Bilinear equations and new multi-soliton solution for the modified Camassa-Holm equation

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• 作者：Hengchun Hu^a ; ^d ; ^{hhengchun@163.com" class="auth_mail" title="E-mail the corresponding author} ; Wei Yin^b ; Hongxia Wu^c ; ^d
• 关键词：Modified Camassa&ndash ; Holm equation ; Bilinear equation ; Soliton solution
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：September 2016
• 年：2016
• 卷：59
• 期：Complete
• 页码：18-23
• 全文大小：503 K

文摘

The bilinear equations, which directly derive the modified Camassa–Holm equation, are given from the reduction of the extended KP hierarchy with negative flow. As a byproduct, the general N-soliton solution in the parametric form to the modified Camassa–Holm equation is obtained from the tau functions of the extended KP hierarchy in the form of Gram-type determinant.