Numerical similarity solution for a variable coefficient \(K(m,n)\) equation

DOI10.1007/S40314-016-0387-8zbMath1395.65114OpenAlexW2533632096MaRDI QIDQ725738

Marios A. Christou, Christodoulos Sophocleous, Nectarios C. Papanicolaou

Publication date: 2 August 2018

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

Full work available at URL: https://doi.org/10.1007/s40314-016-0387-8

zbMATH Keywords

nonlinear differential equationsfinite-difference methodsLie symmetries\(K(m,n)\) equations

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference and finite volume methods for ordinary differential equations (65L12) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

Related Items (1)

Lie group classification for a class of compound KdV-Burgers equations with time-dependent coefficients

Cites Work

• Group classification of variable coefficient \(K (m, n)\) equations
• Exact solutions to a nonlinear dispersive model with variable coefficients
• The method and topological soliton solution of the \(K(m, n)\) equation
• Numerical solutions of boundary value problems for variable coefficient generalized KdV equations using Lie symmetries
• Nonlinear Dispersion and Compact Structures
• Compactons: Solitons with finite wavelength
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