Compact and noncompact solutions for nonlinear dispersive variants of the generalized KdV equation

DOI10.1016/j.amc.2003.08.137zbMath1061.35122OpenAlexW2090923665MaRDI QIDQ702676

Abdul-Majid Wazwaz

Publication date: 17 January 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2003.08.137

zbMATH Keywords

solitonsnonlinear dispersioncompactonsfocusingdefocusing

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

The tanh-coth method for new compactons and solitons solutions for the \(K(n, n)\) and the \(K(n + 1, n + 1)\) equations ⋮ Compact structures in a class of nonlinearly dispersive equations with time-fractional derivatives ⋮ Exact solitary solutions for variants of the KdV equations with fractional time derivatives ⋮ Compacton and solitary pattern solutions for nonlinear dispersive KdV-type equations involving Jumarie's fractional derivative ⋮ Construction of solitary solutions for nonlinear dispersive equations by variational iteration method ⋮ Compact and noncompact structures for nonlinear fractional evolution equations ⋮ Construction of solitary wave solutions for variants of theK(n, n) equation ⋮ Solitary solutions for the nonlinear dispersive \(K(m,n)\) equations with fractional time derivatives ⋮ A repository of equations with cosine/sine compactons ⋮ The tanh method for a reliable treatment of the K(\(n\), \(n\)) and the KP(\(n\), \(n\)) equations and its variants

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