On exact solutions of modified complex Ginzburg-Landau equation

被引：19
|
作者：
Yomba, E [1 ]
Kofané, TC [1 ]
机构：
[1] Univ Yaounde I, Fac Sci, Lab Mecan, Yaounde, Cameroon
来源：
PHYSICA D-NONLINEAR PHENOMENA | 1999年 / 125卷 / 1-2期
关键词：
D O I：
10.1016/S0167-2789(98)00152-3
中图分类号：
O29 [应用数学];
学科分类号：
070104 ;
摘要：
The one-dimensional modified complex Ginzburg-Landau equation has been studied by the use of the Conte and Musette method. This method permits us to derive all the known exact solutions in a unified natural scheme. These solutions are expressed in terms of solitary wave, periodic unbounded wave, and shock type wave. We also find previously unknown exact propagating hole. The degeneracies of modified complex Ginzburg-Landau equation have also been examined as well as several of their solutions. (C) 1999 Elsevier Science B.V.
引用
收藏
页码：105 / 122
页数：18
相关论文
共 50 条
  • [41] Lq solutions to the Ginzburg-Landau equation
    Gutiérrez, S
    [J]. FIFTH INTERNATIONAL CONFERENCE ON MATHEMATICAL AND NUMERICAL ASPECTS OF WAVE PROPAGATION, 2000, : 307 - 309
  • [42] EXACT LYAPUNOV DIMENSION OF THE UNIVERSAL ATTRACTOR FOR THE COMPLEX GINZBURG-LANDAU EQUATION
    DOERING, CR
    GIBBON, JD
    HOLM, DD
    NICOLAENKO, B
    [J]. PHYSICAL REVIEW LETTERS, 1987, 59 (26) : 2911 - 2914
  • [43] The diversity of steady state solutions of the complex Ginzburg-Landau equation
    Bazhenov, M
    Bohr, T
    Gorshkov, K
    Rabinovich, M
    [J]. PHYSICS LETTERS A, 1996, 217 (2-3) : 104 - 110
  • [44] Numerical continuation of invariant solutions of the complex Ginzburg-Landau equation
    Lopez, Vanessa
    [J]. COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2018, 61 : 248 - 270
  • [45] Stationary localized solutions in the subcritical complex Ginzburg-Landau equation
    Descalzi, O
    Argentina, M
    Tirapegui, E
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 2002, 12 (11): : 2459 - 2465
  • [46] NEW PROPERTIES OF QUASIPERIODIC SOLUTIONS OF THE COMPLEX GINZBURG-LANDAU EQUATION
    Akhromeyeva, Tatiana S.
    Malinetskii, George G.
    Potapov, Alexey B.
    Tsertsvadze, George Z.
    [J]. INTERNATIONAL JOURNAL OF BIFURCATION AND CHAOS, 1992, 2 (04): : 955 - 972
  • [47] ON THE INVARIANTS OF THE COMPLEX GINZBURG-LANDAU EQUATION
    MAGEN, M
    ROSENAU, P
    [J]. PHYSICS LETTERS A, 1984, 104 (09) : 444 - 446
  • [48] Stability of the pulselike solutions of the quintic complex Ginzburg-Landau equation
    SotoCrespo, JM
    Akhmediev, NN
    Afanasjev, VV
    [J]. JOURNAL OF THE OPTICAL SOCIETY OF AMERICA B-OPTICAL PHYSICS, 1996, 13 (07) : 1439 - 1449
  • [49] The world of the complex Ginzburg-Landau equation
    Aranson, IS
    Kramer, L
    [J]. REVIEWS OF MODERN PHYSICS, 2002, 74 (01) : 99 - 143
  • [50] The complex Ginzburg-Landau equation: an introduction
    Garcia-Morales, Vladimir
    Krischer, Katharina
    [J]. CONTEMPORARY PHYSICS, 2012, 53 (02) : 79 - 95
12345