Approximation of the DNLS equation by the cubic nonlinear Schrodinger equation

被引：0
|
作者：
Oliveira, F [1 ]
机构：
[1] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal
来源：
PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS | 2004年 / 134卷
关键词：
D O I：
10.1017/S030821050000336X
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We rigorously approach the Schrodinger equation of derivative type q(t) + iq(xx) + lambda\q\(2) q(x) + muq(2)(q) over bar (x) = 0, lambda epsilon R, mu epsilon C, by the cubic nonlinear Schrodinger equation A(T) + iA(XX) + ik(0) (lambda - mu)\A\(2) A = 0. We also study the case of the KdV-Iike equation q(t) + iq(xx) + aq(xxx) + i\q\(2)q + lambda(\q\(2)q) + (μ) over tilde \q\(2)q(x) = 0, (λ) over bar, (μ) over bar epsilon R, arising in optical physics.
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页码：595 / 607
页数：13
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