变系数非线性发展方程的G＇/G展开解

物理学报

变系数非线性发展方程的G＇/G展开解

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庞晶, 靳玲花, 赵强. 2012: 变系数非线性发展方程的G＇/G展开解, 物理学报, 61(14): 1-5.

引用本文:

庞晶, 靳玲花, 赵强. 2012: 变系数非线性发展方程的G＇/G展开解, 物理学报, 61(14): 1-5.

2012: Nonlinear evolution equation with variable coefficient G＇/G expansion solution, Acta Physica Sinica, 61(14): 1-5.

Citation:

2012: Nonlinear evolution equation with variable coefficient G＇/G expansion solution, Acta Physica Sinica, 61(14): 1-5.

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

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.
- (G＇/G)展开法 /
- 变系数非线性KdV方程 /
- 精确解
Abstract: 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.