TITLE:
Sixth Order Finite Difference Method for Three Coupled Nonlinear Schrödinger Equations
AUTHORS:
Khadijah Alamoudi, Mohmmad Said Hammoudeh
KEYWORDS:
Three Coupled Nonlinear Schrodinger Equations, Sixth Order Method, Interaction of Two Solitons
JOURNAL NAME:
Advances in Pure Mathematics,
Vol.11 No.4,
April
15,
2021
ABSTRACT: 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.