变水深时无穷小振幅长波线性化方程的可解性条件与幂级数解  

Solvable Condition and Series Analytic Solution for the Linearized Equations of Infinitesimal Amplitude with Appreciable Variations

作　　者：张宝善[1] 

机构地区：[1]徐州师范大学数学系

出　　处：《江苏师范大学学报（自然科学版）》1998年第3期3-7,共5页Journal of Jiangsu Normal University：Natural Science Edition

摘　　要：研究深度变化时无穷小振幅长水波线性化方程的可解性及其幂级数解，给出形式幂级数解析解的各阶可解性条件以及幂级数解的可能形式，这里所得到的可解性条件可以认为是借助于Ｇｒｅｅｎ公式的可解性条件的推广．In this paper,the solvability and series analytic solution for the linearized equations of infinitesimal amplitude with appreciable variations are researched.A series of solvable conditions of formula series analytic solution and its probable formula are given here which can be induced with Green’s formula.

关 键 词：无穷小振幅长波 线性化方程 Green公式 可解条件 幂级数解 

分 类 号：O173[理学—数学] O175.2[理学—基础数学]