Classification of traveling wave solutions to the Vakhnenko equations

DOI10.1016/j.camwa.2011.09.060zbMath1236.35145OpenAlexW1983158745MaRDI QIDQ2429042

Yan-Jun Cheng

Publication date: 22 April 2012

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

Full work available at URL: https://doi.org/10.1016/j.camwa.2011.09.060

zbMATH Keywords

traveling wave solutioncomplete discrimination system for polynomialVakhnenko equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Nonlinear ordinary differential equations and systems (34A34) Traveling wave solutions (35C07)

Related Items (8)

The classification and representation of single traveling wave solutions to the generalized Fornberg-Whitham equation ⋮ Classification of exact solutions for some nonlinear partial differential equations with generalized evolution ⋮ The construction of solutions to Zakharov-Kuznetsov equation with fractional power nonlinear terms ⋮ On the solutions of the space and time fractional Benjamin-Bona-Mahony equation ⋮ The extended trial equation method for some time fractional differential equations ⋮ The modified trial equation method for fractional wave equation and time fractional generalized Burgers equation ⋮ Classification of exact solutions for generalized form of \(K(m,n)\) equation ⋮ New exact solutions of the Davey-Stewartson equation with power-law nonlinearity

Cites Work

• Unnamed Item
• Applications of complete discrimination system for polynomial for classifications of traveling wave solutions to nonlinear differential equations
• Solving the one-loop soliton solution of the Vakhnenko equation by means of the homotopy analysis method
• Single and multi-solitary wave solutions to a class of nonlinear evolution equations
• Classification of All Single Travelling Wave Solutions to Calogero–Degasperis–Focas Equation
• Solitons in a nonlinear model medium
• The stability of solutions of Vakhnenko's equation
• Representations and Classification of Traveling Wave Solutions to sinh-Gördon Equation
• Obituary

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