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Convergence and stability of difference schemes for nonlinear Schrödinger type equations

✍ Scribed by F. Ivanauskas

Publisher
Springer
Year
1992
Tongue
English
Weight
837 KB
Volume
31
Category
Article
ISSN
0363-1672

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On the convergence of a difference schem
On the convergence of a difference scheme for coupled nonlinear Schrödinger equations
✍ 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