Single and multi-peak solutions for a nonlinear Maxwell–Schrödinger system with a general nonlinearity
✍ Scribed by Jinmyoung Seok
- Publisher
- Elsevier Science
- Year
- 2011
- Tongue
- English
- Weight
- 232 KB
- Volume
- 74
- Category
- Article
- ISSN
- 0362-546X
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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 dynamics of dark solitons is studied within the framework of a generalized nonlinear Schrödinger equation. The specific cases of parabolic law and dual-power law nonlinearity are considered. The solitary wave ansatz method is used to carry out the integration. All the physical parameters in the
Via He's semi-inverse method, a variational principle is established for coupled nonlinear Schrödinger equations with variable coefficients and high nonlinearity. The result obtained includes the ones known from the open literature as special cases.