Solitary wave solutions for a coupled pair of mKdV equations

DOI10.1016/j.amc.2009.06.047zbMath1203.65153OpenAlexW2090940755MaRDI QIDQ609296

Sumit K. Garg

Publication date: 30 November 2010

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

Full work available at URL: https://doi.org/10.1016/j.amc.2009.06.047

zbMATH Keywords

finite difference methodnumerical examplesmodified Korteweg-de Vries equationsoliton solutionweakly nonlinear long waves

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Finite difference methods for initial value and initial-boundary value problems involving PDEs (65M06) Soliton equations (35Q51)

Related Items (7)

Topological 1-soliton solution of the generalized KdV equation with generalized evolution ⋮ Reprint of ``Nonlinear vector waves of a flexural mode in a chain model of atomic particles ⋮ 1-soliton solution of the generalized KdV equation with generalized evolution ⋮ 1-soliton solution of the coupled KdV equation and Gear-Grimshaw model ⋮ Nonlinear vector waves of a flexural mode in a chain model of atomic particles ⋮ Regularized feature selection in reinforcement learning ⋮ Numerical solution of a coupled modified Korteweg–de Vries equation by the Galerkin method using quadratic B-splines

Cites Work

• Numerical solution of complex modified Korteweg-de Vries equation by collocation method
• Numerical solution of complex modified Korteweg-de Vries equation by Petrov-Galerkin method
• A split-step Fourier method for the complex modified Korteweg-de Vries equation.
• Parametric envelope solitons in coupled Korteweg-de Vries equations
• Complete eigenfunctions of linearized integrable equations expanded around a soliton solution
• Novel soliton states and bifurcation phenomena in nonlinear fiber couplers
• On the generation of solitons and breathers in the modified Korteweg–de Vries equation

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