Dispersionless BKP Hierarchy and Quadrant Lowner Equation

被引：10
|
作者：
Takebe, Takashi [1 ]
机构：
[1] Natl Res Univ, Higher Sch Econ, Fac Math, Moscow 117312, Russia
来源：
SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS | 2014年 / 10卷
关键词：
dBKP hierarchy; quadrant Lowner equation; N-variable reduction; INTEGRABLE HIERARCHIES; HODOGRAPH SOLUTIONS; BENNEY EQUATIONS; TAU-FUNCTIONS; KP HIERARCHY; REDUCTIONS; SYSTEMS; LIMIT;
D O I：
10.3842/SIGMA.2014.023
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We show that N-variable reduction of the dispersionless BKP hierarchy is described by a Lowner type equation for the quadrant.
引用
收藏
页数：13
相关论文
共 50 条
  • [1] Dispersionless DKP hierarchy and the elliptic Lowner equation
    Akhmedova, V.
    Zabrodin, A.
    JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2014, 47 (39)
  • [2] Dispersionless Pfaff-Toda hierarchy and elliptic Lowner equation
    Akhmedova, V.
    Zabrodin, A.
    JOURNAL OF MATHEMATICAL PHYSICS, 2016, 57 (09)
  • [3] A note on the dispersionless BKP hierarchy
    Chen, Yu-Tung
    Tu, Ming-Hsien
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (24): : 7641 - 7655
  • [4] Dispersionless version of the constrained Toda hierarchy and symmetric radial Lowner equation
    Takebe, Takashi
    Zabrodin, Anton
    LETTERS IN MATHEMATICAL PHYSICS, 2022, 112 (05)
  • [5] On dispersionless BKP hierarchy and its reductions
    Bogdanov, LV
    Konopelchenko, BG
    JOURNAL OF NONLINEAR MATHEMATICAL PHYSICS, 2005, 12 (Suppl 1) : 64 - 73
  • [6] On Dispersionless BKP Hierarchy and its Reductions
    L V Bogdanov
    B G Konopelchenko
    Journal of Nonlinear Mathematical Physics, 2005, 12 : 64 - 73
  • [7] On kernel formulas and dispersionless Hirota equations of the extended dispersionless BKP hierarchy
    Chen, Yu-Tung
    Tu, Ming-Hsien
    JOURNAL OF MATHEMATICAL PHYSICS, 2006, 47 (10)
  • [8] The constrained dispersionless BKP hierarchy and its additional symmetries
    Tian, Kelei
    Li, Song
    Yi, Ge
    Xu, Ying
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2023, 38 (21):
  • [9] ON THE STRING EQUATION OF THE BKP HIERARCHY
    Shen, Hsin-Fu
    Tu, Ming-Hsien
    INTERNATIONAL JOURNAL OF MODERN PHYSICS A, 2009, 24 (22): : 4193 - 4208
  • [10] Dispersionless Hirota Equations of Two-Component BKP Hierarchy
    Takasaki, Kanehisa
    SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, 2006, 2
12345