Single and Multi-Soliton Solutions for a Spectrally Deformed Set of Maxwell-Bloch Equations

被引:0
作者
Baran, Mehmet K. [1 ]
机构
[1] Marmara Univ, Comp Engn Dept, TR-34722 Istanbul, Turkey
来源
SYMMETRY-BASEL | 2019年 / 11卷 / 03期
关键词
maxwell-bloch equations; solitons; spectral deformation; darboux transformations; lax pair; zero curvature representation; soliton collision; OPTICAL SOLITONS;
D O I
10.3390/sym11030435
中图分类号
O [数理科学和化学]; P [天文学、地球科学]; Q [生物科学]; N [自然科学总论];
学科分类号
07 ; 0710 ; 09 ;
摘要
A specific spectral deformation of the Maxwell-Bloch equations of nonlinear optics is investigated. The Darboux transformation formalism is adapted to this spectrally deformed system to construct its single and multi-soliton solutions. The Effects of spectral deformation on soliton behaviour is studied.
引用
收藏
页数:8
相关论文
共 11 条
  • [1] Belinsky V.A., 1978, Sov. Phys. JETP, V48, P985
  • [2] ALTERNATIVE INTEGRABLE EQUATIONS OF NONLINEAR OPTICS
    BURTSEV, SP
    GABITOV, IR
    [J]. PHYSICAL REVIEW A, 1994, 49 (03): : 2065 - 2070
  • [3] Gao J.W., 2016, INDIAN J PHYS, V91, P129
  • [4] Darboux transformation and soliton solutions for the generalized coupled variable-coefficient nonlinear Schrodinger-Maxwell-Bloch system with symbolic computation
    Guo, Rui
    Tian, Bo
    Lu, Xing
    Zhang, Hai-Qiang
    Liu, Wen-Jun
    [J]. COMPUTATIONAL MATHEMATICS AND MATHEMATICAL PHYSICS, 2012, 52 (04) : 565 - 577
  • [5] Nonautonomous integrable nonlinear Schrodinger equations with generalized external potentials
    Han, Kyoung Ho
    Shin, H. J.
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND THEORETICAL, 2009, 42 (33)
  • [6] Optical solitons in erbium-doped fibres with higher-order effects and pumping
    Nakkeeran, K
    [J]. JOURNAL OF PHYSICS A-MATHEMATICAL AND GENERAL, 2000, 33 (23): : 4377 - 4381
  • [7] Optical solitons in some deformed MB and NLS-MB equations
    Porsezian, K
    Seenuvasakumaran, P
    Ganapathy, R
    [J]. PHYSICS LETTERS A, 2006, 348 (3-6) : 233 - 243
  • [8] Soliton models in resonant and nonresonant optical fibers
    Porsezian, K
    [J]. PRAMANA-JOURNAL OF PHYSICS, 2001, 57 (5-6): : 1003 - 1039
  • [9] Porsezian K, 2000, J MOD OPTIC, V47, P1635, DOI 10.1080/09500340008231413
  • [10] Multi-soliton propagation in a generalized inhomogeneous nonlinear Schrodinger-Maxwell-Bloch system with loss/gain driven by an external potential
    Rajan, M. S. Mani
    Mahalingam, A.
    [J]. JOURNAL OF MATHEMATICAL PHYSICS, 2013, 54 (04)