Invariant Preserving Schemes for Multi-symplectic Integrator of Two Long Waves’ Interactions

Abstract

AbstractThe concept of discrete conservation of symplecticity to discretization for two long waves’ interactions is presented. This property is endemic and we express that it also leads to exact discrete conservation of momentum and energy for the propagation of two long waves’ interactions. This restricted property is stronger than the global property which that synthesis over all spatial framework points leads to a distinct symplectic scheme in the time route. Multi-symplectic integrators are earned for the propagation of two long waves’ interactions and investigate the conservation properties of multi-symplectic integrators. Numerical simulations are also offered.KeywordsMulti-symplectic integratorsTwo long waves’ interactionsNumerical simulations