Breather-to-soliton transition for a sixth-order nonlinear Schrödinger equation in an optical fiber

In this letter, breather-to-soliton transition is studied for an integrable sixth-order nonlinear Schrödinger equation in an optical fiber. Constraint for the breather-to-soliton transition is given. Breathers could be transformed into the different types of solitons, which are determined by the val...

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Bibliographic Details
Published in:Applied mathematics letters 2018-01, Vol.75, p.135-140
Main Authors: Huang, Qian-Min, Gao, Yi-Tian, Hu, Lei
Format: Article
Language:English
Subjects:
Breather-to-soliton transition
Darboux transformation
Optical fiber
Sixth-order nonlinear Schrödinger equation
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Summary:In this letter, breather-to-soliton transition is studied for an integrable sixth-order nonlinear Schrödinger equation in an optical fiber. Constraint for the breather-to-soliton transition is given. Breathers could be transformed into the different types of solitons, which are determined by the values of the real and imaginary parts of the eigenvalues in the Darboux transformation. Interactions of the breathers and breathers, of the breathers and solitons, as well as of the solitons and solitons, are graphically presented.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2017.06.015