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Stability of Solitary Waves for the Nonlinear Derivative Schrodinger Equation
作者姓名:郭柏灵  吴雅萍
作者单位:Beijing Institute of Applied Physics and Computational Mathematics,P. O. Box 8009,Beijing,100088,China,Beijing Institute of Applied Physics and Computational Mathematics,P. O. Box 8009,Beijing,100088,China
基金项目:Research supported by the National Science Foundation of China
摘    要:1 IntroductionConsider tke following nonlinear quintic derlvative Schrodinger equation u_t=iu_(xx)+ig(|u|~2)u+(S_0+S_2|u|~2)u]_x,x∈R (1)with g(|u|~2)=c_3|u|~2+c_5|u|~4 (2)and s_0,s_2,c3,c_5 real constants Problem(1)-(2)appears in various physical applications,such as plasma physics,nonlinear optics,and nonrelativistic quantum physics. For the case s_0=s_w=0,equ.(1)becomes the classical nonlinear Schrodinger e-quation,which has been studied by many authors,especially for the stability ofsolitary waves.In this case(1)can be written in the following abstract Hamil-

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