Solitons,chaos and fractals in the (2 + 1)-dimensional dispersive long wave equation |
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| Affiliation: | 1. Department of Applied Mathematics, Northwestern Polytechnical University, Xi’an 710072, PR China;2. NPU-UoG International Cooperative Lab for Computation & Application in Cardiology, Northwestern Polytechnical University, Xi’an 710072, PR China;3. Department of Mechanics, Beijing Institute of Technology, Beijing 100081, PR China |
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| Abstract: | For a higher-dimensional integrable nonlinear dynamical system, there are abundant coherent soliton excitations. With the aid of a projective Riccati equation approach, the paper obtains several types of exact solutions to the (2 + 1)-dimensional dispersive long wave (DLW) equation which include multiple soliton solution, periodic soliton solution and Weierstrass function solution. Subsequently, several multisolitons are derived and some novel features are revealed by introducing lower-dimensional patterns. |
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