Ahmad, R.; Groves, M. D. Spatial dynamics and solitary hydroelastic surface waves. (English) Zbl 07866604 Water Waves 6, No. 1, 5-47 (2024). Reviewer: Denys Dutykh (Le Bourget-du-Lac) MSC: 76B25 35Q35 37N10 74F10 86A05 86A40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Coppini, F.; Santini, P. M. The effect of loss/gain and Hamiltonian perturbations of the Ablowitz-Ladik lattice on the recurrence of periodic anomalous waves. (English) Zbl 1537.37094 J. Phys. A, Math. Theor. 57, No. 7, Article ID 075701, 28 p. (2024). MSC: 37K60 37K55 37K40 35Q55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Coppini, F.; Grinevich, P. G.; Santini, P. M. The periodic \(N\) breather anomalous wave solution of the Davey-Stewartson equations; first appearance, recurrence, and blow up properties. (English) Zbl 1531.35115 J. Phys. A, Math. Theor. 57, No. 1, Article ID 015208, 26 p. (2024). MSC: 35C08 35Q51 35Q55 37K10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Coppini, F.; Santini, P. M. Modulation instability, periodic anomalous wave recurrence, and blow up in the Ablowitz-Ladik lattices. (English) Zbl 1533.37152 J. Phys. A, Math. Theor. 57, No. 1, Article ID 015202, 28 p. (2024). MSC: 37K60 37K35 35Q55 39A14 39A36 × Cite Format Result Cite Review PDF Full Text: DOI arXiv OA License
Stöhr, M.; Wolfrum, M. Temporal dissipative solitons in the Morris-Lecar model with time-delayed feedback. (English) Zbl 07881244 Chaos 33, No. 2, Article ID 023117, 9 p. (2023). MSC: 37-XX 34-XX × Cite Format Result Cite Review PDF Full Text: DOI
Cao, Yulei; Cheng, Yi; He, Jingsong Resonant collisions of high-order localized waves in the Maccari system. (English) Zbl 1512.35506 J. Math. Phys. 64, No. 4, Article ID 043501, 18 p. (2023). MSC: 35Q51 35Q55 35C08 35Q53 37K10 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Coppini, F.; Grinevich, P. G.; Santini, P. M. Periodic rogue waves and perturbation theory. (English) Zbl 07907949 Gaeta, Giuseppe (ed.), Perturbation theory. Mathematics, methods and applications. New York, NY: Springer; Springer Reference. Encycl. Complex. Syst. Sci. Ser., 565-584 (2022). MSC: 37-XX 70-XX × Cite Format Result Cite Review PDF Full Text: DOI
Rao, Jiguang; He, Jingsong; Malomed, Boris A. Resonant collisions between lumps and periodic solitons in the Kadomtsev-Petviashvili I equation. (English) Zbl 1507.35226 J. Math. Phys. 63, No. 1, Article ID 013510, 24 p. (2022). MSC: 35Q51 37K10 37K40 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Rao, Jiguang; Mihalache, Dumitru; He, Jingsong Dynamics of rogue lumps on a background of two-dimensional homoclinic orbits in the Fokas system. (English) Zbl 1505.37085 Appl. Math. Lett. 134, Article ID 108362, 8 p. (2022). MSC: 37K40 37K10 35Q51 35C08 × Cite Format Result Cite Review PDF Full Text: DOI
Rao, Jiguang; Kanna, T.; Mihalache, Dumitru; He, Jingsong Resonant collision of lumps with homoclinic orbits in the two-dimensional multi-component long-wave-short-wave resonance interaction systems. (English) Zbl 1502.70034 Physica D 439, Article ID 133281, 13 p. (2022). MSC: 70F16 70K44 37C29 × Cite Format Result Cite Review PDF Full Text: DOI
Hai, Rihan; Gegen, Hasi \(M\)-lump solution, semirational solution, and self-consistent source extension of a novel \(( 2 + 1)\)-dimensional KdV equation. (English) Zbl 1496.35344 Adv. Math. Phys. 2022, Article ID 8105654, 17 p. (2022). MSC: 35Q53 35Q51 35B40 37K10 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Weng, Weifang; Zhang, Guoqiang; Zhang, Minghe; Zhou, Zijian; Yan, Zhenya Semi-rational vector rogon-soliton solutions and asymptotic analysis for any \(n\)-component nonlinear Schrödinger equation with mixed boundary conditions. (English) Zbl 1490.35459 Physica D 432, Article ID 133150, 15 p. (2022). MSC: 35Q55 35Q41 35C08 35B40 37K35 × Cite Format Result Cite Review PDF Full Text: DOI
