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New exact solutions to the (2 + 1)-dimensional Ito equation: Extended homoclinic test technique |
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| Authors: | Dong-Long Li |
| Institution: | a Guangxi University of Technology, Liuzhou 545006, PR China b Institute of Applied Physics and Computational Mathematics, Beijing 100000, PR China c School of Mathematical Sciences, Graduate University of Chinese Academy of Sciences, Beijing 100049, PR China |
| Abstract: | 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. |
| Keywords: | The (2 + 1)-dimensional Ito equation Hirota bilinear method Extended homoclinic test Solitary wave Periodic wave Periodic solitary wave |
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