量子电子学报, 2015, 32 (4): 419, 网络出版: 2015-11-30
广义变系数Kuramoto-Sivashinsky方程的显式解
Explicit solutions of generalized Kuramoto-Sivashinsky equation with variable coefficients
非线性方程 广义变系数Kuramoto-Sivashinsky方程 改进的CK方法 对称约化 精确解 nonlinear equation generalized Kuramoto-Sivashinsky equation with var modified CK’s direct method symmetry and reduction exact solutions
摘要
应用修正的CK直接约化方法,得到了广义变系数Kuramoto-Sivashinsky方程与 其对应的常系数方程 解之间的关系,利用李群方法得到了常系数Kuramoto-Sivashinsky方程的一些显式解,从而获得了广义变系 数Kuramoto-Sivashinsky方程的新解。
Abstract
By using the improved CK’s method, the relation between the generalized Kuramoto-Sivashinsky equation with variable coefficient and the corresponding coefficient was obtained. Some new exact solutions of the corresponding constant coefficient equation were obtained by applying the Lie group method, and then achieved the explicit solutions of the generalized Kuramoto-Sivashinsky equation with variable coefficients.
李康, 刘希强. 广义变系数Kuramoto-Sivashinsky方程的显式解[J]. 量子电子学报, 2015, 32(4): 419. LI Kang, LIU Xiqiang. Explicit solutions of generalized Kuramoto-Sivashinsky equation with variable coefficients[J]. Chinese Journal of Quantum Electronics, 2015, 32(4): 419.