TY - JOUR T1 - Orbital Stability of Solitary Waves of the Nonlinear Schrodinger-KdV Equation JO - Journal of Partial Differential Equations VL - 1 SP - 11 EP - 25 PY - 1999 DA - 1999/12 SN - 12 DO - http://doi.org/ UR - https://global-sci.org/intro/article_detail/jpde/5521.html KW - Solitary wave KW - stability KW - nonlinear Schrödinger-KdV equation AB - This paper concerns the orbital stability of solitary waves of the system of KdV equation coupling with nonlinear Schrödinger equation. By applying the abstract results of Grillakis et al. [1- 2] and detailed spectral analysis, we obtain the stability of the solitary waves.