Grinevich, P. G.; Santini, P. M. The linear and nonlinear instability of the Akhmediev breather. (English) Zbl 1477.35240 Nonlinearity 34, No. 12, 8331-8358 (2021). MSC: 35Q55 35B35 37K45 35B20 35C08 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Faver, Timothy E. Nanopteron-stegoton traveling waves in spring dimer Fermi-Pasta-Ulam-Tsingou lattices. (English) Zbl 1458.37079 Q. Appl. Math. 78, No. 3, 363-429 (2020). Reviewer: Caidi Zhao (Wenzhou) MSC: 37L60 34A33 35C07 35C08 35Q53 74J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Huhn, Francisco; Magri, Luca Stability, sensitivity and optimisation of chaotic acoustic oscillations. (English) Zbl 1430.76421 J. Fluid Mech. 882, Paper No. A24, 34 p. (2020). MSC: 76Q05 37D45 37N10 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grinevich, P. G.; Santini, P. M. The finite-gap method and the periodic NLS Cauchy problem of anomalous waves for a finite number of unstable modes. (English. Russian original) Zbl 1454.35340 Russ. Math. Surv. 74, No. 2, 211-263 (2019); translation from Usp. Mat. Nauk 74, No. 2, 27-80 (2019). MSC: 35Q55 37K10 35C08 74J30 78A60 76B25 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Akers, Adelaide; Walsh, Samuel Solitary water waves with discontinuous vorticity. (English. French summary) Zbl 1408.35224 J. Math. Pures Appl. (9) 124, 220-272 (2019). Reviewer: Y. Charles Li (Columbia) MSC: 35R35 76B15 76B25 37K50 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Zhao, Baojun; Wang, Ruyun; Yang, Hongwei Three-dimensional coupled NLS equations for envelope gravity solitary waves in baroclinic atmosphere and modulational instability. (English) Zbl 1427.86008 Math. Probl. Eng. 2018, Article ID 4276591, 12 p. (2018). MSC: 86A10 76B15 35Q86 35Q55 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Bandelow, U.; Ankiewicz, A.; Amiranashvili, Sh.; Akhmediev, N. Sasa-Satsuma hierarchy of integrable evolution equations. (English) Zbl 1391.37047 Chaos 28, No. 5, 053108, 11 p. (2018). MSC: 37K10 35Q55 35C11 × Cite Format Result Cite Review PDF Full Text: DOI Link
Faver, Timothy E.; Wright, J. Douglas Exact diatomic Fermi-Pasta-Ulam-Tsingou solitary waves with optical band ripples at infinity. (English) Zbl 1381.37092 SIAM J. Math. Anal. 50, No. 1, 182-250 (2018). MSC: 37K60 37L60 37L50 74J35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Jaradat, Husein M. Dynamic behavior of traveling wave solutions for new couplings of the Burgers equations with time-dependent variable coefficients. (English) Zbl 1422.35141 Adv. Difference Equ. 2017, Paper No. 167, 10 p. (2017). MSC: 35Q53 35C08 35Q51 37K40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Hoffman, Aaron; Wright, J. Douglas Nanopteron solutions of diatomic Fermi-Pasta-Ulam-Tsingou lattices with small mass-ratio. (English) Zbl 1378.35067 Physica D 358, 33-59 (2017). MSC: 35C07 35C08 35B25 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Blackmore, Denis; Rosato, Anthony; Sen, Surajit; Wu, Hao Simulation, modeling and dynamical analysis of multibody flows. (English) Zbl 1364.76231 Int. J. Mod. Phys. B 31, No. 10, Article ID 1742004, 13 p. (2017). MSC: 76T25 76M10 37N10 × Cite Format Result Cite Review PDF Full Text: DOI
Zhao, Xue-Hui; Tian, Bo; Li, Hui-Min; Guo, Yong-Jiang Solitons, periodic waves, breathers and integrability for a nonisospectral and variable-coefficient fifth-order Korteweg-de Vries equation in fluids. (English) Zbl 1356.35213 Appl. Math. Lett. 65, 48-55 (2017). MSC: 35Q53 35C08 37K35 68W30 35B10 14K25 × Cite Format Result Cite Review PDF Full Text: DOI
