A novel method for finding new multi-soliton wave solutions of the completely integrable equations

作者：Kuo, Chun-Ku^*

来源：Optik, 2017, 139: 283-290.

DOI：10.1016/j.ijleo.2017.04.014

• Multi-soliton wave
• Hirota's method
• Gardner
• Whitham-Broer-Kaup

This paper presents a novel simplest equation method (SEM) to construct multi-soliton wave solutions. The paper proceeds step-by-step with increasing detail about derivation process, first illustrating the algorithm of the SEM and then exploiting an even deeper connection between Burgers' equation and multi-soliton solutions and the simplest equation. Comparing with the Hirota's method, our method provides the possibility for constructing multi-soliton solutions of the completely integrable equations with variable coefficients concisely. Applying such a method to the Gardner equation and the Whitham-Broer-Kaup (WBK) shallow water model, new general forms of multi-soliton solutions are obtained.

• 出版日期2017
• 单位中国人民解放军空军电子技术研究所