摘要
广义Kuramoto-Sivashinsky方程描述了火焰燃烧的位置波动,一种流体沿着垂直壁的运动以及—个均匀介质中的空间均匀振荡化学反应.通过应用改进的(G'/G)-展开式法,我们获得了广义Kuramoto-Sivashinsky方程新的双曲函数行波解,并且给出了各参数的限制条件.事实证明,改进的(G'/G)-展开式法对求解数学物理中的非线性偏微分方程是非常实用的.
The generalized Kuramoto-Sivashinsky equation which describes the fluctua- tions of the position of a flame front, the motion of a fluid going down a vertical wall, or a spatially uniform oscillating chemical reaction in a homogeneous medium, is discussed by the extended （G＇/G）-expansion method. By using the extended （G＇/G）-expansion method, new hyperbolic function traveling wave solutions of this equation are presented. The restrictions on the parameters are also identified. It is shown that the extended （Gt/G）-expansion method is a competent and influential tool in solving nonlinear partial differential equations in mathematical physics.
作者
钟建新
刘建国
ZHONG JIANXIN LIU JIANGUO(School of Mathematics and Computer Science, Vichun University, Yichun 336000, China College of Computer, Jiangxi University of Traditional Chinese Medicine, Nanchang 330004, China)
出处
《应用数学学报》
CSCD
北大核心
2017年第1期136-143,共8页
Acta Mathematicae Applicatae Sinica
基金
国家自然科学基金(61562045)
江西省卫生计生委科技计划(20175537)
江西中医药大学科研基金资助项目
