【摘要】 将求解非线性演化方程的齐次平衡法进行了扩展 ,使其包含一个任意函数 此改进方法可得到耦合KdV Burgers方程、KdV Burgers方程、Boussinesq方程和一般KdV方程等许多非线性演化方程的Backlund变换和新的精确解更多还原

【Abstract】 Homogeneous balance method for solving nonlinear evolution equations is extended to contain an arbitrary function.The auto-Backlund transformations and new exact solutions for most nonlinear evolution equations,such as the compound KdV-Burgers,KdV-Burgers,Boussinesq as well as Generalized-KdV equations,can be obtained in this way.更多还原