On localized solutions of discrete nonlinear Schrödinger equation: An exact result
✍ Scribed by P. Pacciani; V.V. Konotop; G. Perla Menzala
- Publisher
- Elsevier Science
- Year
- 2005
- Tongue
- English
- Weight
- 132 KB
- Volume
- 204
- Category
- Article
- ISSN
- 0167-2789
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📜 SIMILAR VOLUMES
We consider localized modes (discrete breathers) of the discrete nonlinear Schrödinger equation i( We study the diversity of the steady-state solutions of the form ψ n (t) = e iωt v n and the intervals of the frequency, ω, of their existence. The base for the analysis is provided by the anticontinu
method a b s t r a c t Although, many exact solutions were obtained for the cubic Schrödinger equation by many researchers, we obtained in this research not only more exact solutions but also new types of exact solutions in terms of Jacobi-elliptic functions and Weierstrass-elliptic function.
In this work, we apply He's frequency formulation to search for the solution to nonlinear Schrödinger equation. Three examples are given and the solutions obtained are in good accordance with Wazwaz's solution [Abdul-Majid Wazwaz, A study on linear and nonlinear Schrodinger equations by the variatio