Solitary waves in active-dissipative dispersive media

被引:72
作者
Kudryashov, NA
Zargaryan, ED
机构
[1] Department of Applied Mathematics, Moscow Stt. Eng. Physics Institute, Moscow 115409
来源
JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL | 1996年 / 29卷 / 24期
关键词
D O I
10.1088/0305-4470/29/24/029
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
Solitary waves in active-dissipative dispersive media are considered. The exact solutions in the form of solitary waves and kink-shaped waves are presented. The difference equation for numerical simulation of nonlinear waves is given. Numerical results of the interaction of solitary waves are discussed. It is shown that there is a solitary wave in active-dissipative dispersive media that has the soliton property.
引用
收藏
页码:8067 / 8077
页数:11
相关论文
共 50 条
  • [21] Nonlinear waves in stably stratified dissipative media-solitary waves and turbulent bursts
    Zimmerman, William B.
    Velarde, M.G.
    Physica Scripta T, 1994, T55 : 111 - 114
  • [22] BOUND-VECTOR SOLITARY WAVES IN ISOTROPIC NONLINEAR DISPERSIVE MEDIA
    HAELTERMAN, M
    SHEPPARD, AP
    SNYDER, AW
    OPTICS LETTERS, 1993, 18 (17) : 1406 - 1408
  • [23] Few-cycle optical solitary waves in nonlinear dispersive media
    Amiranashvili, Sh.
    Bandelow, U.
    Akhmediev, N.
    PHYSICAL REVIEW A, 2013, 87 (01):
  • [24] PROPAGATION IN DISSIPATIVE OR DISPERSIVE MEDIA
    ADOMIAN, G
    JOURNAL OF COMPUTATIONAL AND APPLIED MATHEMATICS, 1988, 23 (03) : 395 - 396
  • [25] Explicit Synchronized Solitary Waves for Some Models for the Interaction of Long and Short Waves in Dispersive Media
    Brewer, Bruce
    Liu, Chuangye
    Nguyen, Nghiem V.
    WATER WAVES, 2025, : 77 - 115
  • [26] PROPAGATION OF NONLINEAR DISPERSIVE AND DISSIPATIVE WAVES
    BEJDA, J
    ARCHIVES OF MECHANICS, 1977, 29 (03): : 477 - 490
  • [27] MOTIONLESS SOLITARY WAVES IN DISSIPATIVE SYSTEMS
    DEWEL, G
    BORCKMANS, P
    EUROPHYSICS LETTERS, 1992, 17 (6BIS): : 523 - 527
  • [28] Analytical study of dissipative solitary waves
    Dini, Fatemeh
    Emamzadeh, Mehdi Molaie
    Khorasani, Sina
    Bobin, Jean Louis
    Amrollahi, Reza
    Sodagar, Majid
    Khoshnegar, Milad
    PHYSICA SCRIPTA, 2008, 77 (02)
  • [29] Dissipative Solitary Waves in Granular Crystals
    Carretero-Gonzalez, R.
    Khatri, D.
    Porter, Mason A.
    Kevrekidis, P. G.
    Daraio, C.
    PHYSICAL REVIEW LETTERS, 2009, 102 (02)
  • [30] INSTABILITY OF A CLASS OF DISPERSIVE SOLITARY WAVES
    SOUGANIDIS, PE
    STRAUSS, WA
    PROCEEDINGS OF THE ROYAL SOCIETY OF EDINBURGH SECTION A-MATHEMATICS, 1990, 114 : 195 - 212