摘要
将非线性波动理论的研究划分为观察和分析、方程建立、初边值问题、解析解和数值解、非线性波动特征以及实际应用等六个大的研究方向 ,详细评述了各个方向的研究情况。提出了多层介质中的非线性波传播等尚未研究的问题 ,发现了用通常方法求取的解析解复杂、不易应用等问题 ,并提出了在定性的基础上省略与已知物理特征不符项的方法来求取解析解等思路。认为介质的非线性、各向异性、多相性应统一研究。
The nonlinear wave is divided into six research parts, which are the observation and analysis of nonlinear phenomena, the establishing of its equation, the solution of equation, the characteristic of nonlinear wave and application. The paper discusses the situation of these parts and find some unsolved problems, for example, the propagation of nonlinear wave in multilayer medium and the analytic solution. Also, the paper offers an idea that uses the physical characteristics of nonlinear wave to omit some items. At last, the paper thinks that nonlinearity, aeolotropy and heterogencity should research together.
出处
《吉林大学学报（地球科学版）》
EI
CAS
CSCD
北大核心
2002年第2期187-192,共6页
Journal of Jilin University：Earth Science Edition
