摘要
求出了描述斜平面上沿其向下流动的粘性流体上非线性长波演化的非线性演化方程ut +uux +αuxx +βuxxx +γuxxxx =0的一些显式精确行波解 .这些解包括孤波解、奇异行波解和周期的三角函数型波解 .作为特例 ,给出了Kuramoto Sivashinsky的解 .
Some explicit and exact solutions of the generalized Kuramoto Sivashinsky equation u t+uu x+αu xx +βu xxx +γu xxxx =0 which describes nonlinear surface wave on viscous fluid moving down on inclined plane, are obtained. These solutions include solitary wave solutions, singular travelling wave solutions, and the periodical triangular function wave solutions. As a special case, the solutions of the Kuramoto Sivashinsky equation are given.
出处
《宁夏大学学报（自然科学版）》
CAS
2000年第1期69-71,83,共4页
Journal of Ningxia University(Natural Science Edition)
基金
西安石油学院科研基金资助项目!(99- 0 19)
关键词
显式精确解
广义Kuramoto-Sivashinsky方程
nonlinear evolution equations
direct method
ansatze method
exact solutions
solitary wave solutions
periodic wave solutions
