Consistent Riccati expansion solvability and soliton-cnoidal wave interaction solution of a -dimensional Korteweg-de Vries equation

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• 作者：Junchao Chen ; ^{junchaochen@aliyun.com" class="auth_mail" title="E-mail the corresponding author} ; Zhengyi Ma
• 关键词：Consistent Riccati expansionmethod ; (2+1)(2+1)-dimensional KdV equation ; Interaction solution
• 刊名：Applied Mathematics Letters
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：64
• 期：Complete
• 页码：87-93
• 全文大小：687 K

文摘

In this paper, a si1" class="mathmlsrc">si1.gif&_user=111111111&_pii=S0893965916302518&_rdoc=1&_issn=08939659&md5=a40b90707f8b6b145a4469e72971940f" title="Click to view the MathML source">(2+1)-dimensional KdV equation is investigated by using the consistent Riccati expansion (CRE) method proposed by Lou (2015). It is proved that the si1" class="mathmlsrc">si1.gif&_user=111111111&_pii=S0893965916302518&_rdoc=1&_issn=08939659&md5=a40b90707f8b6b145a4469e72971940f" title="Click to view the MathML source">(2+1)-dimensional KdV equation is CRE solvable. Furthermore, soliton, cnoidal wave and soliton–cnoidal wave interaction solutions are obtained explicitly from different special solutions of the modified Schwarzian equation.