EXACT SOLITARY WAVE AND PERIODIC WAVE SOLUTIONS OF THE KAUP-KUPERSCHMIDT EQUATION

DOI10.11948/2015039zbMath1463.35434OpenAlexW1834553857MaRDI QIDQ5121204

Chaudry Masood Khalique, Li-jun Zhang

Publication date: 11 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2015039

zbMATH Keywords

traveling wave solutionsJacobi elliptic functiondynamical system methodsubequationthe Kaup-Kuperschmidt equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Bifurcation theory for ordinary differential equations (34C23) Soliton equations (35Q51) Homoclinic and heteroclinic solutions to ordinary differential equations (34C37)

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Uses Software

• Maple

Cites Work

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• The variational iteration method combined with improved generalized tanh-coth method applied to Sawada-Kotera equation
• Symbolic methods to construct exact solutions of nonlinear partial differential equations
• Nonlinear oscillations, dynamical systems, and bifurcations of vector fields
• On soliton solutions of the Kaup-Kupershmidt equation. I: Direct bilinearisation and solitary wave
• On soliton solutions of the Kaup-Kupershmidt equation. II: `Anomalous' \(N\)-soliton solutions
• Different kinds of exact solutions with two-loop character of the two-component short pulse equations of the first kind
• On numerical soliton solution of the Kaup-Kupershmidt equation and convergence analysis of the decomposition method
• A Method for Finding N-Soliton Solutions of the K.d.V. Equation and K.d.V.-Like Equation
• An Extension of Nonlinear Evolution Equations of the K-dV (mK-dV) Type to Higher Orders
• A new hierarchy of Korteweg–de Vries equations
• Higher‐order Painlevé Equations in the Polynomial Class I. Bureau Symbol P2
• BIFURCATIONS OF TRAVELING WAVE SOLUTIONS FOR FOUR CLASSES OF NONLINEAR WAVE EQUATIONS

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