The well-posedness of stochastic Korteweg-de Vries Benjamin-Ono equation

We prove the well-posedness of Cauchy problem to the stochastic Korteweg-de Vries Benjamin-Ono equation. The noise is additive. By using the Fourier restriction norm method and some basic inequalities, we obtain a local existence and uniqueness result for the solution of this problem. We also get the global existence of L2(R) solution