A new high-order accurate conservative finite difference scheme for the coupled nonlinear Schrodinger equations

被引：3
|
作者：
He, Yuyu [1 ]
Wang, Xiaofeng [1 ]
Dai, Weizhong [2 ]
Deng, Yaqing [1 ]
机构：
[1] Minnan Normal Univ, Sch Math & Stat, Zhangzhou 363000, Fujian, Peoples R China
[2] Louisiana Tech Univ, Coll Engn & Sci, Math & Stat, Ruston, LA 71270 USA
来源：
MATHEMATICAL METHODS IN THE APPLIED SCIENCES | 2021年
关键词：
CNLS equations; conservation; finite difference scheme; high accuracy; MULTI-SYMPLECTIC METHODS; NUMERICAL-SOLUTION; SYSTEM; WAVES;
D O I：
10.1002/mma.7579
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, a fourth-order accurate conservative finite difference scheme for solving the coupled nonlinear Schrodinger (CNLS) equations is proposed. Conservation of the discrete energy and masses, priori estimates, existence and uniqueness of numerical solutions, convergence with second-order in time and fourth-order in space, and stability of the present scheme are proved by the discrete energy method. A convergent iterative method for the present scheme is developed. Numerical experiments are given to support the theoretical analysis.
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页数：21
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