摘要
本文通过直接代数方法与假设方法的一种结合求出了一个用于描述由冷离子和热电子组成的等离子体弱非线性离子声波演化的非线性色散-耗散方程的几类显式精确行波解.这里的结果包含已有文献的结果作为特例.
Some classes of explicit and exact travelling wave solutions of a nonlinear
dispersive disspative equation,which describes weak nonlinear ion acoustic waves in a plasma
consisting of cold ions and warm electrons,are obtained by a kind of combination of the direct
algebraic method and the ansatze method.Some results of other papers can be regard as a
special case.The method in this paper can also be applied to the higher dimensional nonlinear
evolution equations.
出处
《高校应用数学学报(A辑)》
CSCD
北大核心
1999年第3期280-284,共5页
Applied Mathematics A Journal of Chinese Universities(Ser.A)
关键词
非线性精确
精确解
色散-耗散方程
显式精确解
Nonlinear Equations, Exact Solutions, Direct Algebraic
Method, Ansatze Method.