Novel methods for finding general forms of new multi-soliton solutions to (1+1)-dimensional KdV equation and (2+1)-dimensional Kadomtsev-Petviashvili (KP) equation

作者：Kuo, Chun-Ku^*; Lee, Sen-Yung

来源：Waves in Random and Complex Media, 2019, 29(3): 569-579.

DOI：10.1080/17455030.2018.1456703

• SOLITARY WAVE SOLUTIONS
• SIMPLEST EQUATION

In this paper, two novel methods used to solve (1+1) and (2+1)-dimensional completely integrable equations are proposed. The methods are applied to handle the KdV and Kadomtsev-Petviashvili (KP) equations with variable coefficients, and the general forms of new multi-soliton solutions are formally obtained, respectively. In addition, the new multi-soliton solution is suitable to two different type KP equations. Comparing with the Hirota's method, the results show that new methods are straightforward handling the KdV and KP equations without conjecturing the transformation and good in dealing the equations with variable coefficients.

• 出版日期2019-7-3
• 单位中国人民解放军空军电子技术研究所