Sixth Order Finite Difference Method for Three Coupled Nonlinear Schrödinger Equations

作     者：Khadijah Alamoudi Mohmmad Said Hammoudeh Khadijah Alamoudi;Mohmmad Said Hammoudeh

作者机构：Department of Math King Abdulaziz University Jeddah Saudi Arabia 

出 版 物：《Advances in Pure Mathematics》 (理论数学进展（英文）)

年 卷 期：2021年第11卷第4期

页      面：237-253页

学科分类：07[理学] 0701[理学-数学] 070101[理学-基础数学] 

主　　题：Three Coupled Nonlinear Schrodinger Equations Sixth Order Method Interaction of Two Solitons 

摘      要：In this work, we will derive a numerical method of sixth order in space and second order in time for solving 3-coupled nonlinear Schrödinger equations. The numerical method is unconditionally stable. We use the exact single soliton solution and the conserved quantities to check the accuracy and the efficiency of the proposed schemes. Also, we study the interaction dynamics of two solitons. It is found that both elastic and inelastic collisions can take place under suitable parametric conditions.