Lax pair and lump solutions for the (2+1)-dimensional DJKM equation associated with bilinear Backlund transformations

被引：43

作者：

Cheng, Li ^{[1
]}

Zhang, Yi ^{[2
]}

Lin, Mei-Juan ^{[1
]}

机构：

[1] Jinhua Polytech, Normal Sch, Jinhua 321007, Zhejiang, Peoples R China

[2] Zhejiang Normal Univ, Dept Math, Jinhua 321004, Zhejiang, Peoples R China

来源：

ANALYSIS AND MATHEMATICAL PHYSICS | 2019年 / 9卷 / 04期

关键词：

DJKM equation; Backlund transformation; Lax pair; Complexiton; Lump solution; 35Q51; 35Q53; 37K40; COMPLEXITON SOLUTIONS; RATIONAL SOLUTIONS; KINK SOLUTIONS; N-SOLITON; LATTICE; FORM;

D O I：

10.1007/s13324-018-0271-3

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We aim to explore exact solutions and integrable properties to the (2+1)-dimensional DJKM equation. Based on the bilinear Backlund transformation, we first furnish Lax pair and complex exponential wave function solutions, and then give complexitons or hyperbolic function solutions. Moreover, via the nonlinear superposition formula, the construction procedure for presenting rational solutions is improved. The key step is that all the involved parameters are extended to the complex field. In particular, we show that the (2+1)-dimensional DJKM equation possesses a general class of lump solutions when sigma 2=-1.

引用

页码：1741 / 1752

页数：12

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