Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions
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Publication:709384
DOI10.1016/S0010-4655(02)00794-4zbMath1196.35192OpenAlexW1964002756MaRDI QIDQ709384
Publication date: 18 October 2010
Published in: Computer Physics Communications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/s0010-4655(02)00794-4
KdV equations (Korteweg-de Vries equations) (35Q53) Solitary waves for incompressible inviscid fluids (76B25) Soliton equations (35Q51) Solutions to PDEs in closed form (35C05)
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Cites Work
- New families of exact solitary patterns solutions for the nonlinearly dispersive \(R(m,n)\) equa\-tions.
- Compactons dispersive structures for variants of the \(K(n,n)\) and the KP equations
- General compactons solutions and solitary patterns solutions for modified nonlinear dispersive equations \(mK(n,n)\) in higher dimensional spaces
- Abundant Symmetries and Exact Compacton-Like Structures in the Two-Parameter Family of the Estevez–Mansfield–Clarkson Equations
- New Symmetry Reductions, Dromions-Like and Compacton Solutions for a 2D BS ( m,n ) Equations Hierarchy wit
- 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
- Compactons: Solitons with finite wavelength
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