New families of exact solitary patterns solutions for the nonlinearly dispersive \(R(m,n)\) equa\-tions.

DOI10.1016/S0960-0779(02)00204-7zbMath1048.35100OpenAlexW2060390170MaRDI QIDQ1419191

Zhenya Yan

Publication date: 14 January 2004

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0960-0779(02)00204-7

zbMATH Keywords

dispersive equationsingular periodic solutionssolitary patterns

Mathematics Subject Classification ID

Soliton equations (35Q51) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solutions to PDEs in closed form (35C05)

Related Items (10)

New compact and noncompact structures of the nonlinearly dispersive Boussinesq equations ⋮ New solitary wave solutions with compact support and Jacobi elliptic function solutions for the nonlinearly dispersive Boussinesq equations ⋮ Variational approach to solitons of nonlinear dispersive \(K(m, n)\) equations ⋮ Constructing exact solutions for two-dimensional nonlinear dispersion Boussinesq equation. II: Solitary pattern solutions ⋮ New compact and noncompact solutions of the \(K(k,n)\) equations ⋮ Dynamics and bifurcations of travelling wave solutions of \(R(m, n)\) equations ⋮ New compacton and solitary pattern solutions of the nonlinear modified dispersive Klein-Gordon equations ⋮ Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions ⋮ New exact solitary pattern solutions of the nonlinearly dispersive \(R(m, n)\) equations ⋮ A repository of equations with cosine/sine compactons

Cites Work

• Compact and noncompact dispersive patterns
• Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
• On nonanalytic solitary waves formed by a nonlinear dispersion.
• Abundant Symmetries and Exact Compacton-Like Structures in the Two-Parameter Family of the Estevez–Mansfield–Clarkson Equations
• New Soliton Solutions with Compact Support for a Family of Two-Parameter Regularized Long-Wave Boussinesq Equations
• New Similarity Reductions and Compacton Solutions for Boussinesq-Like Equations with Fully Nonlinear Dispersion
• Nonlinear Dispersion and Compact Structures
• Compactons: Solitons with finite wavelength
• On exact solutions of the regularized long-wave equation: A direct approach to partially integrable equations. I. Solitary wave and solitons
• Exact special solutions with solitary patterns for the nonlinear dispersive \(K(m,n)\) equations

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