1-soliton solution of Benjamin-Bona-Mahoney equation with dual-power law nonlinearity

DOI10.1016/j.cnsns.2009.10.023zbMath1222.35157OpenAlexW1980440330MaRDI QIDQ720182

Anjan Biswas

Publication date: 13 October 2011

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2009.10.023

zbMATH Keywords

inverse scattering transformsolitonsintegrals of motion

Mathematics Subject Classification ID

PDEs in connection with quantum mechanics (35Q40) Soliton equations (35Q51)

Related Items (21)

All traveling wave exact solutions of two kinds of nonlinear evolution equations ⋮ Traveling wave solutions for nonlinear dispersive water-wave systems with time-dependent coefficients ⋮ New solutions for the generalized BBM equation in terms of Jacobi and Weierstrass elliptic functions ⋮ Exact solutions of the generalized Benjamin-Bona-Mahony equation ⋮ Exact solutions and optical soliton solutions for the nonlinear Schrödinger equation with fourth-order dispersion and cubic-quintic nonlinearity ⋮ Existence of periodic wave of a BBM equation with delayed convection and weak diffusion ⋮ The bifurcation and exact travelling wave solutions for the modified Benjamin-Bona-Mahoney (mBBM) equation ⋮ Exact solutions of four generalized Benjamin-Bona-Mahony equations with any order ⋮ The regularization method for Fredholm integral equations of the first kind ⋮ Symmetry reductions, exact solutions and conservation laws of a new coupled KdV system ⋮ On the solutions and conservation laws of a coupled KdV system ⋮ On the identification of nonlinear terms in the generalized Camassa-Holm equation involving dual-power law nonlinearities ⋮ Solitary and Jacobi elliptic wave solutions of the generalized Benjamin-Bona-Mahony equation ⋮ Soliton perturbation theory for nonlinear wave equations ⋮ The functional variable method to find new exact solutions of the nonlinear evolution equations with dual-power-law nonlinearity ⋮ Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis ⋮ A new approach for numerical solution of modified Korteweg-de Vries equation ⋮ A group theoretic analysis of the generalised Gardner equation with arbitrary order nonlinear terms ⋮ Numerical approximation of modified Kawahara equation using kernel smoothing method ⋮ A new approach for the numerical approximation of modified Korteweg-de Vries equation ⋮ Traveling nonsmooth solution and conserved quantities of long nonlinear internal waves

Cites Work

• Unnamed Item
• The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation
• Adiabatic parameter dynamics of perturbed solitary waves
• 1-soliton solution of the Zakharov-Kuznetsov equation with dual-power law nonlinearity
• Soliton perturbation theory for the generalized Benjamin-Bona-Mahoney equation
• Travelling wave solutions for a class of the generalized Benjamin-Bona-Mahoney equations
• Exact solutions with compact and noncompact structures for the one-dimensional generalized Benjamin-Bona-Mahony equation
• Nonlinear variants of the BBM equation with compact and noncompact physical structures
• Exact solutions of compact and noncompact structures for the KP-BBM equation

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