Symplectic simulation of dark solitons motion for nonlinear Schrödinger equation

Author:

Zhu BeibeiORCID,Tang Yifa,Zhang Ruili,Zhang Yihao

Funder

National Natural Science Foundation of China

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference35 articles.

1. Ablowitz, M.J., Ladik, J.F.: Nonlinear differential-difference equations and fourier analysis. J. Math. Phys. 17(6), 1011–1018 (1976)

2. Abraham, R.E., Marsden, J.E.: Foundations of mechanics. Benjamin-Cummings, Reading (1978)

3. Arnold, V.I.: Mathematical methods of classical mechanics. Springer, New York (1978)

4. Barletti, L., Brugnano, L., Frasca Caccia, G., Iavernaro, F.: Energy-conserving methods for the nonlinear Schrödinger equation. Appl. Math. Comput. 318, 3–18 (2018)

5. Blanes, S., Moan, P.C.: Practical symplectic Runge-Kutta and Runge-Kutta-Nyström methods. J. Comput. Appl. Math. 142, 313–330 (2002)

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