REFLECTION COEFFICIENT PROBLEMS FOR WEAKLY NONLINEAR-WAVE EQUATIONS

被引：0

作者：

HU, JS ^{[1
]}

KRUSKAL, M ^{[1
]}

机构：

[1] RUTGERS STATE UNIV,DEPT MATH,NEW BRUNSWICK,NJ 08903

来源：

SIAM JOURNAL ON APPLIED MATHEMATICS | 1992年 / 52卷 / 06期

关键词：

WEAKLY NONLINEAR EQUATIONS; REFLECTION COEFFICIENT; ASYMPTOTICS; BEYOND ALL ORDERS;

D O I：

10.1137/0152091

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper uses the generalized Pokrovskii-Khalatnikov method to calculate the nontrivial behavior of the reflection coefficient for weakly nonlinear wave equations epsilon2(d2y/dx2) + Q(x)y = epsilon2G(x, y, epsilon(dy/dx); epsilon), where G is a certain type of nonlinear function in y and dy/dx.

引用

页码：1584 / 1596

页数：13

共 9 条

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[4] 2
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[6] REFLECTION COEFFICIENT BEYOND ALL ORDERS FOR SINGULAR PROBLEMS .2. CLOSED-SPACED CRITICAL-POINTS ON THE NEAREST CRITICAL-LEVEL LINE
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