Found 70 Documents (Results 1–70)
Rogue waves for the (2+1)-dimensional Myrzakulov-Lakshmanan-IV equation on a periodic background. (English) Zbl 07887640
Rogue waves solutions on the elliptic background of an extended \((3 + 1)\)-dimensional nonlinear Schrödinger equation. (English) Zbl 07869427
MSC:
35Q51
Breather wave solutions on the Weierstrass elliptic periodic background for the \((2 + 1)\)-dimensional generalized variable-coefficient KdV equation. (English) Zbl 07855213
Multi-breathers and higher-order rogue waves on the periodic background in a fourth-order integrable nonlinear Schrödinger equation. (English) Zbl 1541.35466
Riemann-Hilbert approach and \(N\)-soliton solutions for a higher-order coupled nonlinear Schrödinger system. (English) Zbl 1528.35164
Multi-elliptic-dark soliton solutions of the defocusing nonlinear Schrödinger equation. (English) Zbl 1528.35161
Jacobian-elliptic-function and rogue-periodic-wave solutions of a high-order nonlinear Schrödinger equation in an inhomogeneous optical fiber. (English) Zbl 07855242
Rogue waves on the periodic background in the complex modified KdV equation with higher-order effects. (English) Zbl 07825020
The multi elliptic-localized solutions and their asymptotic behaviors for the mKdV equation. (English) Zbl 1529.35441
Interactions of localized wave structures on periodic backgrounds for the coupled Lakshmanan-Porsezian-Daniel equations in birefringent optical fibers. (English) Zbl 07771858
MSC:
81-XX
Spectral and soliton structures for the four-component Kaup-Newell type negative flow equation. (English) Zbl 1527.35195
Rogue-wave and breather solutions of the Fokas-Lenells equation on theta-function backgrounds. (English) Zbl 1530.35285
Rogue waves and breathers of the derivative Yajima-Oikawa long wave-short wave equations on theta-function backgrounds. (English) Zbl 1530.35255
Algebro-geometric quasi-periodic solutions to the Satsuma-Hirota hierarchy. (English) Zbl 1519.37081
Reviewer: Ahmed Lesfari (El Jadida)
Spectral analysis and long-time asymptotics for the Harry Dym-type equation with the Schwartz initial data. (English) Zbl 1512.35423
Higher-order mixed solution and breather solution on a periodic background for the Kundu equation. (English) Zbl 1508.35112
Rogue waves, modulation instability of the \((2+1)\)-dimensional complex modified Korteweg-de Vries equation on the periodic background. (English) Zbl 1524.35554
Periodic waves in the discrete mKdV equation: modulational instability and rogue waves. (English) Zbl 1509.35090
Long-time asymptotics for the complex nonlinear transverse oscillation equation. (English) Zbl 1507.35131
Discrete \(N\)-fold Darboux transformation and infinite number of conservation laws of a four-component Toda lattice. (English) Zbl 1532.37060
Rogue waves of the sixth-order nonlinear Schrödinger equation on a periodic background. (English) Zbl 1514.35412
Multi-bright-dark soliton solutions to the \(AB\) system in nonlinear optics. (English) Zbl 1514.35387
Spectral analysis and long-time asymptotics for the coherently-coupled nonlinear Schrödinger system. (English) Zbl 1503.35206
Application of the nonlinear steepest descent method to the general coupled nonlinear Schrödinger system. (English) Zbl 1501.35367
Spectral analysis and long-time asymptotics of a coupled nonlinear Schrödinger system. (English) Zbl 1498.35517
Localized nonlinear waves on spatio-temporally controllable backgrounds for a (3+1)-dimensional Kadomtsev-Petviashvili-Boussinesq model in water waves. (English) Zbl 1498.35482
MSC:
35Q53
Riemann-Hilbert approach and long-time asymptotics of the positive flow short-pulse equation. (English) Zbl 1501.35277
Solitons, breathers and rogue waves in the coupled nonlocal reverse-time nonlinear Schrödinger equations. (English) Zbl 1501.35381
A vector Geng-Li model: new nonlinear phenomena and breathers on periodic background waves. (English) Zbl 1490.35093
