New exact solutions to the (2 + 1)-dimensional Ito equation: Extended homoclinic test technique
New exact solutions to the (2 + 1)-dimensional Ito equation: Extended homoclinic test technique
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DOI：
10.1016/j.amc.2009.07.058
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发表时间：
2009-11
期刊：
影响因子：
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通讯作者：
Donglong Li;Junxiao Zhao
中科院分区：
文献类型：
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作者：
Donglong Li;Junxiao Zhao
利用扩展同宿检验的思想和双线性方法研究了（2+1）维Ito方程的精确孤子解.得到了三角函数解、孤子解、双周期波解和周期孤波解等显式解。结果表明，（2+1）维Ito方程具有更丰富的解.此外，还讨论了解的弹性相互作用及其物理意义。
Exact soliton solutions to the (2+1)-dimensional Ito equation are studied based on the idea of extended homoclinic test and bilinear method. Some explicit solutions, such as triangle function solutions, soliton solutions, doubly-periodic wave solutions and periodic solitary wave solutions, are obtained. It shows that the (2+1)-dimensional Ito equation has richer solutions. Besides, the elastic interactions of the solutions and their corresponding physical meaning are discussed.