New Periodic Solitary-Wave Solutions to the (3+1)-Dimensional Kadomtsev-Petviashvili Equation

Mathematical and Computational Applications

Li, Zitian¹ 

关键词: Extended homoclinic test;    Doubly periodic;    Soliton;    Periodic solitary wave;   

DOI  :  10.3390/mca15050877

学科分类：计算数学

来源: mdpi

【 摘 要 】

By the extended homoclinic test technique, explicit solutions of the (3+1)-dimensional Kadomtsev-Petviashvili(KP) equation are obtained. These solutions include doubly periodic wave solutions, doubly soliton solutions and periodic solitary-wave solutions. It is shown that the extended homoclinic test technique is a straightforward and powerful mathematical tool for solving nonlinear evolution equation.

【 授权许可】

CC BY