| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 839847 | Nonlinear Analysis: Theory, Methods & Applications | 2014 | 7 Pages |
Abstract
We prove the existence of nontrivial standing wave solutions of the complex Ginzburg–Landau equation ϕt=eiθΔϕ+eiγ|ϕ|αϕ+kϕϕt=eiθΔϕ+eiγ|ϕ|αϕ+kϕ on a bounded domain with Dirichlet boundary conditions. Our result requires that α>0α>0 be sufficiently small.
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Authors
Thierry Cazenave, Flávio Dickstein, Fred B. Weissler,