Exact solutions of four generalized Benjamin-Bona-Mahony equations with any order

DOI10.1016/J.AMC.2012.02.023zbMath1244.35128OpenAlexW1964064557MaRDI QIDQ440757

Xun Liu, Lixin Tian, Yu-Hai Wu

Publication date: 19 August 2012

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

Full work available at URL: https://doi.org/10.1016/j.amc.2012.02.023

zbMATH Keywords

traveling wave solutionsWeierstrass elliptic functionsgeneralized benjamin

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Traveling wave solutions (35C07) Numerical solution of discretized equations for initial value and initial-boundary value problems involving PDEs (65M22)

Related Items (2)

Traveling wave solutions of the Benjamin-Bona-Mahony water wave equations ⋮ Soliton solution and bifurcation analysis of the KP–Benjamin–Bona–Mahoney equation with power law nonlinearity

Cites Work

• Travelling wave solutions of the generalized Benjamin-Bona-Mahony equation
• Exact solution for the generalized telegraph Fisher's equation
• Compactons and kink-like solutions of BBM-like equations by means of factorization
• Exact solutions of the generalized Benjamin-Bona-Mahony equation
• 1-soliton solution of the equation with generalized evolution
• Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation
• 1-soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity
• Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin-Bona-Mahony equation
• An algebraic method with computerized symbolic computation for the one-dimensional generalized BBM equation of any order
• Traveling wave solutions of the BBM-like equations

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