变系数非线性发展方程的G'/G展开解  

Nonlinear evolution equation with variable coefficient G'/G expansion solution

作　　者：庞晶[1] 靳玲花[1] 赵强[1] 

机构地区：[1]内蒙古工业大学理学院,呼和浩特010051

出　　处：《物理学报》2012年第14期1-5,共5页Acta Physica Sinica

基　　金：国家教育部博士点基金(批准号:20070128001);内蒙古自然科学基金(批准号:2010MS0115);内蒙古工业大学自然科学基金(批准号:ZS201035)资助的课题~~

摘　　要：用近年来提出的(G'/G)展开法首次尝试了对变系数非线性发展方程的求解,并以两类变系数非线性KdV方程为例,且成功得到了新的精确解.实践证明:(G'/G)展开法不仅适用于常系数非线性发展方程,而且还很好地适用于变系数非线性方程,具有广泛的应用前景.In this paper,the（G＇/G）-expansion method is used to solve the two kinds of nonlinear KdV equations with variable coefficients for the first time.And some new exact solutions are obtained successfully.It is proved that the（G＇/G）-expansion method is not only appropriate for solving nonlinear evolution equations with constant coefficients but also excellently applicable to the nonlinear evolution equations with variable coefficients,and it also has a broad application prospect.

关 键 词：(G'/G)展开法 变系数非线性KdV方程 精确解 

分 类 号：O175.29[理学—数学]