Type \((\lambda^\ast,\lambda)\) reduced nonlocal integrable AKNS equations and their soliton solutions

DOI10.1016/j.apnum.2022.12.007zbMATH Open1547.35634MaRDI QIDQ6546911

Wen-Xiu Ma

Publication date: 30 May 2024

Published in: Applied Numerical Mathematics (Search for Journal in Brave)

zbMATH Keywords

soliton solutionintegrable hierarchymatrix spectral problemAKNS equationsnonlocal integrable equation

Mathematics Subject Classification ID

Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) KdV equations (Korteweg-de Vries equations) (35Q53) Scattering theory for PDEs (35P25) Eigenvalues, singular values, and eigenvectors (15A18) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Riemann-Hilbert approach to the Harry-Dym equation on the line
• General \(N\)-solitons and their dynamics in several nonlocal nonlinear Schrödinger equations
• On a nonlocal modified Korteweg-de Vries equation: integrability, Darboux transformation and soliton solutions
• Solitons and dynamics for a general integrable nonlocal coupled nonlinear Schrödinger equation
• Riemann-Hilbert problems and inverse scattering of nonlocal real reverse-spacetime matrix AKNS hierarchies
• Riemann-Hilbert problems and soliton solutions of nonlocal reverse-time NLS hierarchies
• Inverse scattering for nonlocal reverse-time nonlinear Schrödinger equations
• Nonlocal modified KdV equations and their soliton solutions by Hirota method
• Riemann-Hilbert approach and \(N\)-soliton solutions for a generalized Sasa-Satsuma equation
• Soliton solutions of an integrable nonlocal modified Korteweg-de Vries equation through inverse scattering transform
• Inverse scattering transform for the integrable nonlocal nonlinear Schrödinger equation
• Nonlinear Waves in Integrable and Nonintegrable Systems
• Nonlocal nonlinear Schrödinger equations and their soliton solutions
• Integrable Nonlocal Nonlinear Equations
• Riemann‐Hilbert problems and soliton solutions of a multicomponent mKdV system and its reduction
• Inverse scattering transforms for non-local reverse-space matrix non-linear Schrödinger equations
• Inverse scattering transforms and soliton solutions of nonlocal reverse‐space nonlinear Schrödinger hierarchies
• Inverse scattering and soliton solutions of nonlocal reverse-spacetime nonlinear Schrödinger equations
• Integrable properties of the general coupled nonlinear Schrödinger equations

Related Items (4)

Integrable couplings stemming from three-dimensional unital algebras ⋮ Lax integrability and nonlinear dispersive wave phenomenon for the (3 + 1) dimensional Kudryashov-Sinelshchikov equation ⋮ Novel integrable Hamiltonian hierarchies with six potentials ⋮ Inverse scattering transform for the defocusing-defocusing coupled Hirota equations with non-zero boundary conditions: multiple double-pole solutions

This page was built for publication: Type \((\lambda^\ast,\lambda)\) reduced nonlocal integrable AKNS equations and their soliton solutions