New exact solutions and Bäcklund transformation for Boiti–Leon–Manna–Pempinelli equation

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• 作者：Lin Luo ; ^a ; ^{luolinmath@yahoo.cn}
• 关键词：BLMP equation ; Binary Bell polynomial ; Exact solution ; Bä ; cklund transformation
• 刊名：Physics Letters A
• 出版年：2011
• 出版时间：14 February 2011
• 年：2011
• 卷：375
• 期：7
• 页码：1059-1063
• 全文大小：472 K

文摘

Based on the binary Bell polynomials, the bilinear form for the Boiti–Leon–Manna–Pempinelli equation is obtained. The new exact solutions are presented with an arbitrary function in y, and soliton interaction properties are discussed by the graphical analysis. Further, the bilinear Bäcklund transformation is derived by the binary Bell polynomials, and the corresponding Lax pair is obtained by linearizing the bilinear equation.