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Bilinear approach for a symmetry constraint of the modified KdV equation
Authors:Jian-bing Zhang  Da-jun ZhangQing Shen
Institution:a School of Mathematics Science, Xuzhou Normal University, Xuzhou, Jiangsu 221116, PR China
b Department of Mathematics, Shanghai University, Shanghai 200444, PR China
Abstract:The paper investigates the mKdV equation with the potential under symmetry constraint through bilinear approach, i.e., Hirota method and Wronskian technique. We show that the potential can be a summation of squares of wave functions and these wave functions can precisely be described as Wronskians.
Keywords:The mKdV equation  Symmetry constraint  Bilinear method  Wronskian
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