Analytical and numerical solution of a coupled KdV-MKdV system

DOI10.1016/S0960-0779(03)00085-7zbMath1068.35128arXivmath-ph/0211018MaRDI QIDQ1433827

S. Rajasekar

Publication date: 1 July 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math-ph/0211018

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Transform methods (e.g., integral transforms) applied to PDEs (35A22) Solutions to PDEs in closed form (35C05) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99)

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Cites Work

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• A difference scheme for the coupled KdV equation
• Intertwine operators and elementary Darboux transforms in differential rings and modules
• ON EXPLICIT SOLUTIONS OF A COUPLED KdV-mKdV EQUATION
• Remarks on a system of coupled nonlinear wave equations
• Korteweg-de Vries–modified Korteweg-de Vries systems and Darboux transforms in 1+1 and 2+1 dimensions
• Darboux transforms, deep reductions and solitons
• Multisymplectic geometry and multisymplectic Preissmann scheme for the KdV equation

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