Exact solutions of the modified Benjamin-Bona-Mahoney (mBBM) equation by using the first integral method

DOI10.1007/s12591-012-0145-3zbMath1307.35076OpenAlexW2046556628WikidataQ115376497 ScholiaQ115376497MaRDI QIDQ354231

Shaolin Li, Yao Long, Ying-Hui He

Publication date: 18 July 2013

Published in: Differential Equations and Dynamical Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12591-012-0145-3

zbMATH Keywords

nonlinear wave equationfirst integralexact wave solutionmBBM equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

Related Items (2)

The first integral method for the time fractional Kaup-Boussinesq system with time dependent coefficient ⋮ Solitary wave solutions to the multidimensional Landau-Lifshitz equation

Cites Work

• The first-integral method applied to the Eckhaus equation
• The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation
• Exact solutions of the nonlinear Schrödinger equation by the first integral method
• Elliptic solutions to a generalized BBM equation
• Exact solutions of some nonlinear systems of partial differential equations by using the first integral method
• A new hyperbolic auxiliary function method and exact solutions of the mBBM equation
• The first integral method for solving some important nonlinear partial differential equations
• Nonlinear variants of the BBM equation with compact and noncompact physical structures
• The first-integral method to study the Burgers–Korteweg–de Vries equation

This page was built for publication: Exact solutions of the modified Benjamin-Bona-Mahoney (mBBM) equation by using the first integral method