Doubly Periodic Propagating Wave for (2+1)-Dimensional Breaking Soliton Equation
Doubly Periodic Propagating Wave for (2+1)-Dimensional Breaking Soliton Equation
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DOI：
10.1088/0253-6102/49/2/03
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发表时间：
2008-02
影响因子：
3.1
通讯作者：
Huang Wen-hua;Liu Yu-lu;Zhang Jie-fang
中科院分区：
文献类型：
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作者：
Huang Wen-hua;Liu Yu-lu;Zhang Jie-fang
利用变量分离方法，得到了具有任意变量分离函数的（2+1）维破缺孤子系统的一般精确解。通过在种子解中引入Jacobi椭圆函数，导出了两族双周期传播波形。我们研究了不同模m选择的周期波解，揭示了许多重要和有趣的性质。用图形方法研究了雅可比椭圆函数波的相互作用，发现它们是非弹性的。
Using the variable separation approach, we obtain a general exact solution with arbitrary variable separation functions for the (2+1)-dimensional breaking soliton system. By introducing Jacobi elliptic functions in the seed solution, two families of doubly periodic propagating wave patterns are derived. We investigate these periodic wave solutions with different modulus m selections, many important and interesting properties are revealed. The interaction of Jabcobi elliptic function waves are graphically considered and found to be nonelastic.