Pfaffianization of the discrete three-dimensional three wave interaction equation

被引：5
|
作者：
Gegenhasi
Zhao, JX
Hu, XB
Tam, HW
机构：
[1] Acad Sinica, Acad Math & Syst Sci, Inst Computat Math & Sci Engn Comp, Beijing 100080, Peoples R China
[2] Chinese Acad Sci, Grad Sch, Beijing 100049, Peoples R China
[3] Hong Kong Baptist Univ, Dept Comp Sci, Kowloon, Hong Kong, Peoples R China
来源：
LINEAR ALGEBRA AND ITS APPLICATIONS | 2005年 / 407卷
基金：
中国国家自然科学基金;
关键词：
discrete three-dimensional three wave equation; pfaffianization; discrete Gram-type determinant solution; Gram-type pfaffian;
D O I：
10.1016/j.laa.2005.05.012
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of the discrete three-diniensional three wave interaction equation is produced by using Hirota and Ohta's pfaffianization procedure. The Grain-type pfaffian solution to the resulting system is also given. In addition, we obtain the soliton solutions of the resulting system as an example of the Grain-type pfaffian solution. (c) 2005 Elsevier Inc. All rights reserved.
引用
收藏
页码：277 / 295
页数：19
相关论文
共 50 条
  • [21] Discrete baby and three-dimensional skyrmions
    Ioannidou, T.
    Kevrekidis, P. G.
    [J]. THEORETICAL AND MATHEMATICAL PHYSICS, 2009, 160 (01) : 945 - 951
  • [22] Discrete baby and three-dimensional skyrmions
    T. Ioannidou
    P. G. Kevrekidis
    [J]. Theoretical and Mathematical Physics, 2009, 160 : 945 - 951
  • [23] Forced (2+1)-dimensional discrete three-wave equation
    Zhu, Junyi
    Zhou, Sishou
    Qiao, Zhijun
    [J]. COMMUNICATIONS IN THEORETICAL PHYSICS, 2020, 72 (01)
  • [24] Forced(2+1)-dimensional discrete three-wave equation
    Junyi Zhu
    Sishou Zhou
    Zhijun Qiao
    [J]. Communications in Theoretical Physics, 2020, 72 (01) : 37 - 43
  • [25] Sparsity of Runge–Kutta convolution weights for the three-dimensional wave equation
    Lehel Banjai
    Maryna Kachanovska
    [J]. BIT Numerical Mathematics, 2014, 54 : 901 - 936
  • [26] WAVE EQUATION IN THREE-DIMENSIONAL SPACE DRIVEN BY A GENERAL STOCHASTIC MEASURE
    Bodnarchuk, I. M.
    Radchenko, V. M.
    [J]. THEORY OF PROBABILITY AND MATHEMATICAL STATISTICS, 2019, 100 : 43 - 59
  • [27] A discussion on the energy-conserving property of a three-dimensional wave equation
    Chen, CF
    Lee, D
    Hsieh, LW
    Wang, CW
    [J]. JOURNAL OF COMPUTATIONAL ACOUSTICS, 2005, 13 (04) : 603 - 611
  • [28] Generic IllPosedness for Wave Equation of Power Type on Three-Dimensional Torus
    Xia, Bo
    [J]. INTERNATIONAL MATHEMATICS RESEARCH NOTICES, 2021, 2021 (20) : 15533 - 15554
  • [29] Numerical Determination of Pseudobreathers of a Three-Dimensional Spherically Symmetric Wave Equation
    Karkowski, Janusz
    [J]. JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS, 2017, 12 (03):
  • [30] A three-dimensional Laguerre one-way wave equation solver
    Terekhov, Andrew, V
    [J]. APPLIED NUMERICAL MATHEMATICS, 2022, 173 : 380 - 394
12345