Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
1703477 | Applied Mathematical Modelling | 2015 | 13 Pages |
Abstract
In this article, we discuss the conservation laws for the nonlinear Schrödinger equation with wave operator under multi-symplectic integrator (MI). First, the conservation laws of the continuous equation are presented and one of them is new. The multi-symplectic structure and MI are constructed for the equation. The discrete conservation laws of the numerical method are analyzed. It is verified that the proposed MI can stably simulate the Hamiltonian PDEs excellently over long-term. It is more accurate than some energy-preserving schemes though they are of the same accuracy. Moreover, the residual of mass is less than energy-preserving schemes under the same mesh partition in a long time.
Keywords
Related Topics
Physical Sciences and Engineering
Engineering
Computational Mechanics
Authors
Lan Wang, Linghua Kong, Liying Zhang, Wenying Zhou, Xiaohong Zheng,