Analytic study for fifth-order KdV-type equations with arbitrary power nonlinearities

DOI10.1016/j.cnsns.2005.10.001zbMath1111.35316OpenAlexW2007670804MaRDI QIDQ876076

Abdul-Majid Wazwaz

Publication date: 16 April 2007

Published in: Communications in Nonlinear Science and Numerical Simulation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cnsns.2005.10.001

zbMATH Keywords

solitonscompactonstanh methodsine-cosine method

Mathematics Subject Classification ID

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

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Uses Software

• PDESpecialSolutions

Cites Work

• Unnamed Item
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• Compactons in a class of nonlinear dispersive equations.
• Distinct variants of the KdV equation with compact and noncompact structures.
• Variants of the generalized KdV equation with compact and noncompact structures
• The tanh method for traveling wave solutions of nonlinear equations
• Stabilization of soliton instabilities by higher order dispersion: KdV-type equations.
• Stationary solitons of the fifth order KdV-type. Equations and their stabilization.
• Symbolic computation of exact solutions expressible in hyperbolic and elliptic functions for nonlinear PDEs
• Existence and Nonexistence of Solitary Wave Solutions to Higher-Order Model Evolution Equations
• The tanh method: II. Perturbation technique for conservative systems
• The tanh method: I. Exact solutions of nonlinear evolution and wave equations
• Stability of compacton solutions of fifth-order nonlinear dispersive equations
• Compactons: Solitons with finite wavelength

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