Multiple periodic-soliton solutions to Kadomtsev-Petviashvili equation

作者：Wei, Long^*

来源：Applied Mathematics and Computation, 2011, 218(2): 368-375.

DOI：10.1016/j.amc.2011.05.072

• Extended homoclinic test technique
• Hirota's bilinear method
• Periodic-soliton solutions
• Singular periodic-soliton solutions
• Kadomtsev-Petviashvili equation

Based on the extended homoclinic test technique, we introduce two new ansatz functions to construct multiple periodic-soliton solutions of Kadomtsev-Petviashvili (KP) equation by the Hirota's bilinear method. Some entirely new periodic-soliton solutions are obtained. The obtained results show that there exist multiple-periodic solitary waves in the different directions for the KP equation, which differ from complexiton. The employed approach is powerful and can be also applied to solve other nonlinear differential equations.

• 出版日期2011-9-15
• 单位杭州电子科技大学