Determinant structure for the -dimensional dispersive long wave system

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• 作者：Juan Hu^a ; Zong-Wei Xu^b ; Guo-Fu Yu^b ; ^{gfyu@sjtu.edu.cn" class="auth_mail" title="E-mail the corresponding author}
• 关键词：(2+1)(2+1)-dimensional dispersive long wave system ; Grammian solution ; Wronskian solution
• 刊名：Applied Mathematics Letters
• 出版年：2016
• 出版时间：December 2016
• 年：2016
• 卷：62
• 期：Complete
• 页码：76-83
• 全文大小：1276 K

文摘

In this letter, we investigate the b45037fdb69e339d8ab405b706b85" title="Click to view the MathML source">(2+1)$(2+1)$-dimensional dispersive long wave system, which describes the hydrodynamics of wide channels with finite depth. By using Sato theory and Hirota’s bilinear method, both the Grammian and Wronskian type determinant solution of the bilinear dispersive long wave system are presented. The Wronskian solution to the classical Boussinesq–Burgers system is obtained via direct dimensional reduction.