The Integrability of an Extended Fifth-Order KdV Equation in 2+1 Dimensions: Painleve Property, Lax Pair, Conservation Laws, and Soliton Interactions

被引：3

作者：

Xu, Gui-qiong ^{[1
]}

Deng, Shu-fang ^{[2
]}

机构：

[1] Shanghai Univ, Dept Informat Management, Coll Management, Shanghai 200444, Peoples R China

[2] E China Univ Sci & Technol, Dept Math, Shanghai 200237, Peoples R China

来源：

ZEITSCHRIFT FUR NATURFORSCHUNG SECTION A-A JOURNAL OF PHYSICAL SCIENCES | 2016年 / 71卷 / 06期

基金：

中国国家自然科学基金;

关键词：

Conservation Laws; Integrability Test; Lax Pair; Soliton Solutions; BACKLUND TRANSFORMATION; BELL POLYNOMIALS; WAVE SOLUTIONS; KP; MULTISOLITON; TRUNCATION; SYSTEM;

D O I：

10.1515/zna-2016-0043

中图分类号：

O64 [物理化学（理论化学）、化学物理学];

学科分类号：

070304 ; 081704 ;

摘要：

In this article, we apply the singularity structure analysis to test an extended 2+1-dimensional fifth-order KdV equation for integrability. It is proven that the generalized equation passes the Painleve test for integrability only in three distinct cases. Two of those cases are in agreement with the known results, and a new integrable equation is first given. Then, for the new integrable equation, we employ the Bell polynomial method to construct its bilinear forms, bilinear Backlund transformation, Lax pair, and infinite conversation laws systematically. The N-soliton solutions of this new integrable equation are derived, and the propagations and collisions of multiple solitons are shown by graphs.

引用

页码：501 / 509

页数：9

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