𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Variable mesh difference schemes for solving a nonlinear Schrödinger equation with a linear damping term

✍ Scribed by S.R.K. Iyengar; G. Jayaraman; V. Balasubramanian

Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
644 KB
Volume
40
Category
Article
ISSN
0898-1221

No coin nor oath required. For personal study only.

✦ Synopsis

This paper describes moving variable mesh finite difference schemes to numerically solve the nonlinear Schr6dinger equation including the effects of damping and nonhomogeneity in the propagation media. These schemes have accurately predicted the location of the peak of the soliton compared to the uniform mesh, for the case in which the exact solution is known. Numerical results are presented when damping and nonhomogeneous effects are included, and in the absence of these effects the results were verified with the available exact solution.

📜 SIMILAR VOLUMES

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