Found 92 Documents (Results 1–92)
Nonlinear tunneling of self-similar periodic waves in inhomogeneous two mode optical fibers. (English) Zbl 07884846
Wave motions in discontinuous initial-value problem of the inviscid shallow water wave Jaulent-Miodek model. (English) Zbl 1543.35164
Dynamics of general soliton and rational solutions in the \((3+1)\)-dimensional nonlocal Mel’nikov equation with non-zero background. (English) Zbl 07871722
Doubly localized two-dimensional rogue waves generated by resonant collision in Maccari system. (English) Zbl 1542.35350
Controlled linearly chirped similaritons in inhomogeneous birefringent optical fibers. (English) Zbl 07856674
Rational and semi-rational solutions to the nonlocal Davey-Stewartson III equation. (English) Zbl 1531.35297
General soliton and (semi-)rational solutions of a \((2+1)\)-dimensional sinh-Gordon equation. (English) Zbl 1529.35434
Tau-function formulation for bright, dark soliton and breather solutions to the massive Thirring model. (English) Zbl 1533.37138
Dynamics of general higher-order rogue waves in the two-component long wave-short wave model of Newell type. (English) Zbl 1527.35391
Interactions among the rogue waves and solitons for a \((2 + 1)\)-dimensional Maccari system in fluid mechanics and nonlinear optics. (English) Zbl 07724034
Reviewer: Denys Dutykh (Le Bourget-du-Lac)
Inverse scattering transform for nonlinear Schrödinger systems on a nontrivial background: a survey of classical results, new developments and future directions. (English) Zbl 1519.37087
Manakov system on metric graphs: modeling the reflectionless propagation of vector solitons in networks. (English) Zbl 1518.35210
Interaction of wave structure in the \(\mathcal{PT}\)-symmetric \((3+1)\)-dimensional nonlocal Mel’nikov equation and their applications. (English) Zbl 1530.35274
General higher – order breathers and rogue waves in the two-component long-wave-short-wave resonance interaction model. (English) Zbl 1529.35133
Riemann-Hilbert problem and interactions of solitons in the \(n\)-component nonlinear Schrödinger equations. (English) Zbl 1529.35318
Dynamics of rogue lumps on a background of two-dimensional homoclinic orbits in the Fokas system. (English) Zbl 1505.37085
Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrödinger equations. (English) Zbl 1501.35381
Dynamics of general higher-order rogue waves in the two-component nonlinear Schrödinger equation coupled to the Boussinesq equation. (English) Zbl 1489.35257
Bound states of dark solitons in \(N\)-coupled complex modified Korteweg-de Vries equations. (English) Zbl 1502.37072
Reviewer: Ti-Jun Xiao (Fudan)
Kadomtsev-Petviashvili hierarchy reduction, soliton and semi-rational solutions for the (3+1)-dimensional generalized variable-coefficient shallow water wave equation in a fluid. (English) Zbl 1499.35154
Dark-dark solitons, soliton molecules and elastic collisions in the mixed three-level coupled Maxwell-Bloch equations. (English) Zbl 1486.83084
Data-driven vector soliton solutions of coupled nonlinear Schrödinger equation using a deep learning algorithm. (English) Zbl 1483.35217
Reviewer: Claudia Simionescu-Badea (Wien)
Vector solitons for the (2 + 1)-dimensional coupled nonlinear Schrödinger system in the Kerr nonlinear optical fiber. (English) Zbl 07813172
Universal rogue wave patterns associated with the Yablonskii-Vorob’ev polynomial hierarchy. (English) Zbl 1491.37062
Soliton solutions to the reverse-time nonlocal Davey-Stewartson III equation. (English) Zbl 1524.35600
Dynamics of lump-soliton solutions to the \(PT\)-symmetric nonlocal Fokas system. (English) Zbl 1524.35509
Rogue waves and lumps on the nonzero background in the \(\mathcal{PT}\)-symmetric nonlocal Maccari system. (English) Zbl 1487.35348
Rogue breathers and rogue lumps on a background of dark line solitons for the Maccari system. (English) Zbl 1476.35224
On general solitons in the parity-time-symmetric defocusing nonlinear Schrödinger equation. (English) Zbl 1466.35332
Reviewer: Boris A. Malomed (Tel Aviv)
Bilinear form and solutions of a (3+1)-dimensional generalized nonlinear evolution equation for the shallow-water waves. (English) Zbl 1462.35132
The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system. (English) Zbl 1462.35370
