N-soliton solutions and dynamic property analysis of a generalized three-component Hirota-Satsuma coupled KdV equation

作者：Sun, Yong-Li; Ma, Wen-Xiu^*; Yu, Jian-Ping^*

来源：Applied Mathematics Letters, 2021, 120: 107224.

DOI：10.1016/j.aml.2021.107224

• Three-component Hirota-Satsuma coupled KdV equation
• Hirota bilinear operator
• N-soliton solutions
• Dynamic property analysis

In this paper, a generalized three-component Hirota-Satsuma coupled KdV equation describing the interactions of two long waves with different dispersion relations, is investigated. Applying Hirota bilinear operator theory, the bilinear form of the proposed model is first obtained, and then its N-soliton solutions are given in explicit forms. Finally, the analysis of the dynamic property shows that the collisions between two solitons are elastic.

• 单位
  北京化工大学; 西北大学; 北京科技大学; 浙江师范大学