期刊
NONLINEAR DYNAMICS
卷 80, 期 1-2, 页码 715-721出版社
SPRINGER
DOI: 10.1007/s11071-015-1900-0
关键词
PT-symmetric nonlinear couplers; (2+1)-dimensional-coupled nonlinear Schrodinger equation; Combined Peregrine soliton and Kuznetsov-Ma soliton; Controllable behavior
资金
- Zhejiang Provincial Natural Science Foundation of China [LY13F050006]
- National Natural Science Foundation of China [11375007, 11404289]
- Scientific Research and Developed Fund of Zhejiang A F University [2014FR020]
- Foundation of New Century 151 Talent Engineering of Zhejiang Province of China
- Youth Top-notch Talent Development and Training Program of Zhejiang A F University
We investigate a (2+1)-dimensional-coupled variable coefficient nonlinear Schrodinger equation in parity time symmetric nonlinear couplers with gain and loss and analytically obtain a combined structure solution via the Darboux transformation method. When the imaginary part of the eigenvalue n is smaller or bigger than 1, we can obtain the combined Peregrine soliton and Akhmediev breather, or Kuznetsov-Ma soliton, respectively. Moreover, we study the controllable behaviors of this combined Peregrine soliton and Kuznetsov-Ma soliton structure in a diffraction decreasing system with exponential profile. In this system, the effective propagation distance Z exists a maximal value Z(m) and the maximum amplitude of the KM soliton appears in the periodic locations Z(i). By modulating the relation between values of Z(m) and Z(i), we realize the control for the excitation of the combined Peregrine soliton and Kuznetsov-Ma soliton, such as the restraint, maintenance, and postpone.
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