Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
Peakon, Cuspon, Compacton, and Loop Solutions of a Three-Dimensional 3DKP(3, 2) Equation with Nonlinear Dispersion
We study peakon, cuspon, compacton, and loop solutions for the three-dimensional Kadomtsev-Petviashvili equation (3DKP<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M2"><mml:mo stretchy="false">(</mml:mo><mml:mn>3,2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>equation) with nonlinear dispersion. Based on the method of dynamical systems, the 3DKP<mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" id="M3"><mml:mo stretchy="false">(</mml:mo><mml:mn>3,2</mml:mn><mml:mo stretchy="false">)</mml:mo></mml:math>equation is shown to have the parametric representations of the solitary wave solutions such as peakon, cuspon, …