Soliton-like, periodic wave and rational solutions for a (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid

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• 作者：Shu-Liang Jia ; Yi-Tian Gao ; ^{gaoyt163@163.com} ; Lei Hu ; Qian-Min Huang ; Wen-Qiang Hu
• 关键词：Rational solutions ; Pffafian solutions ; Periodic wave solutions ; (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation ; Incompressible fluid ; Ansä ; tz method
• 刊名：Superlattices and Microstructures
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：102
• 期：Complete
• 页码：273-283
• 全文大小：1222 K
• 卷排序：102

文摘

Under investigation in this paper is a (3 + 1)-dimensional Boiti-Leon-Manna-Pempinelli equation in the incompressible fluid. The analytic solutions obtained are similar to kink solitons, while, the interaction regions with little peaks are different. The breather-like wave is bright-dark solitary wave. For the rational solutions, asymptotic behaviors show that breather-like wave disappears with evolution of t. Relations between the one-soliton and one-periodic wave solutions are analyzed, which exhibit the asymptotic behaviors of the periodic waves.