Multisoliton solution of a class of coupled soliton equations

DOI10.1016/S0898-1221(01)00107-9zbMath0984.35137OpenAlexW1987740776MaRDI QIDQ5948797

Saad Zagloul Rida, El-Sayed Osman

Publication date: 12 November 2001

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(01)00107-9

zbMATH Keywords

Boussinesq equationbilinear transformation\(N\)-soliton solutionsKorteweg-deVries equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

Cites Work

• Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
• Bilinear transformation method
• Internal structure of the two-soliton solution of the KdV equation
• Solution of an initial-boundary value problem for coupled nonlinear waves
• Note on the Structure of a Three-Soliton Solution of the Korteweg–Devries Equation
• Exact Solution of the Korteweg—de Vries Equation for Multiple Collisions of Solitons
• On the Structure During Interaction of the Two-Soliton Solution of the Korteweg–de Vries Equation
• Soliton interactions (for the Korteweg-deVries equation): a new perspective
• Soliton and antisoliton interactions in the ‘‘good’’ Boussinesq equation
• Bilinear Backlund transformation for the KdV equation with a source
• Exact N-soliton solutions of the wave equation of long waves in shallow-water and in nonlinear lattices
• Unnamed Item

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