Higher-order split-step Fourier schemes for the generalized nonlinear Schrödinger equation

Construction of higher order symplectic integrators

Haruo Yoshida · Physics Letters A · 1990 · 2.3K citations

Natural Sciences, Computer Science, Mathematics +10

Analytical and numerical aspects of certain nonlinear evolution equations. II. Numerical, nonlinear Schrödinger equation

Thiab R. Taha, Mark I Ablowitz · Journal of Computational Physics · 1984 · 663 citations

Natural Sciences, Mathematics, Physics +16

Splitting methods

Robert I. McLachlan, G. Quispel · Acta Numerica · 2002 · 661 citations

Natural Sciences, Mathematics, Differential Equations +12

Split-Step Methods for the Solution of the Nonlinear Schrödinger Equation

J. A. C. Weideman, B. M. Herbst · SIAM Journal on Numerical Analysis · 1986 · 426 citations

Natural Sciences, Physics, Computational Mechanics +15

Difference Schemes for Solving the Generalized Nonlinear Schrödinger Equation

Qianshun Chang, Erhui Jia, Weiwei Sun · Journal of Computational Physics · 1999 · 295 citations

Natural Sciences, Physics, Differential Equations +13