Dynamical analysis of diversity lump solutions to the (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure equation |
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Authors: | Hongcai Ma Yidan Gao Aiping Deng |
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Affiliation: | Department of Applied Mathematics, Donghua University, Shanghai 201620, China |
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Abstract: | The lump solution is one of the exact solutions of the nonlinear evolution equation. In this paper, we study the lump solution and lump-type solutions of (2+1)-dimensional dissipative Ablowitz–Kaup–Newell–Segure (AKNS) equation by the Hirota bilinear method and test function method. With the help of Maple, we draw three-dimensional plots of the lump solution and lump-type solutions, and by observing the plots, we analyze the dynamic behavior of the (2+1)-dimensional dissipative AKNS equation. We find that the interaction solutions come in a variety of interesting forms. |
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Keywords: | Hirota’s bilinear method,lump solution,lump-type solution,test function,the (2&plus 1)-dimensional dissipative Ablowitz–Kaup-Newell–Segure equation, |
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