| DYNAMICAL CHARACTER FOR A PERTURBED COUPLED NONLINEAR SCHRDINGER SYSTEM |
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| 引用本文： | 余沛,高平,郭柏灵.DYNAMICAL CHARACTER FOR A PERTURBED COUPLED NONLINEAR SCHRDINGER SYSTEM[J].应用数学和力学(英文版),2005(7). |
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| 作者姓名： | 余沛 高平 郭柏灵 |
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| 作者单位： | School of Computer and Information，Chongqing Jiaotong University，Chongqing 400074，P.R.China，Department of Applied Mathematics，Guangzhou University，Guangzhou 510405，P.R.China，Institute of Applied Physics and Computational Mathematics，P.O.Box 8009，Beijing 100088，P.R.China |
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| 基金项目： | ProjectsupportedbytheNationalNaturalScienceFoundationofChina(No.10471046) |
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| 摘 要： | Introduction WeconsidertheperturbedcouplednonlinearSchr dingerequations(CNLS)iq1t=q1xx 2|q1|2 |q2|2-ω2]q1 iε(^D1q1-r1),iq2t=q2xx 2|q1|2 |q2|2-ω2]q2 iε(^D2q2-r2),(1)whereqjis2πperiodicandeveninx.rjisconstant,^Djisboundeddissipativeoperatorand assumedtotaketheform^Djqj=-αjqj βj^Bqj,(2)αjandβjarepositiveconstants,j=1,2.^BisaFouriertruncationofLaplaceoperator xx,i.e.,^Bcos(kx)=-k2cos(kx),k0isasmallperturbation parameter.Th…
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| 关 键 词： | coupled nonlinear Schrdinger system dynamical character invariant manifold |
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