The physical structures of solutions for generalized \(K(n,n)\) and \(BBM\) equations with variable coefficients

DOI10.1016/j.mcm.2010.05.007zbMath1202.35242OpenAlexW2056863429MaRDI QIDQ614307

Shaoyong Lai, Xiumei Lv, Yong-Hong Wu

Publication date: 27 December 2010

Published in: Mathematical and Computer Modelling (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.mcm.2010.05.007

zbMATH Keywords

explicit solutionsnonlinear equationsauxiliary equation methodsymbolic computation system

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Theoretical approximation in context of PDEs (35A35)

Related Items (3)

Traveling wave solutions for nonlinear dispersive water-wave systems with time-dependent coefficients ⋮ A simple approach for reducing the order of equations with higher order nonlinearity ⋮ Time-dependent exact solutions for Rosenau-Hyman equations with variable coefficients

Cites Work

• Two reliable methods for solving variants of the KdV equation with compact and noncompact structures
• Periodic solutions for some strongly nonlinear oscillations by He's variational iteration method
• Explicit bounds for the solutions of second order linear differential equations
• Exact solution of the heat equation with boundary condition of the fourth kind by He's variational iteration method
• New abundant solutions for the Burgers equation
• Periodic solutions of a 2D-autonomous system using Mathematica\(^{\copyright}\)
• On a class of nonlinear dispersive-dissipative interactions
• Different physical structures of solutions for a generalized Boussinesq wave equation
• Error analysis of the numerical solution of split differential equations
• Approximate analytical solution to fractional modified KdV equations
• Evolving gene frequencies in a population with three possible alleles at a locus
• On exact travelling wave solutions for two types of nonlinear \(K(n,n)\) equations and a generalized KP equation
• Nonlinear variants of the BBM equation with compact and noncompact physical structures
• The initial-value problem for the Korteweg-de Vries equation
• Compactons: Solitons with finite wavelength
• Model equations for long waves in nonlinear dispersive systems
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