Existence and nonlinear stability of solitary wave solutions for coupled Schrodinger-KdV systems
Texas State University, Department of Mathematics
In this article, we consider the existence and nonlinear stability of the solitary wave solutions to the coupled Schrodinger-KdV system. By using the undetermined coefficient method, we construct the exact solitary wave solutions. Furthermore, we prove the nonlinear stability of such solitary wave solutions with respect to small perturbations by applying the classical stability theory developed by Benjamin  and Bona , and the spectral analysis method.
Schrodinger-KdV system, Nonlinear stability, Solitary wave solution
Cui, P., & Ji, S. (2021). Existence and nonlinear stability of solitary wave solutions for coupled Schrodinger-KdV systems. <i>Electronic Journal of Differential Equations, 2021</i>(72), pp. 1-13.