A NEW CASE OF INTEGRABILITY OF THE GENERAL RICCATI EQUATION AND ITS APPLICATION TO RELAXATION PROBLEMS

被引：14
|
作者：
STRELCHENYA, VM
机构：
[1] Inst. of Machine Sci., Acad. of Sci., Leningrad
来源：
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1991年 / 24卷 / 21期
关键词：
D O I：
10.1088/0305-4470/24/21/010
中图分类号：
O4 [物理学];
学科分类号：
0702 ;
摘要：
A new case of integrability by quadratures of the general Riccati equation is discussed. Some possibilities of its use in molecular physics are demonstrated by the example of vibrational-translational or rotational-translational relaxation of a small amount of diatomic molecules in a structureless gas.
引用
收藏
页码：4965 / 4967
页数：3
相关论文
共 50 条
  • [21] The Integrability of a New Fractional Soliton Hierarchy and Its Application
    Zhu, Xiao-ming
    Zhang, Jian-bing
    ADVANCES IN MATHEMATICAL PHYSICS, 2022, 2022
  • [22] EQUATION OF THE GENERAL CASE OF THE CONTINUAL CONTACT PLANE TRANSMISSION AND ITS APPLICATION.
    Zeng Zhongjian
    Jixie goneheng Xuebao, 1982, 18 (02): : 47 - 57
  • [23] Unified Riccati equation expansion method and its application to two new classes of Benjamin–Bona–Mahony equations
    Nonlinear Dynamics, 2017, 89 : 333 - 344
  • [24] Robust adaptive control based on Riccati equation and its application to DC servomotor
    Matsuo, T
    Matsuzaki, W
    Suemitsu, H
    Nakano, K
    IECON 2000: 26TH ANNUAL CONFERENCE OF THE IEEE INDUSTRIAL ELECTRONICS SOCIETY, VOLS 1-4: 21ST CENTURY TECHNOLOGIES AND INDUSTRIAL OPPORTUNITIES, 2000, : 446 - 451
  • [25] An adaptive control system via a Riccati equation and its application to power systems
    Matsuo, T
    Tsunetsugu, K
    Okada, H
    Ezaki, T
    PROCEEDINGS OF THE 1996 IEEE IECON - 22ND INTERNATIONAL CONFERENCE ON INDUSTRIAL ELECTRONICS, CONTROL, AND INSTRUMENTATION, VOLS 1-3, 1996, : 1933 - 1938
  • [26] A Novel Riccati Equation Grey Model And Its Application In Forecasting Clean Energy
    Luo, Xilin
    Duan, Huiming
    He, Leiyuhang
    ENERGY, 2020, 205
  • [27] Generalized Riccati equation expansion method and its application to the (2+1)-dimensional Boussinesq equation
    Chen, Y
    Li, B
    Zhang, HQ
    INTERNATIONAL JOURNAL OF MODERN PHYSICS C, 2003, 14 (04): : 471 - 482
  • [28] Generalized Riccati equation expansion method and its application to the Bogoyavlenskii's generalized breaking soliton equation
    Chen, Y
    Li, B
    Zhang, HQ
    CHINESE PHYSICS, 2003, 12 (09): : 940 - 945
  • [29] Two new upper bounds of the solution for the continuous algebraic Riccati equation and their application
    XIA YaPing
    CAI ChenXiao
    YIN MingHui
    ZOU Yun
    ScienceChina(InformationSciences), 2015, 58 (05) : 156 - 167
  • [30] Two new upper bounds of the solution for the continuous algebraic Riccati equation and their application
    YaPing Xia
    ChenXiao Cai
    MingHui Yin
    Yun Zou
    Science China Information Sciences, 2015, 58 : 1 - 12
12345