Orbital Stability of Solitary Waves of the Nonlinear Schrodinger-KdV Equation

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Abstract

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.
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Orbital Stability of Solitary Waves of the Nonlinear Schrodinger-KdV Equation. (1999). Journal of Partial Differential Equations, 12(1), 11-25. https://www.global-sci.com/jpde/article/view/3898