Construction of rational solutions of the real modified Korteweg-de Vries equation from its periodic solutions

DOI10.1063/1.4982721zbMath1390.35313arXiv1704.05599OpenAlexW2607761684WikidataQ47818710 ScholiaQ47818710MaRDI QIDQ4642591

Qiuxia Xing, K. Porsezian, Lihong Wang, Dumitru Mihalache, Jing-Song He

Publication date: 23 May 2018

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

Full work available at URL: https://arxiv.org/abs/1704.05599

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Spectral theory and eigenvalue problems for partial differential equations (35P99) Soliton solutions (35C08)

Related Items

Robust inverse scattering method to the complex modified Korteweg-de Vries equation with nonzero background condition ⋮ Rational solutions of multi‐component nonlinear Schrödinger equation and complex modified KdV equation ⋮ Periodic and rational solutions of the reduced Maxwell-Bloch equations ⋮ Degeneration of breathers in the Kadomttsev-Petviashvili I equation ⋮ Rational and semi-rational solutions of the \(y\)-nonlocal Davey-Stewartson I equation ⋮ The n -component nonlinear Schrödinger equations: dark–bright mixed N - and high-order solitons and breathers, and dynamics ⋮ Deformed solitons of a typical set of (2+1)-dimensional complex modified Korteweg-de Vries equations ⋮ Smooth Positons of the Second-Type Derivative Nonlinear Schrödinger Equation ⋮ General Higher-Order Breather and Hybrid Solutions of the Fokas System ⋮ Rogue waves and hybrid solutions of the Davey-Stewartson I equation

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