A nonlocal variable coefficient modified KdV equation derived from a two-layer fluid system and its exact solutions

DOI10.1016/j.camwa.2019.03.051zbMath1442.35389arXiv1903.00653OpenAlexW2919562164WikidataQ128105430 ScholiaQ128105430MaRDI QIDQ2203265

Zhi-Mei Lou, Jun Yu, Xi-zhong Liu, Xian-Min Qian

Publication date: 5 October 2020

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1903.00653

zbMATH Keywords

periodic wavesinteraction solutionsnonlocal variable coefficient mKdV equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Solutions to PDEs in closed form (35C05)

Related Items (2)

A \((2+1)\)-dimensional variable-coefficients extension of the Date-Jimbo-Kashiwara-Miwa equation: Lie symmetry analysis, optimal system and exact solutions ⋮ Coherent structures of nonlinear barotropic-baroclinic interaction in unequal depth two-layer model

Cites Work

• Unnamed Item
• Unnamed Item
• \(N\)-soliton solution for an integrable nonlocal discrete focusing nonlinear Schrödinger equation
• Symplectic structures, their Bäcklund transformations and hereditary symmetries
• Darboux transformations of classical Boussinesq system and its new solutions
• Exact \(P_sT_d\) invariant and \(P_sT_d\) symmetric breaking solutions, symmetry reductions and Bäcklund transformations for an AB-KdV system
• Coherent structure of Alice-Bob modified Korteweg de-Vries equation
• Nonlinear waves in the modulation instability regime for the fifth-order nonlinear Schrödinger equation
• Darboux transformation and nonautonomous solitons for a modified Kadomtsev-Petviashvili equation with variable coefficients
• Nonlinear waves of a nonlocal modified KdV equation in the atmospheric and oceanic dynamical system
• Integrable multidimensional versions of the nonlocal nonlinear Schrödinger equation
• The Riemann theta function solutions for the hierarchy of Bogoyavlensky lattices
• Integrable Nonlocal Nonlinear Equations
• Quasiperiodic oscillations and homoclinic orbits in the nonlinear nonlocal Schrödinger equation
• Periodic and hyperbolic soliton solutions of a number of nonlocal nonlinear equations

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