CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRÖDINGER EQUATIONS

Applied Mathematics and Mechanics (English Edition) ›› 2005, Vol. 26 ›› Issue (10): 1357-1362 .

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CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRÖDINGER EQUATIONS

LI Xiao-guang, ZHANG Jian

1. College of Mathematics and Software Science, Sichuan Normal University, Chengdu 610066,　P.R.China;
2. College of Economics, Sichuan Normal University, Chengdu 610066, P.R.China；
3. Software Laboratory, Sichuan Normal University, Chengdu 610066, P.R.China

Received:2003-10-24 Revised:2005-03-20 Online:2005-10-18 Published:2005-10-18
Contact: LI Xiao-guang

Abstract

Abstract: A coupled nonlinear Schrödinger equations is considered in 2-D space.Based upon the conservation of mass and energy, local identities is established by the study of the limit behavior of the solutions, and L²-concentration for the blow-up solutions with radially symmetry is obtained.

Key words: nonlinear Schrö, L²-concentration, dinger equation, global existence, blow up, blow-up point

2010 MSC Number:

LI Xiao-guang;ZHANG Jian. CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRÖDINGER EQUATIONS. Applied Mathematics and Mechanics (English Edition), 2005, 26(10): 1357-1362 .

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CONCENTRATION OF COUPLED CUBIC NONLINEAR SCHRÖDINGER EQUATIONS

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