Hopf bifurcations of traveling wave solutions for time-dependent Ginzburg-Landau equation for atomic Fermi gases near the BCS-BEC crossover

被引：2

作者：

Guan Jinlan ^{[1
,2
]}

Fang Shaomei ^{[1
]}

Wang Xia ^{[1
]}

Guo Changhong ^{[1
]}

机构：

[1] S China Agr Univ, Coll Sci, Guangzhou 510642, Guangdong, Peoples R China

[2] Guangdong Agr Ind Business Coll, Basic Courses Dept, Guangzhou 510507, Guangdong, Peoples R China

来源：

COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION | 2013年 / 18卷 / 01期

关键词：

TDGL equation; Hopf bifurction; Periodic traveling wave solutions; Phase diagram;

D O I：

10.1016/j.cnsns.2012.05.008

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

This paper studied the traveling wave solutions for the time-dependent Ginzburg-Landau equation for atomic Fermi gases near the BCS-BEC crossover, and proposed the parameter conditions that appear the Hopf bifurcations when g = 0 and g not equal 0. Under these parameter conditions, by numerical simulations, we gained the diagram of the periodic traveling wave solutions and their phase diagram, and we can know the velocity's range that appear Hopf bifurcation is 1.97 <= e <= 9.31. (c) 2012 Elsevier B.V. All rights reserved.

引用

页码：124 / 135

页数：12

共 25 条

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