【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Bcklund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Bcklund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。更多还原

【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 Bcklund transformation is one of the important applications of it.Bcklund 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.更多还原