Breathers and Soliton Solutions for a Generalization of the Nonlinear Schrödinger Equation
Joint Authors
Guo, Rui
Zhang, Hai-Feng
Zhang, Jianwen
Source
Mathematical Problems in Engineering
Issue
Vol. 2013, Issue 2013 (31 Dec. 2013), pp.1-5, 5 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2013-03-25
Country of Publication
Egypt
No. of Pages
5
Main Subjects
Abstract EN
A generalized nonlinear Schrödinger equation, which describes the propagation of the femtosecond pulse in single mode optical silica fiber, is analytically investigated.
By virtue of the Darboux transformation method, some new soliton solutions are generated: the bright one-soliton solution on the zero background, the dark one-soliton solution on the continuous wave background, the Akhmediev breather which delineates the modulation instability process, and the breather evolving periodically along the straight line with a certain angle of x-axis and t-axis.
Those results might be useful in the study of the femtosecond pulse in single mode optical silica fiber.
American Psychological Association (APA)
Zhang, Hai-Feng& Guo, Rui& Zhang, Jianwen. 2013. Breathers and Soliton Solutions for a Generalization of the Nonlinear Schrödinger Equation. Mathematical Problems in Engineering،Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1009429
Modern Language Association (MLA)
Zhang, Hai-Feng…[et al.]. Breathers and Soliton Solutions for a Generalization of the Nonlinear Schrödinger Equation. Mathematical Problems in Engineering No. 2013 (2013), pp.1-5.
https://search.emarefa.net/detail/BIM-1009429
American Medical Association (AMA)
Zhang, Hai-Feng& Guo, Rui& Zhang, Jianwen. Breathers and Soliton Solutions for a Generalization of the Nonlinear Schrödinger Equation. Mathematical Problems in Engineering. 2013. Vol. 2013, no. 2013, pp.1-5.
https://search.emarefa.net/detail/BIM-1009429
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1009429