Bl. Guo et al., GLOBAL FLOW GENERATED BY COUPLED SYSTEM OF SCHRODINGER-BBM EQUATIONS, Science in China. Series A, Mathematics, Physics, Astronomy & Technological Sciences, 41(2), 1998, pp. 131-138
The Cauchy problem for Schrodinger-BBM type coupled equations is studi
ed, which approximately describes the nonlinear dynamics of one-dimens
ional Langmuir and ion-acoustic waves. Global well-posedness of the pr
oblem is proved in space L-2 x L-2 and H-1 x H-1 under suitable condit
ions.