Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
10139618 | Journal of Computational Physics | 2018 | 21 Pages |
Abstract
Analysis for the general case is performed, showing a monotone decrease in the convex functional throughout the flow. When T is the Laplacian operator, a complete discretized version is presented and anlalyzed. We implement our algorithm on Korteweg and de Vries (KdV) and nonlinear Schrödinger (NLS) equations in one and two dimensions. The proposed approach is very general and can be applied to a large variety of models. Moreover, it is highly robust to noise and to perturbations in the initial conditions, compared to classical Petiashvili-based methods.
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Physical Sciences and Engineering
Computer Science
Computer Science Applications
Authors
Ido Cohen, Guy Gilboa,