Integrability of a Partial Case of the Lowner Equation

被引：4
|
作者：
Prokhorov, D., V [1 ]
Zakharov, A. M. [1 ]
机构：
[1] Saratov NG Chernyshevskii State Univ, Chair Math Anal, Saratov, Russia
来源：
IZVESTIYA SARATOVSKOGO UNIVERSITETA NOVAYA SERIYA-MATEMATIKA MEKHANIKA INFORMATIKA | 2010年 / 10卷 / 02期
关键词：
the Lowner equation; integrability; singular solution;
D O I：
10.18500/1816-9791-2010-10-2-19-23
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We give a quadrature solution to the partial case of the Lowner equation for the upper half-plane.
引用
收藏
页码：19 / 23
页数：5
相关论文
共 50 条
  • [31] INTEGRABILITY BY COMPENSATION FOR DIRAC EQUATION
    Da Lio, Francesca
    Riviere, Tristan
    Wettstein, Jerome
    TRANSACTIONS OF THE AMERICAN MATHEMATICAL SOCIETY, 2022, 375 (06) : 4477 - 4511
  • [32] Integrability, partial integrability, and nonintegrability for systems of ordinary differential equations
    Goriely, A
    JOURNAL OF MATHEMATICAL PHYSICS, 1996, 37 (04) : 1871 - 1893
  • [33] On the integrability of a new lattice equation
    Grammaticos, B.
    Ramani, A.
    Scimiterna, C.
    Satsuma, J.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (40)
  • [34] Liouville integrability of the Schrodinger equation
    Vilasi, G
    Allende, VS
    NEW PERSPECTIVES IN THE PHYSICS OF MESOSCOPIC SYSTEMS: QUANTUM-LIKE DESCRIPTIONS AND MACROSCOPIC COHERENCE PHENOMENA, 1997, : 287 - 298
  • [35] On integrability of the geodesic deviation equation
    Marco Cariglia
    Tsuyoshi Houri
    Pavel Krtouš
    David Kubizňák
    The European Physical Journal C, 2018, 78
  • [36] On integrability of the geodesic deviation equation
    Cariglia, Marco
    Houri, Tsuyoshi
    Krtous, Pavel
    Kubiznak, David
    EUROPEAN PHYSICAL JOURNAL C, 2018, 78 (08):
  • [37] ON THE LOWNER, MINUS, AND STAR PARTIAL ORDERINGS OF NONNEGATIVE DEFINITE MATRICES AND THEIR SQUARES
    BAKSALARY, JK
    PUKELSHEIM, F
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1991, 151 : 135 - 141
  • [38] Some Lowner partial orders of Schur complements and Kronecker products of matrices
    Liu, JZ
    LINEAR ALGEBRA AND ITS APPLICATIONS, 1999, 291 (1-3) : 143 - 149
  • [39] A NEW CASE OF INTEGRABILITY OF THE GENERAL RICCATI EQUATION AND ITS APPLICATION TO RELAXATION PROBLEMS
    STRELCHENYA, VM
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1991, 24 (21): : 4965 - 4967
  • [40] Dispersionless version of the constrained Toda hierarchy and symmetric radial Lowner equation
    Takebe, Takashi
    Zabrodin, Anton
    LETTERS IN MATHEMATICAL PHYSICS, 2022, 112 (05)
12345