Stability of the solitons for the one-dimensional Zakharov-Rubenchik equation

被引：28

作者：

Oliveira, F ^{[1
]}

机构：

[1] Univ Minho, Ctr Matemat, P-4710057 Braga, Portugal

来源：

PHYSICA D-NONLINEAR PHENOMENA | 2003年 / 175卷 / 3-4期

关键词：

Zakharov-Rubenchik equation; Alfven waves; stability of solitary waves;

D O I：

10.1016/S0167-2789(02)00722-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We prove the global well-posedness of the one-dimensional Zakharov-Rubenchik equation iB(t) + omegaB(xx) - k(u - 1/2 upsilonrho + q\B\(2)) B = 0, thetarho(t), + (u - upsilonrho)(x) = -k\B\(2)(x), thetau(t) + (betarho - upsilonu)(x) = 1/2 kupsilon/B/(2)(x) in the space H-2(R) x H-1 (R) x H-1 (R). We also prove the existence and the orbital stability of solitary wave solutions to the above equations. (C) 2002 Elsevier Science B.V. All rights reserved.

引用

页码：220 / 240

页数：21

共 15 条

[1]

BERESTYCKI H, 1983, ARCH RATION MECH AN, V82, P313

[2]

BOLING G, 1998, J PARTIAL DIFF EQS, V11, P83

[3] STABILITY THEORY OF SOLITARY WAVES [J].