Bcklund Transformation and Multiple Soliton Solutions for (3+1)-Dimensional Potential-YTSF Equation

被引：0

作者：

BAI ChengLin LIU XiQiang ZHAO HongDepartment of Communication EngineeringLiaocheng UniversityLiaocheng ChinaSchool of Mathematical ScienceLiaocheng UniversityLiaocheng China ^{[1
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机构：

来源：

Communications in Theoretical Physics | 2004年 / 42卷 / 12期

关键词：

soliton solutions; extended homogeneous balance method; (3+1)-dimensions; potential-YTSF equation;

D O I：

暂无

中图分类号：

O411.1 [数学物理方法]; O175 [微分方程、积分方程];

学科分类号：

0701 ; 070104 ;

摘要：

<正> We study an approach to constructing multiple soliton solutions of the (3+1)-dimensional nonlinear evolu-tion equation.We take the (3+1)-dimensional potential-YTSF equation as an example.Using the extended homogeneousbalance method,one can find a Backlund transformation to decompose the (3+1)-dimensional potential-YTSF equa-tion into a set of partial differential equations.Starting from these partial differential equations,some multiple solitonsolutions for the (3+1)-dimensional potential-YTSF equation are obtained by introducing a class of formal solutions.

引用

页码：827 / 830

页数：4