ANALYTIC ASPECTS OF THE ZAKHAROV-KUZNETSOV EQUATION

被引:8
|
作者
SHIVAMOGGI, BK
ROLLINS, DK
FANJUL, R
机构
[1] Department of Mathematics, University of Central Florida, Orlando, FL
来源
PHYSICA SCRIPTA | 1993年 / 47卷 / 01期
关键词
D O I
10.1088/0031-8949/47/1/003
中图分类号
O4 [物理学];
学科分类号
0702 ;
摘要
In this paper, we investigate some properties of the Zakharov-Kuznetsov equation (which describes nonlinear ion-acoustic waves in a magnetized plasma), including modulational stability of perturbations aligned with the field, conservation laws and integrability.
引用
收藏
页码:15 / 17
页数:3
相关论文
共 50 条
  • [41] THE ZAKHAROV-KUZNETSOV EQUATION FOR NONLINEAR ION-ACOUSTIC-WAVES
    MURAWSKI, K
    EDWIN, PM
    JOURNAL OF PLASMA PHYSICS, 1992, 47 : 75 - 83
  • [42] Backlund transformation and soliton interactions for the Zakharov-Kuznetsov equation in plasmas
    Qu, Qi-Xing
    Tian, Bo
    Liu, Wen-Jun
    Sun, Kun
    Wang, Pan
    JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS, 2012, 396 (02) : 497 - 503
  • [43] Symmetry reductions and explicit solutions for a generalized Zakharov-Kuznetsov equation
    Yan, ZL
    Liu, XQ
    COMMUNICATIONS IN THEORETICAL PHYSICS, 2006, 45 (01) : 29 - 32
  • [44] Well-posedness results for the modified Zakharov-Kuznetsov equation
    Biagioni, HA
    Linares, F
    NONLINEAR EQUATIONS: METHODS, MODELS AND APPLICATIONS, 2003, 54 : 181 - 189
  • [45] New Exact Travelling Wave Solutions for Zakharov-Kuznetsov Equation
    MA Hong-Cai~+ YU Yao-Dong GE Dong-Jie Department of Applied Mathematics
    Communications in Theoretical Physics, 2009, 51 (04) : 609 - 612
  • [46] The formally variable separation approach for the modified Zakharov-Kuznetsov equation
    Lin, Chang
    Zhang, Xiu-lian
    COMMUNICATIONS IN NONLINEAR SCIENCE AND NUMERICAL SIMULATION, 2007, 12 (05) : 636 - 642
  • [47] Bifurcation Phenomena of Nonlinear Waves in a Generalized Zakharov-Kuznetsov Equation
    Wu, Yun
    Liu, Zhengrong
    ADVANCES IN MATHEMATICAL PHYSICS, 2013, 2013
  • [48] The derivation of a modified Zakharov-Kuznetsov equation and the stability of its solutions
    Munro, S
    Parkes, EJ
    JOURNAL OF PLASMA PHYSICS, 1999, 62 : 305 - 317
  • [49] Modified Zakharov-Kuznetsov Equation Posed on a Half-Strip
    M. Castelli
    G. Doronin
    M. V. Padilha
    Applied Mathematics & Optimization, 2022, 85
  • [50] Modified Zakharov-Kuznetsov Equation Posed on a Half-Strip
    Castelli, M.
    Doronin, G.
    Padilha, M., V
    APPLIED MATHEMATICS AND OPTIMIZATION, 2022, 85 (03):