PEAKON, PSEUDO-PEAKON, LOOP, AND PERIODIC CUSP WAVE SOLUTIONS OF A THREE-DIMENSIONAL 3DKP(2, 2) EQUATION WITH NONLINEAR DISPERSION

DOI10.11948/2015027zbMath1447.35110OpenAlexW1771956922MaRDI QIDQ5121209

Haixia Zhao, Lijing Qiao, Shengqiang Tang

Publication date: 11 September 2020

Published in: Journal of Applied Analysis & Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.11948/2015027

zbMATH Keywords

bifurcation theory of dynamical systemsthree-dimensional Kadomtsev-Petviashvili equation

Mathematics Subject Classification ID

Soliton equations (35Q51) Initial value problems for nonlinear higher-order PDEs (35G25) Soliton theory, asymptotic behavior of solutions of infinite-dimensional Hamiltonian systems (37K40) Solitary waves in solid mechanics (74J35) Soliton solutions (35C08)

Related Items (1)

SINGULAR PERIODIC WAVES OF AN INTEGRABLE EQUATION FROM SHORT CAPILLARY-GRAVITY WAVES

Cites Work

• Traveling wave solutions for a class of nonlinear dispersive equations
• Compact and noncompact structures of a three-dimensional \(3\text{DKP}(m,n)\) equation with nonlinear dispersion
• Single peak solitary wave solutions for the generalized KP-MEW \((2,2)\) equation under boundary condition
• Dynamical understanding of loop soliton solution for several nonlinear wave equations
• An integrable shallow water equation with peaked solitons
• Peakon, pseudo-peakon, and cuspon solutions for two generalized Camassa-Holm equations
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