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Variational approximations to the nonlinear Schrödinger equation

✍ Scribed by Fred Cooper; Harvey K. Shepard; L.M. Simmons Jr.


Publisher
Elsevier Science
Year
1991
Tongue
English
Weight
298 KB
Volume
156
Category
Article
ISSN
0375-9601

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Solving the Generalized Nonlinear Schröd
✍ Q. Sheng; A.Q.M. Khaliq; E.A. Al-Said 📂 Article 📅 2001 🏛 Elsevier Science 🌐 English ⚖ 285 KB

This paper is concerned with a new conservative finite difference method for solving the generalized nonlinear Schrödinger (GNLS) equation iu t + u xx + f (|u| 2 )u = 0. The numerical scheme is constructed through the semidiscretization and an application of the quartic spline approximation. Central