Found 385 Documents (Results 1–100)
Exotic localized waves in the higher-order nonlinear Schrödinger equation with nonvanishing boundary conditions. (English) Zbl 07903697
A family of integrable transformations of centroaffine polygons: geometrical aspects. (Sur une famille de transformations intégrables de polygones centroaffines : aspects géométriques.) (English. French summary) Zbl 07877214
The Dbar-dressing method for the (2+1)-dimensional Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1537.37088
On asymptotic stability of multi-solitons for the focusing modified Korteweg-de Vries equation. (English) Zbl 1534.35355
Darboux-dressing transformation and semirational solution to the coupled Sasa-Satsuma equation. (English) Zbl 07802107
The \(\overline{\partial}\)-dressing method and soliton solutions for the reverse space-time nonlocal Sasa-Satsuma equation. (English) Zbl 1532.35426
Pole-fitting for complex functions: enhancing standard techniques by artificial-neural-network classifiers and regressors. (English) Zbl 07788822
Semirational rogue waves of the three coupled higher-order nonlinear Schrödinger equations. (English) Zbl 1528.35160
Dressing for Fokker-Planck equations: the cases of \(1+1\) and \(1+\ell\) dimensions. (English) Zbl 1533.35338
One-step generation of energy-time-polarization-hyper-entangled W-class triphotons: nonlinear and linear optical responses. (English) Zbl 07796737
MSC:
81-XX
The \(\bar{\partial}\)-dressing method applied to nonlinear defocusing Hirota equation with nonzero boundary conditions. (English) Zbl 1523.37075
A \(2+1\) dimensional Volterra type system with nonzero boundary conditions via Dbar dressing method. (English) Zbl 1523.35117
\( \bar{\partial } \)-dressing method for a generalized \((2 + 1)\)-dimensional nonlinear wave equation. (English) Zbl 1523.37076
Dynamic behaviors of vector breather waves and higher-order rogue waves in the coupled Gerdjikov-Ivanov equation. (English) Zbl 1530.35268
The dressing field method in gauge theories – geometric approach. (English) Zbl 1517.70047
Reviewer: Manuel de León (Madrid)
\(\bar{\partial}\)-dressing method for the \((2+1)\)-dimensional Korteweg-de Vries equation. (English) Zbl 1519.35280
Nonlinear Schrödinger equation with nonzero boundary conditions revisited: Dbar approach. (English) Zbl 1516.35392
A \(\overline{\partial } \)-dressing method for the mixed Chen-Lee-Liu derivative nonlinear Schrödinger equation. (English) Zbl 1509.35287
Willmore deformations between minimal surfaces in \(\mathbb{H}^{n+2}\) and \(\mathbb{S}^{n+2}\). (English) Zbl 1514.53050
Reviewer: Vladimir Balan (Bucureşti)
Dbar-approach to coupled nonlocal NLS equation and general nonlocal reduction. (English) Zbl 1529.35482
Resonance interaction of breathers in the Manakov system. (English. Russian original) Zbl 1516.37101
Theor. Math. Phys. 213, No. 3, 1669-1685 (2022); translation from Teor. Mat. Fiz. 213, No. 3, 418-436 (2022).
Rogue waves of wave resonant-interaction equations with the higher-order effects. (English) Zbl 1512.76022
On soliton solutions and soliton interactions of Kulish-Sklyanin and Hirota-Ohta systems. (English. Russian original) Zbl 1516.37080
Theor. Math. Phys. 213, No. 1, 1331-1347 (2022); translation from Teor. Mat. Fiz. 213, No. 1, 20-40 (2022).
Exotic localized waves in the shifted nonlocal multicomponent nonlinear Schrödinger equation. (English. Russian original) Zbl 1516.37110
Theor. Math. Phys. 212, No. 3, 1193-1210 (2022); translation from Teor. Mat. Fiz. 212, No. 3, 354-373 (2022).
The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Konopelchenko-Dubrovsky equation. (English) Zbl 1498.35176
The \(\bar{\partial}\)-dressing method for the (2+1)-dimensional Jimbo-Miwa equation. (English) Zbl 1495.37059
Reviewer: Arsen Melikyan (Brasília)
Quasi-periodic wave solutions of the nonlocal coupled nonlinear Schrödinger equation. (English) Zbl 1492.35321
High order rational solitons and their dynamics of the 3-wave resonant interaction equation. (English) Zbl 1490.35095
Higher-order semi-rational solutions for the coupled complex modified Korteweg-de Vries equation. (English) Zbl 1484.35330
Novel rogue waves for a mixed coupled nonlinear Schrödinger equation on Darboux-dressing transformation. (English) Zbl 1481.35355
Dressing operators in equivariant Gromov-Witten theory of \(\mathbb{CP}^1\). (English) Zbl 1505.37084
The application of the \(\bar\partial\)-dressing method to the \((2+1)\)-dimensional Date-Jimbo-Kashiwara-Miwa equation. (English) Zbl 1487.35009
Application of the \(\bar\partial \)-dressing method to a \((2+1)\)-dimensional equation. (English. Russian original) Zbl 1486.81147
Theor. Math. Phys. 209, No. 3, 1717-1725 (2021); translation from Teor. Mat. Fiz. 209, No. 3, 465-474 (2021).
