Bifurcations of Nonlinear Waves in the Generalized KdV–mKdV-Like Equation

DOI10.1142/S0218127421502205zbMath1497.35419OpenAlexW3216307167MaRDI QIDQ5016850

Yi-ren Chen, Wen-Sheng Chen

Publication date: 13 December 2021

Published in: International Journal of Bifurcation and Chaos (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1142/s0218127421502205

zbMATH Keywords

bifurcationgeneralized KdV-mKdV-like equationexplicit periodic wave

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Periodic solutions to PDEs (35B10) Nonlinear higher-order PDEs (35G20) Bifurcations in context of PDEs (35B32) Blow-up in context of PDEs (35B44) Soliton solutions (35C08) Trigonometric solutions to PDEs (35C09)

Cites Work

• Constructing of new exact solutions to the GKdV-mKdV equation with any-order nonlinear terms by \((\frac{G'}{G})\)-expansion method
• Solitary wave solutions and kink wave solutions for a generalized KdV-mKdV equation
• Solitary wave solutions of the MKdV\(^-\) equation
• A sub-ODE method for finding exact solutions of a generalized KdV-mKdV equation with high-order nonlinear terms
• Lie–Bäcklund symmetries of certain nonlinear evolution equations under perturbation around their solutions
• The Korteweg–deVries Equation: A Survey of Results
• BIFURCATIONS OF SOLITARY WAVES AND DOMAIN WALL WAVES FOR KdV-LIKE EQUATION WITH HIGHER ORDER NONLINEARITY
• Bifurcations of Solitary Waves of a Simple Equation
• Bifurcations and Exact Traveling Wave Solutions of the Celebrated Green–Naghdi Equations
• Generation of large-amplitude solitons in the extended Korteweg–de Vries equation

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