Riemann-Hilbert problems and soliton solutions of nonlocal real reverse-spacetime mKdV equations

DOI10.1016/J.JMAA.2021.124980zbMath1459.35304OpenAlexW3122342443MaRDI QIDQ1998749

Wen-Xiu Ma

Publication date: 8 March 2021

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2021.124980

zbMATH Keywords

inverse scattering transformRiemann-Hilbert problemsoliton solutionmatrix spectral problemparity-time symmetrynonlocal reverse-spacetime integrable equation

Mathematics Subject Classification ID

Integro-partial differential equations (45K05) 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) Inverse spectral and scattering methods for infinite-dimensional Hamiltonian and Lagrangian systems (37K15) Riemann-Hilbert problems in context of PDEs (35Q15) Soliton solutions (35C08)

Related Items (14)

A novel Riemann–Hilbert approach via t-part spectral analysis for a physically significant nonlocal integrable nonlinear Schrödinger equation ⋮ \( \overline{\partial} \)-dressing method for the nonlocal mKdV equation ⋮ Riemann-Hilbert method and multi-soliton solutions of an extended modified Korteweg-de Vries equation with \(N\) distinct arbitrary-order poles ⋮ Solitary wave solutions and integrability for generalized nonlocal complex modified Korteweg-de Vries (cmKdV) equations ⋮ Hybrid structures of localized waves for the coupled extended mKdV equation ⋮ Framework of extended BKP equations possessing N‐wave solutions in (2+1)‐dimensions ⋮ Inverse scattering transform and dynamics of soliton solutions for nonlocal focusing modified Korteweg-de Vries equation ⋮ Riemann–Hilbert problems and N-soliton solutions of the nonlocal reverse space-time Chen–Lee–Liu equation ⋮ Reverse-time type nonlocal Sasa–Satsuma equation and its soliton solutions ⋮ Dynamics of lump collision phenomena to the (3+1)-dimensional nonlinear evolution equation ⋮ Nonlocal Kundu–Eckhaus equation: integrability, Riemann–Hilbert approach and Cauchy problem with step-like initial data ⋮ A nonlocal finite-dimensional integrable system related to the nonlocal nonlinear Schrödinger equation hierarchy ⋮ Quasi-Periodic Solutions to the Nonlocal Nonlinear Schrödinger Equations ⋮ Inverse scattering transform and soliton solutions of an integrable nonlocal Hirota equation

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