Multiple-soliton solutions for the Lax-Kadomtsev-Petviashvili (Lax-KP) equation

摘要

A new completely integrable dispersive equation is derived. The new equation is obtained by extending the Lax fifth-order equation using the sense of the Kadomtsev-Petviashvili (KP) equation in extending the KdV equation. The newly derived Lax-Kadomtsev-Petviashvili (Lax-KP) equation is investigated by using the tanh-coth method and the Hirota bilinear method to derive single soliton solution and N-soliton solutions, respectively. The study highlights the multiple-soliton solutions of the derived completely integrable equation.