@Article{CiCP-7-3, author = {}, title = {Novel Multi-Symplectic Integrators for Nonlinear Fourth-Order Schrödinger Equation with Trapped Term}, journal = {Communications in Computational Physics}, year = {2010}, volume = {7}, number = {3}, pages = {613--630}, abstract = {
The multi-symplectic Runge-Kutta (MSRK) methods and multi-symplectic Fourier spectral (MSFS) methods will be employed to solve the fourth-order Schrödinger equations with trapped term. Using the idea of split-step numerical method and the MSRK methods, we devise a new kind of multi-symplectic integrators, which is called split-step multi-symplectic (SSMS) methods. The numerical experiments show that the proposed SSMS methods are more efficient than the conventional multi-symplectic integrators with respect to the the numerical accuracy and conservation perserving properties.
}, issn = {1991-7120}, doi = {https://doi.org/10.4208/cicp.2009.09.057}, url = {https://global-sci.com/article/80997/novel-multi-symplectic-integrators-for-nonlinear-fourth-order-schrodinger-equation-with-trapped-term} }