Inverse scattering transform for the complex reverse space-time nonlocal modified Korteweg-de Vries equation with nonzero boundary conditions and constant phase shift

DOI10.1063/1.5090426zbMath1428.35460OpenAlexW2964467607WikidataQ92345131 ScholiaQ92345131MaRDI QIDQ5233017

Xu-Dan Luo

Publication date: 13 September 2019

Published in: Chaos: An Interdisciplinary Journal of Nonlinear Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1063/1.5090426

zbMATH Keywords

inverse scattering transformsolitonmodified Korteweg-de Vries equation (mKdV)

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Soliton solutions (35C08)

Related Items (8)

Solitons and periodic waves for a generalized (3+1)-dimensional Kadomtsev–Petviashvili equation in fluid dynamics and plasma physics ⋮ Riemann-Hilbert problem for the fifth-order modified Korteweg–de Vries equation with the prescribed initial and boundary values ⋮ Field and reverse field solitons in wave-operator nonlinear Schrödinger equation with space-time reverse: Modulation instability ⋮ Darboux transformation and general soliton solutions for the reverse space-time nonlocal short pulse equation ⋮ Cauchy matrix solutions to some local and nonlocal complex equations ⋮ Multi-place physics and multi-place nonlocal systems ⋮ Riemann-Hilbert problem for the modified Landau-Lifshitz equation with nonzero boundary conditions ⋮ Soliton solutions of the shifted nonlocal NLS and MKdV equations

Cites Work

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• Inverse scattering transform for the nonlocal reverse space-time nonlinear Schrödinger equation
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• Inverse scattering transform for the nonlocal nonlinear Schrödinger equation with nonzero boundary conditions
• Method for Solving the Korteweg-deVries Equation
• The Inverse Scattering Transform‐Fourier Analysis for Nonlinear Problems
• Integrable Nonlocal Nonlinear Equations
• Reverse Space‐Time Nonlocal Sine‐Gordon/Sinh‐Gordon Equations with Nonzero Boundary Conditions
• Inverse scattering transform for the focusing nonlinear Schrödinger equation with nonzero boundary conditions

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