@Article{AAMM-9-964, author = {Qian , XuFu , Hao and Song , Songhe}, title = {Structure-Preserving Wavelet Algorithms for the Nonlinear Dirac Model}, journal = {Advances in Applied Mathematics and Mechanics}, year = {2018}, volume = {9}, number = {4}, pages = {964--989}, abstract = {

The nonlinear Dirac equation is an important model in quantum physics with a set of conservation laws and a multi-symplectic formulation. In this paper, we propose energy-preserving and multi-symplectic wavelet algorithms for this model. Meanwhile, we evidently improve the efficiency of these algorithms in computations via splitting technique and explicit strategy. Numerical experiments are conducted during long-term simulations to show the excellent performances of the proposed algorithms and verify our theoretical analysis.

}, issn = {2075-1354}, doi = {https://doi.org/10.4208/aamm.2016.m1463}, url = {http://global-sci.org/intro/article_detail/aamm/12185.html} }