Fourth-Order Compact Finite Difference Method for the Schrödinger Equation with Anti-Cubic Nonlinearity

In this paper, we present a compact finite difference method for solving the cubic–quintic Schrödinger equation with an additional anti-cubic nonlinearity. By applying a special treatment to the nonlinear terms, the proposed method preserves both mass and energy through provable conservation propert...

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Bibliographic Details
Main Author: He Yang
Format: Article
Language:English
Published: MDPI AG 2025-06-01
Series:Mathematics
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Online Access:https://www.mdpi.com/2227-7390/13/12/1978
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