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- Title
Bilinear forms and dark-soliton solutions for a fifth-order variable-coefficient nonlinear Schrödinger equation in an optical fiber.
- Authors
Zhao, Chen; Gao, Yi-Tian; Lan, Zhong-Zhou; Yang, Jin-Wei; Su, Chuan-Qi
- Abstract
In this paper, a fifth-order variable-coefficient nonlinear Schrödinger equation is investigated, which describes the propagation of the attosecond pulses in an optical fiber. Via the Hirota's method and auxiliary functions, bilinear forms and dark one-, two- and three-soliton solutions are obtained. Propagation and interaction of the solitons are discussed graphically: We observe that the solitonic velocities are only related to , , and , the coefficients of the second-, third-, fourth- and fifth-order terms, respectively, with being the scaled distance, while the solitonic amplitudes are related to , , , as well as the wave number. When , , and are the constants, or the linear, quadratic and trigonometric functions of , we obtain the linear, parabolic, cubic and periodic dark solitons, respectively. Interactions between (among) the two (three) solitons are depicted, which can be regarded to be elastic because the solitonic amplitudes remain unchanged except for some phase shifts after each interaction in an optical fiber.
- Subjects
BILINEAR forms; SOLITONS; SCHRODINGER equation; OPTICAL fibers; ATTOSECOND pulses; TRIGONOMETRIC functions
- Publication
Modern Physics Letters B, 2016, Vol 30, Issue 24, p-1
- ISSN
0217-9849
- Publication type
Article
- DOI
10.1142/S0217984916503127