Ground state solution for Schr\"{o}dinger-KdV system with asymptotically periodic potential
首发时间:2021-03-15
Abstract: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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带渐近周期位势的Schr\"{o}dinger-KdV 系统的基态解的存在性
摘要:本文主要研究带渐近周期位势的耦合非线性~Schr\"{o}dinger-Korteweg-de Vries 系统。通过变分法和~Nehari~流形,当~$N\leq3$~时,我们得到了非平凡基态解的存在性。
关键词: Schr\"{o}dinger-KdV 系统 渐近周期 基态解 变分法
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