Effect of Third-Order Dispersion on the Solitonic Solutions of the Schrödinger Equations with Cubic Nonlinearity
Joint Authors
Samet, H. Chachou
Benarous, M.
Asad-uz-zaman, M.
Al Khawaja, U.
Source
Advances in Mathematical Physics
Issue
Vol. 2014, Issue 2014 (31 Dec. 2014), pp.1-6, 6 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2014-09-15
Country of Publication
Egypt
No. of Pages
6
Main Subjects
Abstract EN
We derive the solitonic solution of the nonlinear Schrödinger equation with cubic nonlinearity, complex potentials, and time-dependent coefficients using the Darboux transformation.
We establish the integrability condition for the most general nonlinear Schrödinger equation with cubic nonlinearity and discuss the effect of the coefficients of the higher-order terms in the solitonic solution.
We find that the third-order dispersion term can be used to control the soliton motion without the need for an external potential.
We discuss the integrability conditions and find the solitonic solution of some of the well-known nonlinear Schrödinger equations with cubic nonlinearity and time-dependent coefficients.
We also investigate the higher-order nonlinear Schrödinger equation with cubic and quintic nonlinearities.
American Psychological Association (APA)
Samet, H. Chachou& Benarous, M.& Asad-uz-zaman, M.& Al Khawaja, U.. 2014. Effect of Third-Order Dispersion on the Solitonic Solutions of the Schrödinger Equations with Cubic Nonlinearity. Advances in Mathematical Physics،Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1015546
Modern Language Association (MLA)
Samet, H. Chachou…[et al.]. Effect of Third-Order Dispersion on the Solitonic Solutions of the Schrödinger Equations with Cubic Nonlinearity. Advances in Mathematical Physics No. 2014 (2014), pp.1-6.
https://search.emarefa.net/detail/BIM-1015546
American Medical Association (AMA)
Samet, H. Chachou& Benarous, M.& Asad-uz-zaman, M.& Al Khawaja, U.. Effect of Third-Order Dispersion on the Solitonic Solutions of the Schrödinger Equations with Cubic Nonlinearity. Advances in Mathematical Physics. 2014. Vol. 2014, no. 2014, pp.1-6.
https://search.emarefa.net/detail/BIM-1015546
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1015546