Multisoliton Solutions of the (2+1)-Dimensional KdV Equation |
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Authors: | ZHANG Jie-Fang HUANG Wen-Hua |
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Affiliation: | 1. Institute of Nonlinear Physics, Zhejiang Normal University, Jinhua 321004, China;2. Department of Physics, Jiangxi Yichun College, Yichun 336000, China |
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Abstract: | Using the extension homogeneous balance method,we have obtained some new special types of soliton solutions of the (2+1)-dimensional KdV equation.Starting from the homogeneous balance method,one can obtain a nonlinear transformation to simple (2+1)-dimensional KdV equation into a linear partial differential equation and two bilinear partial differential equations.Usually,one can obtain only a kind of soliton-like solutions.In this letter,we find further some special types of the multisoliton solutions from the linear and bilinear partial differential equations. |
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Keywords: | multisoliton (2+1)-dimensions KdV equation |
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