Dynamics of solitons and breathers on a periodic waves background in the nonlocal Mel’nikov equation. (English) Zbl 1516.35383
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: soliton solutions with nonzero background. (English) Zbl 1453.37068
Dynamics of interaction between lumps and solitons in the Mel’nikov equation. (English) Zbl 1448.35437
Nondegenerate soliton solutions in certain coupled nonlinear Schrödinger systems. (English) Zbl 1448.35088
General soliton and (semi-)rational solutions to the nonlocal Mel’nikov equation on the periodic background. (English) Zbl 1454.37066
Rogue waves for a \((2+1)\)-dimensional Gross-Pitaevskii equation with time-varying trapping potential in the Bose-Einstein condensate. (English) Zbl 1443.81040
Binary Darboux transformation and soliton solutions for the coupled complex modified Korteweg-de Vries equations. (English) Zbl 1446.35167
\(P T\)-symmetric nonlocal Davey-Stewartson I equation: general lump-soliton solutions on a background of periodic line waves. (English) Zbl 1434.35193
Inverse scattering transform and solitons for square matrix nonlinear Schrödinger equations with mixed sign reductions and nonzero boundary conditions. (English) Zbl 1439.35360
Bilinear forms and bright-dark solitons for a coupled nonlinear Schrödinger system with variable coefficients in an inhomogeneous optical fiber. (English) Zbl 07828452
Fission and fusion collision of high-order lumps and solitons in a \((3+1)\)-dimensional nonlinear evolution equation. (English) Zbl 1468.37053
Bilinear forms and dark-dark solitons for the coupled cubic-quintic nonlinear Schrödinger equations with variable coefficients in a twin-core optical fiber or non-Kerr medium. (English) Zbl 1452.35183
Dark solitons on a stripe phase background in a two-component Bose-Einstein condensate. (English) Zbl 1464.82008
MSC:
82C10
Pairwise three soliton interactions, soliton logic gates in coupled nonlinear Schrödinger equation with variable coefficients. (English) Zbl 1508.35157
Families of semi-rational solutions to the Kadomtsev-Petviashvili I equation. (English) Zbl 1508.35127
Conservation laws, binary Darboux transformations and solitons for a higher-order nonlinear Schrödinger system. (English) Zbl 1442.37084
Degenerate soliton solutions and their dynamics in the nonlocal Manakov system: I symmetry preserving and symmetry breaking solutions. (English) Zbl 1439.35447
Rational and semi-rational solutions of the modified Kadomtsev-Petviashvili equation and the \((2+1)\)-dimensional Konopelchenko-Dubrovsky equation. (English) Zbl 1430.37074
Lump and mixed rogue-soliton solutions of the (2 + 1)-dimensional Mel’nikov system. (English) Zbl 1432.35045
Higher-order rogue wave-like solutions for a nonautonomous nonlinear Schrödinger equation with external potentials. (English) Zbl 1514.35409
Vector bright soliton interactions of the coupled Sasa-Satsuma equations in the birefringent or two-mode fiber. (English) Zbl 1465.35359
Bright and dark soliton solutions to the partial reverse space-time nonlocal Mel’nikov equation. (English) Zbl 1422.35150
Families of nonsingular soliton solutions of a nonlocal Schrödinger-Boussinesq equation. (English) Zbl 1422.35007
MSC:
35C08
Inverse scattering transform and solitons for square matrix nonlinear Schrödinger equations. (English) Zbl 1420.35375
General soliton solution to a nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions. (English) Zbl 1406.37049
The \(n\)-component nonlinear Schrödinger equations: dark-bright mixed \(N\)- and high-order solitons and breathers, and dynamics. (English) Zbl 1404.35375
Dynamics of lumps and dark-dark solitons in the multi-component long-wave-short-wave resonance interaction system. (English) Zbl 1402.35070
General high-order rogue waves to nonlinear Schrödinger-Boussinesq equation with the dynamical analysis. (English) Zbl 1398.35219
General soliton solutions to a \((2+1)\)-dimensional nonlocal nonlinear Schrödinger equation with zero and nonzero boundary conditions. (English) Zbl 1398.35217
General soliton solutions to a nonlocal long-wave-short-wave resonance interaction equation with nonzero boundary condition. (English) Zbl 1398.35011
Dark-dark solitons for a set of the coupled nonlinear Schrödinger equations in a birefringent fiber. (English) Zbl 1380.35147
