非线性水波的变分原理与反问题  

Variational Principles and Inverse Problems for Nonlinear Water Waves

作　　者：张宝善[1] 

机构地区：[1]徐州师范大学数学系,江苏徐州221116

出　　处：《常德师范学院学报（自然科学版）》2001年第3期1-2,23,共3页Journal of Changde Teachers University

基　　金：the Educational Foundation of Jiangsu Province;the Foundation of Xuzhou Narmal University

摘　　要：利用变分原理推导非线性水波方程以及变分反问题。主要结果是对给定的泛函 ,变分反问题 δH(u)δu =Q(u)具有解簇H(u) =∫(b)∫Q(u)(u) δudx。The derivation to above mention equations by variational principles and the inverse problems were studied. The main result is that the inverse variational problem has a class of solutions for the given functions.

关 键 词：非线性水波 变分原理 变分反问题 解簇 泛函 非线性水波方程 

分 类 号：O415[理学—理论物理] O411.1[理学—物理]