A one- and two-dimensional nonlinear pulse interaction

被引:2
|
作者
Ciattoni, A [1 ]
Degasperis, A
DelRe, E
机构
[1] Univ Aquila, Dipartimento Fis, I-67010 Coppito, Italy
[2] INFM, Unita Roma 1, Rome, Italy
[3] Univ Rome La Sapienza, Dipartimento Fis, I-00185 Rome, Italy
[4] Ist Nazl Fis Nucl, Rome, Italy
[5] Fdn Ugo Bordoni, I-00142 Rome, Italy
来源
PHYSICAL REVIEW E | 2000年 / 61卷 / 05期
关键词
D O I
10.1103/PhysRevE.61.R4714
中图分类号
O35 [流体力学]; O53 [等离子体物理学];
学科分类号
070204 ; 080103 ; 080704 ;
摘要
The peculiar intergrability of the Davey-Stewartson equation allows us to analytically find solutions describing the simultaneous formation and interaction of one-dimensional and two-dimensional localized coherent structures. The predicted phenomenology allows us to address the issue of interaction of solitons of different dimensionality that may serve as a starting point for the understanding of hybrido-dimensional collisions recently observed in nonlinear optical media.
引用
收藏
页码:R4714 / R4717
页数:4
相关论文
共 50 条
  • [1] Nonlinear spinwaves in one- and two-dimensional magnetic waveguides
    Slavin, AN
    Demokritov, SO
    Hillebrands, B
    [J]. SPIN DYNAMICS IN CONFINED MAGNETIC STRUCTURES I, 2002, 83 : 35 - 64
  • [2] RKKY interaction in one- and two-dimensional electron gases
    Litvinov, VI
    Dugaev, VK
    [J]. PHYSICAL REVIEW B, 1998, 58 (07) : 3584 - 3585
  • [3] One- and two-dimensional nonlinear THz spectroscopy on semiconductor nanostructures
    Woerner, Michael
    Kuehn, Wilhelm
    Reimann, Klaus
    Elsaesser, Thomas
    Hey, Rudolf
    [J]. ULTRAFAST PHENOMENA IN SEMICONDUCTORS AND NANOSTRUCTURE MATERIALS XV, 2011, 7937
  • [4] Measuring transient chaos in nonlinear one- and two-dimensional maps
    Buszko, K
    Stefánski, K
    [J]. CHAOS SOLITONS & FRACTALS, 2006, 27 (03) : 630 - 646
  • [5] One- and two-dimensional simulations of ultra-short-pulse reflectometry
    Cohen, BI
    Kaiser, TB
    Garrison, JC
    [J]. REVIEW OF SCIENTIFIC INSTRUMENTS, 1997, 68 (02): : 1238 - 1243
  • [6] One- and Two-Dimensional Inorganic Nanomaterials
    Rao, C. N. R.
    [J]. EUROPEAN JOURNAL OF INORGANIC CHEMISTRY, 2010, (27) : 4221 - 4221
  • [7] Localization and trapping of light in one- and two-dimensional nonlinear periodic structures
    Aceves, Alejandro B.
    [J]. WAVE MOTION, 2007, 45 (1-2) : 48 - 58
  • [8] One- and two-dimensional pulse electron paramagnetic resonance spectroscopy: concepts and applications
    S. Van Doorslaer
    A. Schweiger
    [J]. Naturwissenschaften, 2000, 87 : 245 - 255
  • [9] One- and two-dimensional pulse electron paramagnetic resonance spectroscopy: concepts and applications
    Van Doorslaer, S
    Schweiger, A
    [J]. NATURWISSENSCHAFTEN, 2000, 87 (06) : 245 - 255
  • [10] Three Discontinuous Galerkin Methods for One- and Two-Dimensional Nonlinear Dirac Equations with a Scalar Self-Interaction
    Li, Shu-Cun
    Tang, Huazhong
    [J]. COMMUNICATIONS IN COMPUTATIONAL PHYSICS, 2021, 30 (04) : 1150 - 1184