Gay-Balmaz, François; Yoshimura, Hiroaki A Lagrangian variational formulation for nonequilibrium thermodynamics. I: Discrete systems. (English) Zbl 1404.37033 J. Geom. Phys. 111, 169-193 (2017). Reviewer: Liviu Popescu (Craiova) MSC: 37D35 37J60 49S05 70F25 × Cite Format Result Cite Review PDF Full Text: DOI
Lin, Jeffrey; Scalo, Carlo; Hesselink, Lambertus High-fidelity simulation of a standing-wave thermoacoustic-piezoelectric engine. (English) Zbl 1383.76081 J. Fluid Mech. 808, 19-60 (2016). MSC: 76D05 76Q05 37N10 74F10 74F15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Sandstede, Björn; Theerakarn, Thunwa Regularity of center manifolds via the graph transform. (English) Zbl 1356.37067 J. Dyn. Differ. Equations 27, No. 3-4, 989-1006 (2015). MSC: 37G10 34C23 × Cite Format Result Cite Review PDF Full Text: DOI
Haragus, Mariana Transverse dynamics of two-dimensional gravity-capillary periodic water waves. (English) Zbl 1356.37082 J. Dyn. Differ. Equations 27, No. 3-4, 683-703 (2015). MSC: 37N10 76B15 35B35 35Q53 × Cite Format Result Cite Review PDF Full Text: DOI
Haragus, Mariana; Kapitula, Todd Spots and stripes in nonlinear Schrödinger-type equations with nearly one-dimensional potentials. (English) Zbl 1282.35346 Math. Methods Appl. Sci. 37, No. 1, 75-94 (2014). MSC: 35Q55 37L10 35B32 × Cite Format Result Cite Review PDF Full Text: DOI
Yu, Xin; Gao, Yi-Tian; Sun, Zhi-Yuan; Liu, Ying Investigation on a nonisospectral fifth-order Korteweg-de Vries equation generalized from fluids. (English) Zbl 1273.35244 J. Math. Phys. 53, No. 1, 013502, 8 p. (2012). MSC: 35Q53 37K10 37K35 33F10 35C08 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Gluhovsky, Alexander; Tong, Christopher Comments on “Modeling of chaotic motion of gyrostats in resistant environment on the base of dynamical systems with strange attractors”. (English) Zbl 1335.70021 Commun. Nonlinear Sci. Numer. Simul. 17, No. 7, 3112-3113 (2012). MSC: 70E17 37D45 37N05 70K55 × Cite Format Result Cite Review PDF Full Text: DOI
Yue, BaoZeng; Song, XiaoJuan Heteroclinic bifurcations in attitude maneuver of coupled slosh-spacecraft with flexible appendage. (English) Zbl 1237.70021 Sci. China, Technol. Sci. 54, No. 8, 2090-2099 (2011). MSC: 70E55 70Q05 37G10 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Maruno, Ken-Ichi; Kajiwara, Kenji The discrete potential Boussinesq equation and its multisoliton solutions. (English) Zbl 1189.35269 Appl. Anal. 89, No. 4, 593-609 (2010). MSC: 35Q51 37K10 35C08 39A12 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Chakravarty, Sarbarish; Lewkow, Tim; Maruno, Ken-Ichi On the construction of the KP line-solitons and their interactions. (English) Zbl 1230.37082 Appl. Anal. 89, No. 4, 529-545 (2010). Reviewer: Andrew Pickering (Madrid) MSC: 37K10 37K35 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Cartwright, Julyan H. E.; Tritton, David J. Chaotic dynamics and reversal statistics of the forced spherical pendulum: comparing the miles equations with experiment. (English) Zbl 1191.37021 Dyn. Syst. 25, No. 1, 1-16 (2010). Reviewer: Mohammad Reza Molaei (Kerman) MSC: 37D45 70K55 37N15 70K40 34C15 34C28 86A25 × Cite Format Result Cite Review PDF Full Text: DOI Link
Biondini, G.; Maruno, K.-I.; Oikawa, M.; Tsuji, H. Soliton interactions of the Kadomtsev-Petviashvili equation and generation of large-amplitude water waves. (English) Zbl 1172.35475 Stud. Appl. Math. 122, No. 4, 377-394 (2009); corrigendum ibid. 123, No. 4, 375-376 (2009). MSC: 35Q53 37K10 35Q51 76B15 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Choudhury, Roy; Ivanov, Rossen I.; Liu, Yue Hamiltonian formulation, nonintegrability and local bifurcations for the Ostrovsky equation. (English) Zbl 1130.37031 Chaos Solitons Fractals 34, No. 2, 544-550 (2007). MSC: 37K05 35Q53 35Q51 83C35 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Biondini, Gino; Chakravarty, S. Soliton solutions of the Kadomtsev-Petviashvili II equation. (English) Zbl 1111.35055 J. Math. Phys. 47, No. 3, 033514, 26 p. (2006). MSC: 35Q53 35Q51 37K40 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Grasman, Johan; Verhulst, Ferdinand; Shih, Shagi-Di The Lyapunov exponents of the Van der Pol oscillator. (English) Zbl 1081.34046 Math. Methods Appl. Sci. 28, No. 10, 1131-1139 (2005). Reviewer: Victor Sharapov (Volgograd) MSC: 34D08 34C15 37M25 34E05 × Cite Format Result Cite Review PDF Full Text: DOI
