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Bcklund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Bcklund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。
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.
出处
《辽宁工学院学报》
2006年第2期139-140,共2页
Journal of Liaoning Institute of Technology(Natural Science Edition)
基金
辽宁省教育厅自然科学基金(2004C057)
关键词
齐次平衡法
BACKLUND变换
多孤子解
homogeneous balance method
Backlund transformation
multi-soliton solutions
作者简介
张盛（1975-）,男,辽宁铁岭人,讲师,硕士.