Multi-soliton solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method. (English) Zbl 1484.35122
Vector breather waves and higher-order rouge waves to the coupled higher-order nonlinear Schrödinger equations. (English) Zbl 1479.35731
Darboux dressing transformation and superregular breathers for a coupled nonlinear Schrödinger system with the negative coherent coupling in a weakly birefringent fibre. (English) Zbl 1479.35827
On the \(\bar\partial \)-problem and dressing method for the complex vector modified KdV equation. (English. Russian original) Zbl 1484.37077
Theor. Math. Phys. 209, No. 2, 1579-1598 (2021); translation from Teor. Mat. Fiz. 209, No. 2, 304-325 (2021).
\( \bar\partial \)-dressing method for a few \((2+1)\)-dimensional integrable coupling systems. (English. Russian original) Zbl 1482.81040
Theor. Math. Phys. 208, No. 3, 1239-1255 (2021); translation from Teor. Mat. Fiz. 208, No. 3, 452-470 (2021).
Solitons for the modified Camassa-Holm equation and their interactions via dressing method. (English) Zbl 1477.35223
Dbar-dressing method for the Gerdjikov-Ivanov equation with nonzero boundary conditions. (English) Zbl 1479.35809
A hierarchy of nonlocal nonlinear evolution equations and \(\overline{\partial} \)-dressing method. (English) Zbl 1479.35745
Asymmetrical, rotational and ultra-high amplitude fundamental polarized optical rogue waves associated with the coherent coupling. (English) Zbl 07409417
Dressing for a vector modified KdV hierarchy. (English) Zbl 1478.37067
Paranjape, M. B. (ed.) et al., Quantum theory and symmetries. Proceedings of the 11th international symposium, Montréal, Canada, July 1–5, 2019. Cham: Springer. CRM Ser. Math. Phys., 513-522 (2021).
An accurate \(\mathcal{O}(N^2)\) floating point algorithm for the Crum transform of the KdV equation. (English) Zbl 1476.35226
Soliton solutions of the nonlinear Schrödinger equation with defect conditions. (English) Zbl 1476.37084
Reviewer: Rakib Efendiev (Baku)
Complete classification of rational solutions of \(A_{2n}\)-Painlevé systems. (English) Zbl 1472.37067
Reviewer: Mengkun Zhu (Jinan)
The \(\overline{\partial} \)-dressing method and Cauchy matrix for the defocusing matrix NLS system. (English) Zbl 1462.35370
Coupled cubic-quintic nonlinear Schrödinger equation: novel bright-dark rogue waves and dynamics. (English) Zbl 1516.35390
Bright-dark soliton, breather and semirational rogue wave solutions for a coupled AB system. (English) Zbl 1516.76093
Vector semirational rogue waves for the coupled nonlinear Schrödinger equations with the higher-order effects in the elliptically birefringent optical fiber. (English) Zbl 1505.78026
Solutions to the Kaup-Broer system and its \((2+1)\) dimensional integrable generalization via the dressing method. (English) Zbl 1486.35124
Multi-lump solutions of KP equation with integrable boundary via \(\overline{\partial}\)-dressing method. (English) Zbl 1485.35114
Polarization dynamics in a resonant optical medium with initial coherence between degenerate states. (English) Zbl 1444.78002
\( \overline{\partial} \)-dressing method for the coupled Gerdjikov-Ivanov equation. (English) Zbl 1451.35191
Dynamics of breather waves and rogue waves on a soliton background in the coupled Hirota systems. (English) Zbl 1446.35164
Exceptional orthogonal polynomials and rational solutions to Painlevé equations. (English) Zbl 1443.33014
Foupouagnigni, Mama (ed.) et al., Orthogonal polynomials. Proceedings of the 2nd AIMS-Volkswagen Stiftung workshop on introduction to orthogonal polynomials and applications, Douala, Cameroon, October 5–12, 2018. Cham: Birkhäuser. Tutor. Sch. Workshops Math. Sci., 335-386 (2020).
