Compact structures for variants of the generalized KdV and the generalized KP equations.

DOI10.1016/S0096-3003(02)00959-1zbMath1039.35112OpenAlexW2001233926MaRDI QIDQ1427902

Abdul-Majid Wazwaz

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(02)00959-1

zbMATH Keywords

SolitonsCompactonsGeneralized KdV equationGeneralized KP equation

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40)

Related Items (6)

Solutions of Kadomtsev-Petviashvili equation with power law nonlinearity in 1+3 dimensions ⋮ Topological 1-soliton solution of Kadomtsev-Petviashvili equation with power law nonlinearity ⋮ Adomian decomposition method for approximating the solution of the Korteweg-deVries equa\-tion ⋮ An efficient method for analyzing the solutions of the Korteweg-de Vries equation ⋮ Periodic and solitary-wave solutions for a variant of the \(K(3,2)\) equation ⋮ A repository of equations with cosine/sine compactons

Cites Work

• Unnamed Item
• Compact and noncompact dispersive patterns
• A review of the decomposition method in applied mathematics
• A numerical study of compactons
• Solving frontier problems of physics: the decomposition method
• Compactons and solitary patterns structures for variants of the KdV and the KP equations
• Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
• A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
• General compactons solutions for the focusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher-dimensional spaces
• General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher dimensional spaces
• Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
• On nonanalytic solitary waves formed by a nonlinear dispersion.
• The Modified Korteweg-de Vries Equation
• Nonlinear Dispersion and Compact Structures
• Compactons: Solitons with finite wavelength
• A study of nonlinear dispersive equations with solitary-wave solutions having compact support
• Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations
• New solitary-wave special solutions with compact support for the nonlinear dispersive \(K(m,n)\) equations

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