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On convergence of difference schemes for nonlinear Schrödinger equations, the Kuramoto-Tsuzuki equation, and reaction-diffusion type systems

✍ Scribed by F. Ivanauskas


Publisher
Springer
Year
1994
Tongue
English
Weight
739 KB
Volume
34
Category
Article
ISSN
0363-1672

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On the convergence of a difference schem
✍ Zhi-zhong Sun; Dan-dan Zhao 📂 Article 📅 2010 🏛 Elsevier Science 🌐 English ⚖ 394 KB

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