带渐近周期位势的Schr\"{o}dinger-KdV 系统的基态解的存在性
Ground state solution for Schr\"{o}dinger-KdV system with asymptotically periodic potential
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。
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 $N\leq3$.
吴行平、梁菲菲、唐春雷
数学物理学
Schr\"{o}dinger-KdV 系统渐近周期基态解变分法
Schr\"{o}dinger-KdV systemAsymptotically periodic potentialGround state solutionVariational method
吴行平,梁菲菲,唐春雷.带渐近周期位势的Schr\"{o}dinger-KdV 系统的基态解的存在性[EB/OL].(2021-03-15)[2025-08-02].http://www.paper.edu.cn/releasepaper/content/202103-140.点此复制
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