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Burgers方程的Backlund变换与多精确解
引用本文:张盛.Burgers方程的Backlund变换与多精确解[J].辽宁工学院学报,2006,26(2):139-140.
作者姓名:张盛
作者单位:渤海大学数学系,辽宁锦州121000
基金项目:辽宁省教育厅自然科学基金(2004C057)
摘    要:齐次平衡法及改进方法在非线性演化方程中有广泛的应用,如推导方程的非线性变换、求精确解以及解决边值问题等.推导方程的Backlund变换是齐次平衡法一个重要应用,利用改进的齐次平衡法推导出Burgers方程的Backlund变换,进而得到Burgers方程的一般形式的精确解与多孤子解,并列出三种特殊情形的孤子解。

关 键 词:齐次平衡法  Backlund变换  多孤子解
文章编号:1005-1090(2006)02-0139-02
收稿时间:2005-04-19
修稿时间:2005年4月19日

Bäcklund Transformation and Multi-exact Solutions of Burgers Equation
ZHANG Sheng.Bäcklund Transformation and Multi-exact Solutions of Burgers Equation[J].Journal of Liaoning Institute of Technology(Natural Science Edition),2006,26(2):139-140.
Authors:ZHANG Sheng
Affiliation:Dept .of Mathematics, Bohai University, Jinzhou 121000,China
Abstract:There are extensive applications of homogeneous balance method and its improved method in nonlinear evolution equations, such as pushing out nonlinear transformation, finding exact solutions, solving boundary value problem, and so on. Pushing out the Baicldund transformation is one of the important applications of it. Backlund transformation of Burgers equation by the improved homogeneous balance method was pushed out, To the above effect, general formal exact solutions, multi-soliton solutions were obtained,with three kinds of special solutions drawn out.
Keywords:homogeneous balance method  Backlund transformation  multi-soliton solutions
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