@Article{JPDE-11-83, author = {Boling Guo and Changxing Miao }, title = {Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations}, journal = {Journal of Partial Differential Equations}, year = {1998}, volume = {11}, number = {1}, pages = {83--96}, abstract = { In this paper we study the Cauchy problem for a class of coupled equations which describe the resonant interaction between long wave and short wave. The global well-posedness of the problem is established in space H^{\frac{1}{2}+k} × H^k (k ∈ Z^+ ∪ {0}), the first and second components of which correspond to the short and long wave respectively.}, issn = {2079-732X}, doi = {https://doi.org/}, url = {http://global-sci.org/intro/article_detail/jpde/5557.html} }