Journal of Engineering Mathematics & Statistics

Authors:- Ramesh Singh Kanojiya

Abstract:- The coupled 1D Zakharov equation is used as the model equation for wave-wave interaction in ionic media in this work. For the model equations, a finite difference technique is developed. A new six-point system is developed that is equal to the multi-symplectic integrator. The numerical simulation for the model equations is also offered.

Keywords:- Multi-symplectic scheme; Zakharov equation, Energy conservation; Six-point scheme.