Accuracy of an approximate variational solution procedure for the nonlinear Schrödinger equation
- 1 September 1989
- journal article
- research article
- Published by American Physical Society (APS) in Physical Review A
- Vol. 40 (5) , 2441-2445
- https://doi.org/10.1103/physreva.40.2441
Abstract
An assessment is made of the accuracy of a direct variational method for obtaining approximate analytical solutions of the nonlinear Schrödinger equation. The method involves trial functions and a Rayleigh-Ritz optimization procedure. The accuracy of the approximation scheme is inferred from the ability of the optimized solution to preserve the invariants of the nonlinear Schrödinger equation.Keywords
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