Bright and dark soliton solutions to the AB system and its multi-component generalization. (English) Zbl 1510.35258
\(N\)-bright-dark soliton solution to a semi-discrete vector nonlinear Schrödinger equation. (English) Zbl 1387.39003
General bright-dark soliton solution to \((2+1)\)-dimensional multi-component long-wave-short-wave resonance interaction system. (English) Zbl 1375.35071
Bright-dark vector soliton solutions for a generalized coupled Hirota system in the optical glass fiber. (English) Zbl 1510.78015
Quasi-integrability in the modified defocusing non-linear Schrödinger model and dark solitons. (English) Zbl 1388.81201
MSC:
81R12
Mixed-type soliton solutions for the \(N\)-coupled higher-order nonlinear Schrödinger equation in optical fibers. (English) Zbl 1372.35283
Mixed-type soliton solutions for the \(N\)-coupled Hirota system in an optical fiber. (English) Zbl 1359.78010
From the real and complex coupled dispersionless equations to the real and complex short pulse equations. (English) Zbl 1332.35331
Rational solutions to two- and one-dimensional multicomponent Yajima-Oikawa systems. (English) Zbl 1370.35076
Dark-bright soliton solutions with nontrivial polarization interactions for the three-component defocusing nonlinear Schrödinger equation with nonzero boundary conditions. (English) Zbl 1321.35212
The full positive flows of Manakov hierarchy, Hamiltonian structures and conservation laws. (English) Zbl 1329.35294
Filter Results by …
all
top 5
Author
- He, Jingsong (18)
- Rao, Jiguang (14)
- Cheng, Yi (13)
- Tian, Bo (13)
- Mihalache, Dumitru (11)
- Feng, Baofeng (7)
- Liu, Lei (7)
- Yuan, Yu-Qiang (7)
- Cao, Yulei (5)
- Chen, Su-Su (4)
- Liu, Wei (4)
- Ohta, Yasuhiro (4)
- Prinari, Barbara (4)
- Sun, Yan (4)
- Wu, Xiaoyu (4)
- Chen, Junchao (3)
- Chen, Yong (3)
- Kanna, Thambithurai (3)
- Malomed, Boris A. (3)
- Porsezian, Kuppusamy (3)
- Qu, Qixing (3)
- Wu, Chengfa (3)
- Yang, Jianke (3)
- Yu, Guofu (3)
- Zhang, Chen-Rong (3)
- Zhao, Li-Chen (3)
- Zheng, Xiaoxiao (3)
- Du, Zhong (2)
- Fu, Heming (2)
- Gao, Yitian (2)
- Geng, Xianguo (2)
- He, Guoliang (2)
- Jia, Tingting (2)
- Lakshmanan, Muthusamy (2)
- Li, Liu-Qing (2)
- Li, Xiliang (2)
- Lin, Ji (2)
- Ma, Wen-Xiu (2)
- Meng, Ling-Zheng (2)
- Ortiz, Alyssa K. (2)
- Shan, Wenrui (2)
- Shen, Shoufeng (2)
- Stalin, Seenimuthu (2)
- Sun, Baonan (2)
- Sun, Wen-Rong (2)
- Triki, Houria (2)
- Wang, Shengnan (2)
- Wang, Xin (2)
- Wu, Lihua (2)
- Yang, Bo (2)
- Ye, Rusuo (2)
- Zhang, Yi (2)
- Zhou, Qin (2)
- Ablowitz, Mark Jay (1)
- Barthakur, Abhijit (1)
- Berntson, Bjorn K. (1)
- Biondini, Gino (1)
- Cai, Yuejin (1)
- Chai, Han-Peng (1)
- Chu, Mei-Xia (1)
- Deng, Gao-Fu (1)
- Deng, Yue-jun (1)
- Ding, Cui-Cui (1)
- Du, Xia-Xia (1)
- Ehrhardt, Matthias (1)
- Fagerlund, Alexander (1)
- Fan, Engui (1)
- Feng, Yujie (1)
- Gadzhimuradov, Telman A. (1)
- Grabowski, Marek P. (1)
- Guo, Boling (1)
- Hu, Congcong (1)
- Hu, Juan (1)
- Hu, Lei (1)
- Huang, Shuting (1)
- Huang, Yehui (1)
- Jia, Rui-yu (1)
- Jiang, Yan (1)
- Jiang, Ying (1)
- Kang, Jingfeng (1)
- Lan, Yu (1)
- Li, Biao (1)
- Li, Chuanzhong (1)
- Li, Haili (1)
- Li, He (1)
- Li, Jina (1)
- Li, Ming (1)
- Li, Shengqi (1)
- Li, Yuan (1)
- Ling, Liming (1)
- Liu, Jianguo (1)
- Liu, Muwei (1)
- Liu, Shaohua (1)
- Liu, Wenjun J. (1)
- Liu, Yunkai (1)
- Luo, Xiwang (1)
- Luo, Xudan (1)
- Ma, Zhengyi (1)
- Maruno, Kenichi (1)
- Matrasulov, D. U. (1)
- and 47 more Authors
all
top 5
Serial
- Nonlinear Dyn. (12)
- Commun. Nonlinear Sci. Numer. Simul. (10)
- Phys. Lett., A (9)
- Stud. Appl. Math. (9)
- Chaos Solitons Fractals (5)
- Wave Motion (4)
- Physica D (4)
- J. Nonlinear Math. Phys. (4)
- J. Math. Phys. (3)
- Appl. Math. Lett. (3)
- Appl. Anal. (2)
- Comput. Math. Appl. (2)
- Z. Angew. Math. Phys. (2)
- Chaos (2)
- Qual. Theory Dyn. Syst. (2)
- Commun. Theor. Phys. (2)
- Proc. R. Soc. Lond., A, Math. Phys. Eng. Sci. (2)
- J. Math. Anal. Appl. (1)
- Math. Methods Appl. Sci. (1)
- Nonlinearity (1)
- Physica A (1)
- J. Geom. Phys. (1)
- Appl. Math. Comput. (1)
- Acta Appl. Math. (1)
- Int. J. Comput. Math. (1)
- Complexity (1)
- ZAMM, Z. Angew. Math. Mech. (1)
- Proc. R. Soc. Lond., Ser. A, Math. Phys. Eng. Sci. (1)
- J. High Energy Phys. (1)
- Discrete Contin. Dyn. Syst., Ser. B (1)
- SIGMA, Symmetry Integrability Geom. Methods Appl. (1)
- Chin. J. Phys., Taipei (1)