Bilinear approach for a symmetry constraint of the modified KdV equation |
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Authors: | Jian-bing Zhang Da-jun ZhangQing Shen |
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Affiliation: | a School of Mathematics Science, Xuzhou Normal University, Xuzhou, Jiangsu 221116, PR China b Department of Mathematics, Shanghai University, Shanghai 200444, PR China |
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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. |
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Keywords: | The mKdV equation Symmetry constraint Bilinear method Wronskian |
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