Exact solutions in nonlinearly coupled cubic-quintic complex Ginzburg-Landau equations

被引:10
作者
Yomba, Emmanuel [1 ]
Zakeri, Gholam-Ali
机构
[1] Calif State Univ Northridge, Dept Math, Northridge, CA 91330 USA
关键词
Nonlinear coupled cubic-quintic complex; Ginzburg-Landau equations; Bright-bright; dark-dark; front-front waves; Dissipative solitons; Stability; WEAKLY INVERTED BIFURCATION; 2-COMPONENT ACTIVE SYSTEMS; LOCALIZED SOLUTIONS; SUBCRITICAL INSTABILITIES; MODULATIONAL INSTABILITY; NONEQUILIBRIUM SYSTEMS; SCHRODINGER-EQUATION; DISSIPATIVE SYSTEMS; SOLITARY WAVES; SOLITONS;
D O I
10.1016/j.physleta.2012.11.041
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Exact analytical solutions for pulse propagation in a nonlinear coupled cubic-quintic complex Ginzburg-Landau equations are obtained. Three families of solitary waves which describe the evolutions of progressive bright-bright, front-front, dark-dark and other families of solitary waves are investigated. These exact solutions are analyzed both for competition of loss or gain due to nonlinearity and linearity of the system. The stability of the solitary waves is examined using analytical and numerical methods. The results reveal that the solitary waves obtained here can propagate in a stable way under slight perturbation of white noise and the disturbance of parameters of the system. (c) 2012 Elsevier B.V. All rights reserved.
引用
收藏
页码:148 / 157
页数:10
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