Kuang, Jinlu; Leung, A. Y. T.; Tan, Soonhie Hamiltonian and chaotic attitude dynamics of an orbiting gyrostat satellite under gravity-gradient torques. (English) Zbl 1051.70018 Physica D 186, No. 1-2, 1-19 (2003). MSC: 70M20 70H05 37N05 × Cite Format Result Cite Review PDF Full Text: DOI
Deconinck, Bernard; Kutz, J. Nathan Singular instability of exact stationary solutions of the non-local Gross-Pitaevskii equation. (English) Zbl 1045.35077 Phys. Lett., A 319, No. 1-2, 97-103 (2003). MSC: 35Q55 37K55 × Cite Format Result Cite Review PDF Full Text: DOI arXiv
Matsuno, Yoshimasa Dark soliton generation for the intermediate nonlinear Schrödinger equation. (English) Zbl 1059.35138 J. Math. Phys. 43, No. 2, 984-1007 (2002). MSC: 35Q55 35Q51 37K40 76B25 × Cite Format Result Cite Review PDF Full Text: DOI
Hong, Jialin; Qin, Meng-Zhao Multisymplecticity of the centred box discretization for Hamiltonian PDEs with \(m\geq 2\) space dimensions. (English) Zbl 1009.37051 Appl. Math. Lett. 15, No. 8, 1005-1011 (2002). MSC: 37M15 37K10 65P10 × Cite Format Result Cite Review PDF Full Text: DOI
Kuang, Jinlu; Tan, Soonhie; Arichandran, Kandian; Leung, A. Y. T. Chaotic attitude motion of gyrostat satellite via Melnikov method. (English) Zbl 1090.70513 Int. J. Bifurcation Chaos Appl. Sci. Eng. 11, No. 5, 1233-1260 (2001). MSC: 70M20 70E05 37N05 70K55 × Cite Format Result Cite Review PDF Full Text: DOI Link
Wazwaz, A. M. Construction of solitary wave solutions and rational solutions for the KdV equation by Adomian decomposition method. (English) Zbl 0992.35092 Chaos Solitons Fractals 12, No. 12, 2283-2293 (2001). MSC: 35Q53 35C05 35A25 37K40 × Cite Format Result Cite Review PDF Full Text: DOI
Groves, M. D. An existence theory for three-dimensional periodic travelling gravity-capillary water waves with bounded transverse profiles. (English) Zbl 1037.76005 Physica D 152-153, 395-415 (2001). MSC: 76B15 76B45 35Q35 37N10 × Cite Format Result Cite Review PDF Full Text: DOI
Fahrenthold, E. P.; Koo, J. C. Discrete Hamilton’s equations for viscous compressible fluid dynamics. (English) Zbl 0966.76046 Comput. Methods Appl. Mech. Eng. 178, No. 1-2, 1-22 (1999). MSC: 76M10 76N15 70H05 37N10 × Cite Format Result Cite Review PDF Full Text: DOI
Van Der Heijden, G. H. M.; Thompson, J. M. T. Lock-on to tape-like behaviour in the torsional buckling of anisotropic rods. (English) Zbl 1194.37167 Physica D 112, No. 1-2, 201-224 (1998). MSC: 37N15 34C37 74K10 × Cite Format Result Cite Review PDF Full Text: DOI
Champneys, A. R. Homoclinic orbits in reversible systems and their applications in mechanics, fluids and optics. (English) Zbl 1194.37154 Physica D 112, No. 1-2, 158-186 (1998). MSC: 37N10 37N20 34C37 76E30 78A99 × Cite Format Result Cite Review PDF Full Text: DOI
Matveyev, Mikhail V. Reversible systems with first integrals. (English) Zbl 1194.37159 Physica D 112, No. 1-2, 148-157 (1998). MSC: 37N10 37K99 34D20 34C20 × Cite Format Result Cite Review PDF Full Text: DOI
Tajiri, Masayoshi; Watanabe, Yosuke Periodic soliton solutions as imbricate series of rational solitons: solutions to the Kadomtsev-Petviashvili equation with positive dispersion. (English) Zbl 0949.35123 J. Nonlinear Math. Phys. 4, No. 3-4, 350-357 (1997). MSC: 35Q53 37K40 × Cite Format Result Cite Review PDF Full Text: DOI OA License
