Abstract:The existence of the solutions to the initial value problem of a five-time long-short wave resonance equation was focused. First, the existence of the local solution was proved by using the compression mapping theorem. Then, the local solution with energy conservation properties was established and the prior estimation method was used to, It was also proved that the local solution of high-order nonlinear terms in the five-time long-short wave resonance equation can be extended to the whole domain. Finally, the existence of the global solution was testified.