Exact solutions of the cubic and quintic nonlinear Schrödinger equation for a cylindrical geometry
✍ Scribed by Gagnon, L.; Winternitz, P.
- Book ID
- 117995126
- Publisher
- The American Physical Society
- Year
- 1989
- Tongue
- English
- Weight
- 604 KB
- Volume
- 39
- Category
- Article
- ISSN
- 1050-2947
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📜 SIMILAR VOLUMES
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 the paper, the generalized cubic-quintic nonlinear Schro ¨dinger with variable coefficients is considered and the exact bright and dark quasi-soliton solutions are presented by ansatz method under certain parametric conditions. As an example, we investigate a soliton control system, and the resul