Dissipative solitons with a Lagrangian approach

被引：34
|
作者：
Ankiewicz, Adrian [1 ]
Akhmediev, Nall [1 ]
Devine, Natasha [1 ]
机构：
[1] Australian Natl Univ, Opt Sci Grp, Res Sch Phys Sci & Engn, Canberra, ACT 0200, Australia
来源：
OPTICAL FIBER TECHNOLOGY | 2007年 / 13卷 / 02期
基金：
澳大利亚研究理事会;
关键词：
dissipative solitons; fiber lasers; Lagrangian approach;
D O I：
10.1016/j.yofte.2006.12.001
中图分类号：
TM [电工技术]; TN [电子技术、通信技术];
学科分类号：
0808 ; 0809 ;
摘要：
We apply Lagrangian techniques to dissipative systems described by the complex Ginzburg-Landau equation (CGLE) that is used for modeling passively mode-locked fiber lasers and all-optical soliton transmission lines. In particular, using Lagrangian equations, we re-derive the known exact solutions of the CGLE. We also apply the technique to finding approximate solutions for pulsating solitons. (c) 2006 Elsevier Inc. All rights reserved.
引用
收藏
页码：91 / 97
页数：7
相关论文
共 50 条
  • [1] LAGRANGIAN APPROACH FOR DARK SOLITONS
    KIVSHAR, YS
    KROLIKOWSKI, W
    OPTICS COMMUNICATIONS, 1995, 114 (3-4) : 353 - 362
  • [2] Perturbed dissipative solitons: A variational approach
    Sahoo, Ambaresh
    Roy, Samudra
    Agrawal, Govind P.
    PHYSICAL REVIEW A, 2017, 96 (01)
  • [3] Lagrangian approach and dissipative magnetic systems
    Bose, Thomas
    Trimper, Steffen
    PHYSICS LETTERS A, 2011, 375 (24) : 2452 - 2455
  • [4] Dissipative solitons
    Purwins, H. -G.
    Boedeker, H. U.
    Amiranashvili, Sh.
    ADVANCES IN PHYSICS, 2010, 59 (05) : 485 - 701
  • [5] DISSIPATIVE SOLITONS
    CHRISTOV, CI
    VELARDE, MG
    PHYSICA D-NONLINEAR PHENOMENA, 1995, 86 (1-2) : 323 - 347
  • [6] Variational approach to stationary and pulsating dissipative optical solitons
    Ferreira, Mario F. S.
    IET OPTOELECTRONICS, 2018, 12 (03) : 122 - 125
  • [7] Lagrangian approach to the dynamics of dark matter-wave solitons
    Theocharis, G
    Schmelcher, P
    Oberthaler, MK
    Kevrekidis, PG
    Frantzeskakis, DJ
    PHYSICAL REVIEW A, 2005, 72 (02):
  • [8] Dissipative molecular solitons
    N. N. Rosanov
    S. V. Fedorov
    A. N. Shatsev
    N. V. Vyssotina
    The European Physical Journal D, 2010, 59 : 3 - 12
  • [9] Dissipative Solitons on a Torus
    N. N. Konobeeva
    A. A. Polunina
    M. B. Belonenko
    Russian Physics Journal, 2016, 58 : 1843 - 1847
  • [10] Optomechanical dissipative solitons
    Jing Zhang
    Bo Peng
    Seunghwi Kim
    Faraz Monifi
    Xuefeng Jiang
    Yihang Li
    Peng Yu
    Lianqing Liu
    Yu-xi Liu
    Andrea Alù
    Lan Yang
    Nature, 2021, 600 : 75 - 80
12345