Integrability and dark soliton solutions for a high-order variable coefficients nonlinear Schrödinger equation

Under investigation in this paper is the integrability and dark soliton solutions for a fifth-order variable coefficients nonlinear Schrödinger equation, which is used in an inhomogeneous optical fiber. Bilinear forms, Lax pair and infinitely-many conservation laws are obtained under an integrable c...

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Bibliographic Details
Published in:Applied mathematics letters 2019-07, Vol.93, p.29-33
Main Author: Huang, Qian-Min
Format: Article
Language:English
Subjects:
Dark solitons
Integrability
Nonlinear Schrödinger equation
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Summary:Under investigation in this paper is the integrability and dark soliton solutions for a fifth-order variable coefficients nonlinear Schrödinger equation, which is used in an inhomogeneous optical fiber. Bilinear forms, Lax pair and infinitely-many conservation laws are obtained under an integrable constraint. Dark one-, two- and N-soliton solutions are constructed via the Hirota bilinear method.
ISSN:0893-9659
1873-5452
DOI:10.1016/j.aml.2019.01.029