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Ground state solution for Schr\"{o}dinger-KdV system with asymptotically periodic potential
Liang Fei-Fei,Wu Xing-Ping *,Tang Chun-Lei *
School of Mathematics and Statistics, Southwest University, Chongqing 400715
*Correspondence author
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Funding: National Natural Science Foundation of China (No.No. 11971393)
Opened online:15 March 2021
Accepted by: none
Citation: Liang Fei-Fei,Wu Xing-Ping,Tang Chun-Lei.Ground state solution for Schr\"{o}dinger-KdV system with asymptotically periodic potential[OL]. [15 March 2021] http://en.paper.edu.cn/en_releasepaper/content/4753986
 
 
In this paper, we study the coupled nonlinear Schr\"{o}dinger-Korteweg-de Vries system with asymptotically periodic potential. By using the variational method and Nehari manifold, we obtain the existence of non-trivial ground state solution in dimensions $N\leq3$.
Keywords:Schr\"{o}dinger-KdV system; Asymptotically periodic potential; Ground state solution; Variational method
 
 
 

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