Compact and noncompact structures for a variant of KdV equation in higher dimensions

DOI10.1016/S0096-3003(01)00173-4zbMath1031.35128OpenAlexW2013119183MaRDI QIDQ1855816

Abdul-Majid Wazwaz

Publication date: 28 January 2003

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

Full work available at URL: https://doi.org/10.1016/s0096-3003(01)00173-4

zbMATH Keywords

KdV equationcompactonscuspsdefocusing branchesfocusing branches

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 (7)

Integral approach to compacton solutions of Boussinesq-like \(B\)(\(m\),\(n\)) equation with fully nonlinear dispersion ⋮ New exact travelling wave solutions for the \(K(2,2)\) equation with osmosis dispersion ⋮ Soliton solution of the osmosis \(K(2,2)\) equation ⋮ Existence and construction of compacton solutions ⋮ Soliton, kink and antikink solutions of a 2-component of the Degasperis-Procesi equation ⋮ Bifurcations of travelling wave solutions for the \(mK(n, n)\) equation ⋮ Soliton and periodic wave solutions to the osmosis \(K(2,2)\) equation

Cites Work

• 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 dispersive structures for variants of the \(K(n,n)\) and the KP equations
• Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
• 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.
• 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
• Unnamed Item

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