Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion

DOI10.1016/J.CHAOS.2006.06.031zbMath1136.35084OpenAlexW2081087306MaRDI QIDQ2470577

Fuding Xie, Zhenya Yan

Publication date: 14 February 2008

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

Full work available at URL: https://doi.org/10.1016/j.chaos.2006.06.031

zbMATH Keywords

nonlinear dispersioncompactonsKadomtsev-Petviashvili equationsolitary patterns

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53)

Related Items (4)

Time-stepping in Petrov-Galerkin methods based on cubic B-splines for compactons ⋮ Different wave solutions associated with singular lines on phase plane ⋮ Peakon, cuspon, compacton, and loop solutions of a three-dimensional 3DKP\((3,2)\) equation with nonlinear dispersion ⋮ A repository of equations with cosine/sine compactons

Cites Work

• Unnamed Item
• Modified nonlinearly dispersive \(mK(m,n,k)\) equations: I. New compacton solutions and solitary pattern solutions
• Envelope compact and solitary pattern structures for the \(\text{GNLS}(m,n,p,q)\) equations
• New families of solitons with compact support for Boussinesq-like \(B(m,n)\) equations with fully nonlinear dispersion.
• General solutions with solitary patterns for the defocusing branch of the nonlinear dispersive \(K(n,n)\) equations in higher dimensional spaces
• On nonanalytic solitary waves formed by a nonlinear dispersion.
• New Symmetry Reductions, Dromions-Like and Compacton Solutions for a 2D BS ( m,n ) Equations Hierarchy wit
• Nonlinear Dispersion and Compact Structures
• Compactons: Solitons with finite wavelength

This page was built for publication: Compactons and noncompactons to three-dimensional Kadomtsev-Petviashvili equation with nonlinear dispersion