Breathers on elliptic function background for a generalized nonlinear Schrödinger equation with higher-order terms. (English) Zbl 1540.35376
Riemann-Hilbert approach and long-time asymptotics for the three-component derivative nonlinear Schrödinger equation. (English) Zbl 1489.35176
Breathers, rogue waves and breather-rogue waves on a periodic background for the modified nonlinear Schrödinger equation. (English) Zbl 1524.35609
Rogue wave solutions for the generalized fifth-order nonlinear Schrödinger equation on the periodic background. (English) Zbl 1524.35608
Riemann-Hilbert approach and \(N\)-soliton solutions for a negative matrix AKNS system with a Hermitian symmetric space. (English) Zbl 1524.35117
Dark-dark solitons, soliton molecules and elastic collisions in the mixed three-level coupled Maxwell-Bloch equations. (English) Zbl 1486.83084
PINN deep learning method for the Chen-Lee-Liu equation: rogue wave on the periodic background. (English) Zbl 1497.35440
Rogue waves of the fifth-order Ito equation on the general periodic travelling wave solutions background. (English) Zbl 1516.35173
MSC:
35C07
Analytic Riemann theta function solutions of coupled Korteweg-de Vries hierarchy. (English) Zbl 1484.14068
Reviewer: Ahmed Lesfari (El Jadida)
Mechanisms of stationary converted waves and their complexes in the multi-component AB system. (English) Zbl 1508.35098
Rogue waves on the general periodic traveling wave background for an extended modified Korteweg-de Vries equation. (English) Zbl 1479.35723
Darboux transformation of a two-component generalized Sasa-Satsuma equation and explicit solutions. (English) Zbl 1479.35718
Coupled derivative nonlinear Schrödinger III equation: Darboux transformation and higher-order rogue waves in a two-mode nonlinear fiber. (English) Zbl 1510.35318
A generalized integrable lattice hierarchy associated with the Toda and modified Toda lattice equations: Hamiltonian representation, soliton solutions. (English) Zbl 1524.37059
Solitons and dynamics for the integrable nonlocal pair-transition-coupled nonlinear Schrödinger equation. (English) Zbl 1510.35308
Coupled discrete Sawada-Kotera equations and their explicit quasi-periodic solutions. (English) Zbl 1479.35722
Formation of rogue waves on the periodic background in a fifth-order nonlinear Schrödinger equation. (English) Zbl 07412670
Spectral analysis and long-time asymptotics for the potential Wadati-Konno-Ichikawa equation. (English) Zbl 1470.37093
A necessary and sufficient condition for the solvability of the nonlinear Schrödinger equation on a finite interval. (English) Zbl 1467.37064
Rogue waves for the fourth-order nonlinear Schrödinger equation on the periodic background. (English) Zbl 1467.35273
Reviewer: Boris A. Malomed (Tel Aviv)
Periodic travelling waves and rogue waves for the higher-order modified Korteweg-de Vries equation. (English) Zbl 1456.35176
Antidark solitons and soliton molecules in a \((3 + 1)\)-dimensional nonlinear evolution equation. (English) Zbl 1517.35091
Rogue waves for the Hirota equation on the Jacobi elliptic cn-function background. (English) Zbl 1516.35294
Riemann-Hilbert approach and \(N\)-soliton solutions for a new two-component Sasa-Satsuma equation. (English) Zbl 1516.37088
Localized structures on librational and rotational travelling waves in the sine-Gordon equation. (English) Zbl 1472.35010
Lump and lump-soliton interaction solutions for an integrable variable coefficient Kadomtsev-Petviashvili equation. (English) Zbl 1459.35083
A generalized complex mKdV equation: Darboux transformations and explicit solutions. (English) Zbl 1524.35542
Riemann theta function solutions to the coupled long wave-short wave resonance equations. (English) Zbl 1482.35199
Reviewer: Solomon Manukure (Austin)
A matrix Yajima-Oikawa long-wave-short-wave resonance equation, Darboux transformations and rogue wave solutions. (English) Zbl 1475.35108
Reviewer: Pavlos Xenitidis (Liverpool)
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