Cyclic Maya diagrams and rational solutions of higher order Painlevé systems. (English) Zbl 1441.81084
Lax pair, Darboux-dressing transformation and localized waves of the coupled mixed derivative nonlinear Schrödinger equation in a birefringent optical fiber. (English) Zbl 1442.35433
Camassa-Holm cuspons, solitons and their interactions via the dressing method. (English) Zbl 1436.37088
Vector multi-rogue waves for the three-coupled fourth-order nonlinear Schrödinger equations in an alpha helical protein. (English) Zbl 1508.35145
Dressing method for the multicomponent short-pulse equation. (English. Russian original) Zbl 1434.78023
Theor. Math. Phys. 199, No. 2, 709-718 (2019); translation from Teor. Mat. Fiz. 199, No. 2, 272-282 (2019).
Dressing the boundary: on soliton solutions of the nonlinear Schrödinger equation on the half-line. (English) Zbl 1420.35388
Discrete and continuous coupled nonlinear integrable systems via the dressing method. (English) Zbl 1420.35342
Solutions to a vector Heisenberg ferromagnet equation related to symmetric spaces. (English) Zbl 1420.35409
Mladenov, Ivaïlo M. (ed.) et al., Proceedings of the 20th international conference on geometry, integrability and quantization, Sts. Constantine and Elena (near Varna), Bulgaria, June 2–7, 2018. Sofia: Avangard Prima; Sofia: Bulgarian Academy of Sciences, Institute of Biophysics and Biomedical Engineering. Geom. Integrability Quantization 20, 285-296 (2019).
Simple factor dressing and the López-Ros deformation of minimal surfaces in Euclidean 3-space. (English) Zbl 1428.58014
Reviewer: Vladimir Balan (Bucureşti)
Nonlinear waves. A geometrical approach. (English) Zbl 1429.35005
Series on Analysis, Applications and Computation 9. Hackensack, NJ: World Scientific (ISBN 978-981-327-160-9/hbk; 978-981-327-162-3/ebook). xi, 196 p. (2019).
Reviewer: Boris A. Malomed (Tel Aviv)
Vector bright soliton interactions of the coupled Sasa-Satsuma equations in the birefringent or two-mode fiber. (English) Zbl 1465.35359
The dressing chain and one-point commuting difference operators of rank 1. (English. Russian original) Zbl 07043647
Sib. Math. J. 59, No. 5, 901-908 (2018); translation from Sib. Mat. Zh. 59, No. 5, 1136-1144 (2018).
Integrable potentials by Darboux transformations in rings and quantum and classical problems. (English. Russian original) Zbl 07011495
Theor. Math. Phys. 197, No. 1, 1487-1500 (2018); translation from Teor. Mat. Fiz. 197, No. 1, 108-123 (2018).
Nonlocal reductions of the multicomponent nonlinear Schrödinger equation on symmetric spaces. (English. Russian original) Zbl 1405.37077
Theor. Math. Phys. 197, No. 1, 1430-1450 (2018); translation from Teor. Mat. Fiz. 197, No. 1, 45-67 (2018).
Matter rogue waves for the three-component Gross-Pitaevskii equations in the spinor Bose-Einstein condensates. (English) Zbl 1402.76165
Pseudo-Hermitian reduction of a generalized Heisenberg ferromagnet equation. II: Special solutions. (English) Zbl 1417.35010
Dressing the dressing chain. (English) Zbl 1394.35413
Wave fronts and cascades of soliton interactions in the periodic two dimensional Volterra system. (English) Zbl 1415.37093
A universal constraint on the infrared behavior of the ghost propagator in QCD. (English) Zbl 1403.81038
Multidimensional linearizable system of \(n\)-wave-type equations. (English. Russian original) Zbl 1383.35059
Theor. Math. Phys. 190, No. 1, 43-51 (2017); translation from Teor. Mat. Fiz. 190, No. 1, 48-57 (2017).
Dressing actions on proper definite affine spheres. (English) Zbl 1394.53016
Reviewer: Luc Vrancken (Valenciennes)
Differential operators on the superline, Berezinians, and Darboux transformations. (English) Zbl 1394.16027
Linearly degenerate hierarchies of quasiclassical SDYM type. (English) Zbl 1377.37093
Reviewer: Gabor Etesi (Budapest)
On the dressing factors, Bethe equations and Yangian symmetry of strings on \(\mathrm{AdS}_3\times S^3\times T^4\). (English) Zbl 1360.81265
Reviewer: T. C. Mohan (Chennai)
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