Global solutions and stable ground states of nonlinear Schrödinger equations
✍ Scribed by Joachim Stubbe
- Publisher
- Elsevier Science
- Year
- 1991
- Tongue
- English
- Weight
- 670 KB
- Volume
- 48
- Category
- Article
- ISSN
- 0167-2789
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📜 SIMILAR VOLUMES
In this paper we consider the following Schrödinger equation: where V is a periodic continuous real function with 0 in a gap of the spectrum σ (A), A := -∆ + V and the classical Ambrosetti-Rabinowitz superlinear condition on g is replaced by a general super-quadratic condition.
The problem of the existence of stable solitary wave solutions for nonlinear Schrödinger-type equations with a generalized cubic nonlinearity is considered. These types of equations have recently arisen in the context of optical communications as averaging approximations to nonlinear dispersive equa