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A Generalized Hirota Ansatz to Obtain Soliton-Like Solutions for a (3+1)-Dimensional Nonlinear Evolution Equation |
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| Authors: | WU Jian-Ping |
| Affiliation: | Institute of Electronic Technology, Information Engineering University, Zhengzhou 450004, China |
| Abstract: | Instead of the usual Hirota ansatz, i.e., the functions in bilinear equations being chosen as exponential types, a generalized Hirota ansatz is proposed for a (3+1)-dimensional nonlinear evolution equation. Based on the resulting generalized Hirota ansatz, a family of new explicit solutions for the equation are derived. |
| Keywords: | (3+1)-dimensional nonlinear evolution equation bilinear method generalized Hirota ansatz exponential type functions soliton-like solutions |
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