扩展的（2＋1）维浅水波方程的尖峰孤子解及其相互作用

马松华; 方建平

物理学报

马松华, 方建平. 2012: 扩展的（2＋1）维浅水波方程的尖峰孤子解及其相互作用, 物理学报, 61(18): 76-81.

引用本文:

马松华, 方建平. 2012: 扩展的（2＋1）维浅水波方程的尖峰孤子解及其相互作用, 物理学报, 61(18): 76-81.

2012: Peaked soliton solutions and interaction between solitons for the extended (2+l)-dimensional shallow water wave equation, Acta Physica Sinica, 61(18): 76-81.

Citation:

2012: Peaked soliton solutions and interaction between solitons for the extended (2+l)-dimensional shallow water wave equation, Acta Physica Sinica, 61(18): 76-81.

扩展的（2＋1）维浅水波方程的尖峰孤子解及其相互作用

丽水学院理学院,丽水,323000

Peaked soliton solutions and interaction between solitons for the extended (2+l)-dimensional shallow water wave equation

摘要: 利用改进的Riccad方程映射法和变量分离法，得到了扩展的（2＋1）维浅水波方程的变量分离解（包括孤波解，周期波解和有理函数解）．根据得到的孤波解，构造出了方程的几种不同形状的尖峰孤子结构，研究了孤子的相互作用．
- 改进的映射法 /
- 扩展的(2+1)维浅水波方程 /
- 尖峰孤子 /
- 相互作用
Abstract: By an improved Riccati mapping approach and a variable separation approach, a new family of variable separation solutions (including solitory wave solutions, periodic wave solutions, and rational function solutions) of the extended (2+ 1)-dimensional shallow water wave (SWW) equation is derived. According to the derived solitary wave excitation, we obtain some special peaked soliton structures and study the interaction between solitons.