Buen planteamiento local para una modificación de la ecuación Korteweg-De Vries

In this work, we prove that the Cauchy problem(ut + ux + uxxx = sin uu(x, 0) = u0(x)is locally well-posed in Sobolev spaces Hs (R) with s > 12 . This equation is a modificationto Korteweg-De Vries equation which has been widely studied for its importance in fluidmechanics.