Parametric cubic spline method for the solution of the nonlinear Schrödinger equation
✍ Scribed by Bin Lin
- Book ID
- 119222357
- Publisher
- Elsevier Science
- Year
- 2013
- Tongue
- English
- Weight
- 622 KB
- Volume
- 184
- Category
- Article
- ISSN
- 0010-4655
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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, we show that the spatial discretization of the nonlinear SchrSdinger equation leads to a Hamiltonian system, which can be simulated with symplectic numerical schemes. In particular, we apply two symplectic integrators to the nonlinear SchrSdinger equation, and we demonstrate that the