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Multisoliton Solutions of the (2 1)-Dimensional KdV Equation
Authors:ZHANG Jie-Fang HUANG Wen-Hua
Institution:Institute of Nonlinear Physics,Zhejiang Normal University,Jinhua 321004,China Institute of Nonlinear Physics,Zhejiang Normal University,Jinhua 321004,China;Department of Physics,Jiangxi Yichun College,Yichun 336000,China
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.``
Keywords:multisoliton  (2 1)-dimensions  KdV equation
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