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Multi-linear Variable Separation Approach to Solve a (2+1)-Dimensional Generalization of Nonlinear Schrödinger System |
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| Authors: | SHEN Shou-Feng ZHANG Jun PAN Zu-Liang |
| Institution: | 1. Department of Mathematics, Zhejiang University of Technology, Hangzhou 310014, China ;2. Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
| Abstract: | By using a Bäcklund transformation and the multi-linear variable separation approach, we find a new general solution of a (2+1)-dimensional generalization of the nonlinear Schrödinger system. The new “universal” formula is defined, and then, rich coherent structures can be found by selecting corresponding functions appropriately. |
| Keywords: | variable separation approach (2+1)-dimensional generalization of nonlinear Schrödinger system coherent structure |
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