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math.NA2026
High-order multi-structures-preserving exponential integrators for the derivative nonlinear Schrödinger equation
Liping Wu, Li Yang, Chaolong Jiang
This paper presents a novel class of high-order mass-, energy- and momentum-preserving exponential integrators for solving the derivative nonlinear Schrödinger equation. Firstly,…
math.NA2024
High-order structure-preserving schemes for the regularized logarithmic Schrödinger equation
Fan Yang, Zhida Zhou, Chaolong Jiang
In this paper, a novel high-order, mass and energy-conserving scheme is proposed for the regularized logarithmic Schrödinger equation(RLogSE). Based on the idea of the supplementa…