In this paper, the generalized nonlinear Schro ¨dinger equation with variable coefficients is studied. First, exact gray one-soliton solution in explicit form is obtained by using the complex amplitude ansatz method. Second, the multisoliton solutions are constructed through suitable mapping and the
Exact spatial soliton solution for nonlinear Schrödinger equation with nonperiodic modulation of nonlinearity and linear refractive index
✍ Scribed by Yan Wang; Ruiyu Hao
- Book ID
- 113831410
- Publisher
- Elsevier Science
- Year
- 2012
- Tongue
- English
- Weight
- 323 KB
- Volume
- 285
- Category
- Article
- ISSN
- 0030-4018
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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 this paper, the generalized nonlinear Schr€ odinger equation with variable coefficients is considered from the integrable point of view, and an exact multi-soliton solution is presented by employing the simple, straightforward Darboux transformation based on the Lax Pair, and then one-and two-sol