Linearized KdV equation on a metric graph

被引：6
|
作者：
Sobirov, Z. A. [1 ,2 ]
Akhmedov, M. I. [2 ]
Karpova, O. V. [3 ,4 ]
Jabbarova, B. [5 ]
机构：
[1] Natl Univ Uzbekistan, Fac Mech & Math, Tashkent 100047, Uzbekistan
[2] Tashkent Financial Inst, Appl Math Dept, Tashkent 100000, Uzbekistan
[3] Natl Univ Uzbekistan, Fac Phys, Tashkent 100047, Uzbekistan
[4] Turin Polytech Univ Tashkent, Tashkent, Italy
[5] Urganch State Univ, Urganch, Uzbekistan
来源：
NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS | 2015年 / 6卷 / 06期
关键词：
KdV; IBVP; PDE on metric graphs; exact solution; third order differential equations;
D O I：
10.17586/2220-8054-2015-6-6-757-761
中图分类号：
TB3 [工程材料学];
学科分类号：
0805 ; 080502 ;
摘要：
We address a linearized KdV equation on metric star graphs with one incoming finite bond and two outgoing semi-infinite bonds. Using the theory of potentials, we reduce the problem to systems of linear integral equations and show that they are uniquely solvable under conditions of the uniqueness theorem.
引用
收藏
页码：757 / 761
页数：5
相关论文
共 50 条
  • [1] Cauchy problem for the linearized KdV equation on general metric star graphs
    Sobirov, Z. A.
    Akhmedov, M. I.
    Uecker, H.
    NANOSYSTEMS-PHYSICS CHEMISTRY MATHEMATICS, 2015, 6 (02): : 198 - 204
  • [2] ON THE LINEARIZED LOG-KDV EQUATION
    Pelinovsky, Dmitry E.
    COMMUNICATIONS IN MATHEMATICAL SCIENCES, 2017, 15 (03) : 863 - 880
  • [3] Numerical solution to a linearized KdV equation on unbounded domain
    Zheng, Chunxiong
    Wen, Xin
    Han, Houde
    NUMERICAL METHODS FOR PARTIAL DIFFERENTIAL EQUATIONS, 2008, 24 (02) : 383 - 399
  • [4] Fourier analysis of the local discontinuous Galerkin method for the linearized KdV equation
    Le Roux, Daniel Y.
    GEM-INTERNATIONAL JOURNAL ON GEOMATHEMATICS, 2022, 13 (01)
  • [5] Fourier analysis of the local discontinuous Galerkin method for the linearized KdV equation
    Daniel Y. Le Roux
    GEM - International Journal on Geomathematics, 2022, 13
  • [6] CAUCHY-PROBLEM FOR THE LINEARIZED VERSION OF THE GENERALIZED POLYNOMIAL KDV EQUATION
    YORDANOV, RG
    JOURNAL OF MATHEMATICAL PHYSICS, 1992, 33 (06) : 2013 - 2022
  • [7] NUMERICAL SOLUTION TO A LINEARIZED TIME FRACTIONAL KDV EQUATION ON UNBOUNDED DOMAINS
    Zhang, Qian
    Zhang, Jiwei
    Jiang, Shidong
    Zhang, Zhimin
    MATHEMATICS OF COMPUTATION, 2018, 87 (310) : 693 - 719
  • [8] Discretization of the Wave Equation on a Metric Graph
    Avdonin, Sergei A.
    Mikhaylov, Alexander S.
    Mikhaylov, Victor S.
    Choque-Rivero, Abdon E.
    MATHEMATICAL METHODS IN THE APPLIED SCIENCES, 2025, 48 (05) : 5708 - 5717
  • [9] Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation
    Martin Bauer
    Martins Bruveris
    Philipp Harms
    Peter W. Michor
    Annals of Global Analysis and Geometry, 2012, 41 : 461 - 472
  • [10] Vanishing geodesic distance for the Riemannian metric with geodesic equation the KdV-equation
    Bauer, Martin
    Bruveris, Martins
    Harms, Philipp
    Michor, Peter W.
    ANNALS OF GLOBAL ANALYSIS AND GEOMETRY, 2012, 41 (04) : 461 - 472
12345