Nonlinear three-wave equation for a polydisperse gas-liquid mixture

被引：0
|
作者：
V. G. Gasenko
V. E. Nakoryakov
机构：
[1] Siberian Branch of the Russian Academy of Sciences,Institute of Thermophysics
来源：
Journal of Engineering Thermophysics | 2008年 / 17卷
关键词：
wave equation; linear waves; gas-liquid mixture; dispersion equation; solitary waves;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
A new nonlinear three-wave equation of the sixth order for pressure in a polydisperse gas-liquid mixture with bubbles of two sizes is obtained, and its stationary solutions are analyzed. The equation includes two nonlinear quadratic terms of different derivative orders. These terms are of fundamental importance for obtaining good correspondence between the solutions to this equation and the experimentally observed solitary waves in the form of two coupled solitons.
引用
收藏
页码：158 / 165
页数：7
相关论文
共 50 条
  • [21] Controlling chaos in nonlinear three-wave coupling
    Lopes, SR
    Chian, ACL
    PHYSICAL REVIEW E, 1996, 54 (01): : 170 - 174
  • [22] Nonlinear three-wave interaction in photonic crystals
    Tkeshelashvili, L
    Busch, K
    APPLIED PHYSICS B-LASERS AND OPTICS, 2005, 81 (2-3): : 225 - 229
  • [23] Flow of polydisperse gas-particle mixture in a duct followed by coagulation in a nonlinear wave field
    Tukmakov, A. L.
    Bayanov, R. I.
    Tukmakov, D. A.
    THERMOPHYSICS AND AEROMECHANICS, 2015, 22 (03) : 305 - 311
  • [24] Nonlinear constraints and soliton solutions of 1+2-dimensional three-wave equation
    Zhou, ZX
    JOURNAL OF MATHEMATICAL PHYSICS, 1998, 39 (02) : 986 - 997
  • [25] Three-wave mixing in microwave nonlinear metamaterial
    Huang, Da
    Poutrina, Ekaterina
    Rose, Alec
    Larouche, Stephane
    Smith, David R.
    2011 CONFERENCE ON LASERS AND ELECTRO-OPTICS (CLEO), 2011,
  • [26] Flow of polydisperse gas-particle mixture in a duct followed by coagulation in a nonlinear wave field
    A.L. Tukmakov
    R.I. Bayanov
    D.A. Tukmakov
    Thermophysics and Aeromechanics, 2015, 22 : 305 - 311
  • [27] Nonlinear three-wave interaction in photonic crystals
    L. Tkeshelashvili
    K. Busch
    Applied Physics B, 2005, 81 : 225 - 229
  • [28] Three-wave parametric simultons in nonlinear lattices
    Huang, GX
    Hu, BB
    Szeftel, J
    INTERNATIONAL JOURNAL OF MODERN PHYSICS B, 2003, 17 (22-24): : 4215 - 4221
  • [29] Controlling hyperchaos in the nonlinear three-wave coupling
    Chen Hong
    Wang Lu
    Feng XiuQin
    NONLINEAR OPTICS: TECHNOLOGIES AND APPLICATIONS, 2008, 6839
  • [30] Nonlinear and three-wave resonant interactions in magnetohydrodynamics
    Webb, GM
    Zakharian, AR
    Brio, M
    Zank, GP
    JOURNAL OF PLASMA PHYSICS, 2000, 63 : 393 - 445
12345