TY - JOUR
T1 - Well-posedness of Cauchy Problem for Coupled System of Long-short Wave Equations
AU - Boling Guo  & Changxing Miao 
JO - Journal of Partial Differential Equations
VL - 1
SP - 83
EP - 96
PY - 1998
DA - 1998/11
SN - 11
DO - http://doi.org/
UR - https://global-sci.org/intro/article_detail/jpde/5557.html
KW - Cauchy problem
KW - long-short wave equation
KW - well-posedness
AB -  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.