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Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity
Author
Source
Journal of Applied Mathematics
Issue
Vol. 2019, Issue 2019 (31 Dec. 2019), pp.1-8, 8 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2019-02-03
Country of Publication
Egypt
No. of Pages
8
Main Subjects
Abstract EN
In this work, we investigate various types of solutions for the generalised resonant dispersive nonlinear Schrödinger equation (GRD-NLSE) with power law nonlinearity.
Based on simple mathematical techniques, the complicated form of the GRD-NLSE is reduced to an ordinary differential equation (ODE) which has a variety of solutions.
The analytic solution of the resulting ODE gives rise to bright soliton, singular soliton, peaked soliton, compacton solutions, solitary pattern solutions, rational solution, Weierstrass elliptic periodic type solutions, and some other types of solutions.
Constraint conditions for the existence of solitons and other solutions are given.
American Psychological Association (APA)
Al-Ghafri, K. S.. 2019. Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity. Journal of Applied Mathematics،Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1168900
Modern Language Association (MLA)
Al-Ghafri, K. S.. Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity. Journal of Applied Mathematics No. 2019 (2019), pp.1-8.
https://search.emarefa.net/detail/BIM-1168900
American Medical Association (AMA)
Al-Ghafri, K. S.. Different Physical Structures of Solutions for a Generalized Resonant Dispersive Nonlinear Schrödinger Equation with Power Law Nonlinearity. Journal of Applied Mathematics. 2019. Vol. 2019, no. 2019, pp.1-8.
https://search.emarefa.net/detail/BIM-1168900
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1168900