Convergence of a numerical scheme for a coupled Schrödinger–KdV system
✍ Scribed by Paulo Amorim, Mário Figueira
- Book ID
- 120714320
- Publisher
- Universidad Complutense de Madrid
- Year
- 2012
- Tongue
- Spanish
- Weight
- 637 KB
- Volume
- 26
- Category
- Article
- ISSN
- 1139-1138
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📜 SIMILAR VOLUMES
In this article, a finite difference scheme for coupled nonlinear Schrödinger equations is studied. The existence of the difference solution is proved by Brouwer fixed point theorem. With the aid of the fact that the difference solution satisfies two conservation laws, the finite difference solution
In general, proofs of convergence and stability are difficult for symplectic schemes of nonlinear equations. In this paper, a symplectic difference scheme is proposed for an initialboundary value problem of a coupled nonlinear Schrödinger system. An important lemma and an induction argument are used