We show numerically that the one-dimensional quintic complex Ginzburg-Landau equation admits four different types of stable hole solutions. We present a simple analytic method which permits to calculate the region of existence and approximate shape of stable hole solutions in this equation. The anal
On the existence of nontrivial stable solutions to the Ginzburg-Landau equation
✍ Scribed by Shuichi Jimbo
- Publisher
- Elsevier Science
- Year
- 1997
- Tongue
- English
- Weight
- 389 KB
- Volume
- 30
- Category
- Article
- ISSN
- 0362-546X
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📜 SIMILAR VOLUMES
In this paper we study a complex derivative Ginzburg᎐Landau equation with two Ž . spatial variables 2D . We obtain sufficient conditions for the existence and uniqueness of global solutions for the initial boundary value problem of the derivative 2D Ginzburg᎐Landau equation and improve the known res
This paper is devoted to the Ginzburg Landau equation 28+\*(1& |8| 2 ) 8=0, 8=u 1 +iu 2 in a bounded domain 0/R n with the homogeneous Neumann boundary condition. The previous works [12 14] showed that for large \* there exist stable non-constant solutions with no zeros in domains, which are topolog