Existence of exotic waves for the nonlinear dispersive mKdV equation

DOI10.1016/j.amc.2013.12.043zbMath1364.35322OpenAlexW2036678012MaRDI QIDQ530077

Lixin Tian, Jiuli Yin, Xinghua Fan, Shanyu Ding, Xiaoyan Deng

Publication date: 9 June 2017

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.043

zbMATH Keywords

composite waveexotic traveling wavenonlinear dispersive mkdv equationpainleve property

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07)

Related Items (1)

Solutions of 1-D dispersive equation with time and space-fractional derivatives

Cites Work

• Soliton solutions for \((2+1)\)-dimensional and \((3+1)\)-dimensional \(K(m, n)\) equations
• Solitary wave solutions and kink wave solutions for a generalized KdV-mKdV equation
• Exact and analytical solution for nonlinear dispersive \(K(m,p)\) equations using homotopy perturbation method
• New Miura type transformations between integrable dispersive wave equations
• Exp-function method for nonlinear wave equations
• Classification of the travelling waves in the nonlinear dispersive KdV equation
• Painlevé analysis, auto-Bäcklund transformations and exact solutions for a simplified model for reacting mixtures
• Solitary wave solutions of the MKdV\(^-\) equation
• On exact travelling wave solutions for two types of nonlinear \(K(n,n)\) equations and a generalized KP equation
• Traveling wave solutions of the Camassa-Holm equation
• Compactons: Solitons with finite wavelength
• On some classes of mKdV periodic solutions
• Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations
• New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations

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