Elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation

被引：0
|
作者：
Rudneva, D. S. [1 ,2 ]
Zabrodin, A. V. [2 ]
机构：
[1] Natl Res Univ Higher Sch Econ, Moscow, Russia
[2] Skolkovo Inst Sci & Technol, Moscow, Russia
来源：
THEORETICAL AND MATHEMATICAL PHYSICS | 2020年 / 204卷 / 03期
基金：
俄罗斯科学基金会;
关键词：
BKP equation; elliptic solution; INTEGRABLE SYSTEMS; HIERARCHY;
D O I：
10.1134/S0040577920090093
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
We study elliptic solutions of the semidiscrete B-version of the Kadomtsev-Petviashvili equation and derive the equations of motion of their poles. The auxiliary linear problems for the wave function are the main technical tool.
引用
收藏
页码：1209 / 1215
页数：7
相关论文
共 50 条
  • [31] Solitons and lump waves to the elliptic cylindrical Kadomtsev-Petviashvili equation
    Yang, Xiangyu
    Wang, Zhen
    Zhang, Zhao
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2024, 131
  • [32] SYMMETRIES OF THE KADOMTSEV-PETVIASHVILI EQUATION
    LOU, SY
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 1993, 26 (17): : 4387 - 4394
  • [33] Stochastic Kadomtsev-Petviashvili equation
    Gorodtsov, VA
    JOURNAL OF EXPERIMENTAL AND THEORETICAL PHYSICS, 2000, 90 (06) : 1105 - 1113
  • [34] QUANTIZATION OF THE KADOMTSEV-PETVIASHVILI EQUATION
    Kozlowski, K.
    Sklyanin, E. K.
    Torrielli, A.
    THEORETICAL AND MATHEMATICAL PHYSICS, 2017, 192 (02) : 1162 - 1183
  • [35] Classification of exact solutions to the generalized Kadomtsev-Petviashvili equation
    Pandir, Yusuf
    Gurefe, Yusuf
    Misirli, Emine
    PHYSICA SCRIPTA, 2013, 87 (02)
  • [36] A computational approach to soliton solutions of the Kadomtsev-Petviashvili equation
    Wazwaz, AM
    APPLIED MATHEMATICS AND COMPUTATION, 2001, 123 (02) : 205 - 217
  • [37] EXPLICIT CONSTRUCTION OF SOLUTIONS OF THE MODIFIED KADOMTSEV-PETVIASHVILI EQUATION
    GESZTESY, F
    HOLDEN, H
    SAAB, E
    SIMON, B
    JOURNAL OF FUNCTIONAL ANALYSIS, 1991, 98 (01) : 211 - 228
  • [38] Stochastic Kadomtsev-Petviashvili equation
    V. A. Gorodtsov
    Journal of Experimental and Theoretical Physics, 2000, 90 : 1105 - 1113
  • [39] On the nonisospectral Kadomtsev-Petviashvili equation
    Yu, GF
    Tam, HW
    JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2006, 39 (13): : 3367 - 3373
  • [40] Quasideterminant Solutions of a Noncommutative Nonisospectral Kadomtsev-Petviashvili Equation
    朱晓明
    张大军
    李春霞
    Communications in Theoretical Physics, 2011, 55 (05) : 753 - 759
12345