A reliable treatment of the physical structure for the nonlinear equation \(K(m,n)\)

DOI10.1016/j.amc.2004.06.004zbMath1072.35580OpenAlexW1991536393MaRDI QIDQ1774824

Abdul-Majid Wazwaz

Publication date: 4 May 2005

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

Full work available at URL: https://doi.org/10.1016/j.amc.2004.06.004

zbMATH Keywords

Periodic solutionsSolitonsCompactonsNonlinear dispersionSine-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)

Related Items (15)

On the numerical solution of the Burgers's equation ⋮ The bifurcation and peakon for \(K(2, 2)\) equation with osmosis dispersion ⋮ New exact explicit peakon and smooth periodic wave solutions of the \(K(3,2)\) equation ⋮ Existence of periodic wave of a BBM equation with delayed convection and weak diffusion ⋮ Exact traveling wave solutions of explicit type, implicit type, and parametric type for \(K(m, n)\) equation ⋮ Peakon, cuspon, compacton, and loop solutions of a three-dimensional 3DKP\((3,2)\) equation with nonlinear dispersion ⋮ Single peak solitary wave solutions for the generalized KP-MEW \((2,2)\) equation under boundary condition ⋮ Compact and noncompact structures for nonlinear fractional evolution equations ⋮ 1-soliton solution of the \(K(m,n)\) equation with generalized evolution ⋮ New Miura type transformations between integrable dispersive wave equations ⋮ 1-soliton solution of the \(K(m,n)\) equation with generalized evolution and time-dependent damping and dispersion ⋮ New general solutions for the general elliptic and auxiliary equations and application to the coupled KdV equation ⋮ Travelling wave solutions for a class of nonlinear fourth order variant of a generalized Camassa-Holm equation ⋮ Travelling wave solutions for a class of generalized KdV equation ⋮ Single peak solitary wave solutions for the CH-KP(2,1) equation under boundary condition

Cites Work

• Unnamed Item
• A review of the decomposition method in applied mathematics
• A numerical study of compactons
• Solving frontier problems of physics: the decomposition method
• The effect of the order of nonlinear dispersive equation on the compact and noncompact solutions
• 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
• Patterns on liquid surfaces: Cnoidal waves, compactons and scaling
• A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
• Solutions of compact and noncompact structures for nonlinear Klein-Gordon-type equation
• A construction of compact and noncompact solutions for nonlinear dispersive equations of even order
• Construction of soliton solutions and periodic solutions of the Boussinesq equation by the modified decomposition method
• Compact and noncompact structures in a class of nonlinearly dispersive equations
• 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

This page was built for publication: A reliable treatment of the physical structure for the nonlinear equation \(K(m,n)\)