Bright and dark solitary wave soliton solutions for the generalized higher order nonlinear Schrödinger equation and its stability

The higher order nonlinear Schrödinger (NLS) equation describes ultra-short pluse propagation in optical fibres. By using the amplitude ansatz method, we derive the exact bright, dark and bright-dark solitary wave soliton solutions of the generalized higher order nonlinear NLS equation. These soluti...

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Bibliographic Details
Published inResults in physics Vol. 7; pp. 43 - 48
Main Authors Seadawy, Aly R., Lu, Dianchen
Format Journal Article
LanguageEnglish
Published Elsevier B.V 2017
Elsevier
Subjects
Generalized higher order NLS equation
Mathematical Physics methods
Solitary wave solutions
35G20
49S05
Mathematical Physics methods
35Q53
Solitary wave solutions
76A60
Generalized higher order NLS equation
37K10
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Summary:The higher order nonlinear Schrödinger (NLS) equation describes ultra-short pluse propagation in optical fibres. By using the amplitude ansatz method, we derive the exact bright, dark and bright-dark solitary wave soliton solutions of the generalized higher order nonlinear NLS equation. These solutions for the generalized higher order nonlinear NLS equation are obtained precisely and efficiency of the method can be demonstrated. The stability of these solutions and the movement role of the waves are analyzed by applying the modulation instability analysis and stability analysis solutions. All solutions are exact and stable.
ISSN:2211-3797
2211-3797
DOI:10.1016/j.rinp.2016.11.038