Ground State Solution for Schrodinger-KdV System with Periodic Potential

被引：2
|
作者：
Liang, Fei-Fei [1 ]
Wu, Xing-Ping [1 ]
Tang, Chun-Lei [1 ]
机构：
[1] Southwest Univ, Sch Math & Stat, Chongqing 400715, Peoples R China
来源：
QUALITATIVE THEORY OF DYNAMICAL SYSTEMS | 2023年 / 22卷 / 01期
基金：
中国国家自然科学基金;
关键词：
Schrodinger-KdV system; Periodic potential; Ground state solution; Variational method; EXISTENCE;
D O I：
10.1007/s12346-023-00741-y
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
In this paper, we study the coupled nonlinear Schrodinger-Korteweg-de Vries system with periodic potential. By using the variational method and Nehari manifold, we obtain the existence of non-trivial ground state solution.
引用
收藏
页数：12
相关论文
共 50 条
  • [1] Normalized Ground-State Solution for the Schrodinger-KdV System
    Liang, Fei-Fei
    Wu, Xing-Ping
    Tang, Chun-Lei
    MEDITERRANEAN JOURNAL OF MATHEMATICS, 2022, 19 (06)
  • [2] Existence and stability of ground-state solutions of a Schrodinger-KdV system
    Albert, J
    Pava, JA
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 2003, 133 : 987 - 1029
  • [3] Normalized ground state solutions of Schrodinger-KdV system in R3
    Gao, Qian
    Wang, Qun
    Chang, Xiaojun
    ZEITSCHRIFT FUR ANGEWANDTE MATHEMATIK UND PHYSIK, 2024, 75 (06):
  • [4] Ground state solutions for a non-autonomous nonlinear Schrodinger-KdV system
    Bi, Wenjing
    Tang, Chunlei
    FRONTIERS OF MATHEMATICS IN CHINA, 2020, 15 (05) : 851 - 866
  • [5] Ground State Solution for Schrödinger–KdV System with Periodic Potential
    Fei-Fei Liang
    Xing-Ping Wu
    Chun-Lei Tang
    Qualitative Theory of Dynamical Systems, 2023, 22
  • [6] The Cauchy problem for the Schrodinger-KdV system
    Wang, Hua
    Cui, Shangbin
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2011, 250 (09) : 3559 - 3583
  • [7] WKB analysis of the Schrodinger-KdV system
    Lin, Chi-Kun
    Segata, Jun-ichi
    JOURNAL OF DIFFERENTIAL EQUATIONS, 2014, 256 (11) : 3817 - 3834
  • [8] Existence of bound and ground states for a system of coupled nonlinear Schrodinger-KdV equations
    Colorado, Eduardo
    COMPTES RENDUS MATHEMATIQUE, 2015, 353 (06) : 511 - 516
  • [9] ON THE STABILITY OF THE DNOIDAL WAVES FOR THE SCHRODINGER-KDV SYSTEM
    Hakkaev, Sevdzhan
    Stefanov, Atanas g.
    PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 2025, 153 (02) : 715 - 725
  • [10] On the solution of the coupled Schrodinger-KdV equation by the decomposition method
    Kaya, D
    El-Sayed, SM
    PHYSICS LETTERS A, 2003, 313 (1-2) : 82 - 88
12345