Asymptotic behavior of the periodic wave solution for the (3+1)-dimensional Kadomtsev-Petviashvili equation

作者：Wu Yong Qi^*

来源：Applied Mathematics and Computation, 2010, 216(11): 3154-3161.

DOI：10.1016/j.amc.2010.04.030

• (3+1)-Dimensional Kadomtsev-Petviashvili equation
• Hirota bilinear method
• Asymptotic behavior
• Periodic wave solution
• Soliton solution

In this paper, the one-and two-periodic wave solutions for the (3+1)-dimensional Kadomtsev-Petviashvili equation are presented by means of the Hirota's bilinear method and the Riemann theta function. The rigorous proofs on asymptotic behaviors of these two solutions are given that soliton solution can be obtained from the periodic wave solution in an appropriate limiting procedure.

• 出版日期2010-8-1
• 单位岭南师范学院