Belyutin, S. V. Investigating the exact integrability of the multiwave nonlinear Schrödinger equation. (English. Russian original) Zbl 0917.35125 Theor. Math. Phys. 110, No. 2, 190-198 (1997); translation from Teor. Mat. Fiz. 110, No. 2, 242-253 (1997). MSC: 35Q55 37J35 37K10 × Cite Format Result Cite Review PDF Full Text: DOI
Malhotra, N.; Sri Namachchivaya, N. Global dynamics of parametrically excited nonlinear reversible systems with nonsemisimple 1:1 resonance. (English) Zbl 0886.34042 Physica D 89, No. 1-2, 43-70 (1995). MSC: 34C23 74H45 37G99 × Cite Format Result Cite Review PDF Full Text: DOI
Sekar, P.; Narayanan, S. Chaos in mechanical systems – a review. (English) Zbl 1014.37023 Sādhanā 20, No. 2-4, 529-582 (1995). MSC: 37D45 37-02 70K50 74Hxx × Cite Format Result Cite Review PDF Full Text: DOI
Bridges, T. J. Hamiltonian spatial structure for three-dimensional water waves in a moving frame of reference. (English) Zbl 0803.76011 J. Nonlinear Sci. 4, No. 3, 221-251 (1994). MSC: 76B15 76B45 37J99 × Cite Format Result Cite Review PDF Full Text: DOI
Sonis, Michael Calculus of iterations and labor-capital core-periphery relative redistribution dynamics. (English) Zbl 0809.90023 Chaos Solitons Fractals 4, No. 4, 535-552 (1994). MSC: 91B62 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Glozman, Michael; Agnon, Yehuda; Stiassnie, Michael High-order formulation of the water-wave problem. (English) Zbl 0785.76011 Physica D 66, No. 3-4, 347-367 (1993). MSC: 76B15 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Vanderbauwhede, André; Fiedler, Bernold Homoclinic period blow-up in reversible and conservative systems. (English) Zbl 0762.34023 Z. Angew. Math. Phys. 43, No. 2, 292-318 (1992). Reviewer: A.Steindl (Wien) MSC: 34C37 34C23 34C25 37G99 × Cite Format Result Cite Review PDF Full Text: DOI
Cox, Edward A.; Mortell, Michael P. The evolution of nonlinear resonant oscillations in closed tubes: solution of the standard mapping. (English) Zbl 1055.76542 Chaos 2, No. 2, 201-214 (1992). MSC: 76N15 35Q99 37N10 × Cite Format Result Cite Review PDF Full Text: DOI
Shyy, W. Structure of an adaptive grid computational method from the viewpoint of dynamic chaos. (English) Zbl 0714.76091 Appl. Numer. Math. 7, No. 3, 263-285 (1991). MSC: 76R50 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Stiassnie, Michael; Agnon, Yehuda; Shemer, Lev Fractal dimensions of random water surfaces. (English) Zbl 0713.76022 Physica D 47, No. 3, 341-352 (1991). MSC: 76B15 76M35 76B45 37D45 × Cite Format Result Cite Review PDF Full Text: DOI
Skowronski, J. M.; Guttalu, R. S. Real-time attractors. (English) Zbl 0731.34060 Dyn. Stab. Syst. 5, No. 4, 255-279 (1990). Reviewer: J.Kalas (Brno) MSC: 34D45 34D35 34D40 37C70 × Cite Format Result Cite Review PDF Full Text: DOI
Leese, Robert Extended wave solutions in an integrable chiral model in \((2+1)\) dimensions. (English) Zbl 0692.58016 J. Math. Phys. 30, No. 9, 2072-2077 (1989). MSC: 37J35 37K10 35Q99 58J50 × Cite Format Result Cite Review PDF Full Text: DOI
Ikeda, Kensuke; Matsumoto, Kenji High-dimensional chaotic behavior in systems with time-delayed feedback. (English) Zbl 0626.58014 Physica D 29, No. 1-2, 223-235 (1987). MSC: 37-XX 28D99 × Cite Format Result Cite Review PDF Full Text: DOI
Liu, Zhengrong Discontinuous and impulsive excitation. (English) Zbl 0611.70020 Appl. Math. Mech., Engl. Ed. 8, 31-35 (1987). MSC: 70J30 37-XX × Cite Format Result Cite Review PDF Full Text: DOI
Hsu, Chieh-Su; Kim, Myun C. Statistics of strange attractors by generalized cell mapping. (English) Zbl 0624.58023 J. Stat. Phys. 38, 735-761 (1985). MSC: 37D45 62P99 × Cite Format Result Cite Review PDF Full Text: DOI