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On the Existence of Bright Solitons in Cubic-Quintic Nonlinear Schrödinger Equation with Inhomogeneous Nonlinearity
Author
Source
Mathematical Problems in Engineering
Issue
Vol. 2008, Issue 2008 (31 Dec. 2008), pp.1-14, 14 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2008-07-10
Country of Publication
Egypt
No. of Pages
14
Main Subjects
Abstract EN
We give a proof of the existence of stationary bright soliton solutions of the cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearity.
By using bifurcation theory, we prove that the norm of the positive solution goes to zero as the parameter λ, called chemical potential in the Bose-Einstein condensates' literature, tends to zero.
Moreover, we solve the time-dependent cubic-quintic nonlinear Schrödinger equation with inhomogeneous nonlinearities by using a numerical method.
American Psychological Association (APA)
Belmonte-Beitia, Juan. 2008. On the Existence of Bright Solitons in Cubic-Quintic Nonlinear Schrödinger Equation with Inhomogeneous Nonlinearity. Mathematical Problems in Engineering،Vol. 2008, no. 2008, pp.1-14.
https://search.emarefa.net/detail/BIM-988157
Modern Language Association (MLA)
Belmonte-Beitia, Juan. On the Existence of Bright Solitons in Cubic-Quintic Nonlinear Schrödinger Equation with Inhomogeneous Nonlinearity. Mathematical Problems in Engineering No. 2008 (2008), pp.1-14.
https://search.emarefa.net/detail/BIM-988157
American Medical Association (AMA)
Belmonte-Beitia, Juan. On the Existence of Bright Solitons in Cubic-Quintic Nonlinear Schrödinger Equation with Inhomogeneous Nonlinearity. Mathematical Problems in Engineering. 2008. Vol. 2008, no. 2008, pp.1-14.
https://search.emarefa.net/detail/BIM-988157
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-988157