Next Article in Journal
Optimal Resource Allocation Model and Algorithm for Elastic Enterprise Applications Migration to the Cloud
Next Article in Special Issue
Mathematical Analysis of an Autoimmune Diseases Model: Kinetic Approach
Previous Article in Journal
On the High-Power Mean of the Generalized Gauss Sums and Kloosterman Sums
Previous Article in Special Issue
A Convergence Theorem for the Nonequilibrium States in the Discrete Thermostatted Kinetic Theory
Open AccessArticle

Exact Solutions for a Modified Schrödinger Equation

1
Department of Mathematics and Informatics, University of Benyoucef Benkhedda (Alger 1), Algiers 16000, Algeria
2
Faculty of Engineering and Architecture, University of Enna “Kore”, 94100 Enna, Italy
3
Department of Mathematics and Computer Science, University of Catania, 95125 Catania, Italy
*
Author to whom correspondence should be addressed.
Mathematics 2019, 7(10), 908; https://doi.org/10.3390/math7100908
Received: 24 August 2019 / Revised: 22 September 2019 / Accepted: 27 September 2019 / Published: 29 September 2019
The aim of this paper was to propose a systematic study of a ( 1 + 1 ) -dimensional higher order nonlinear Schrödinger equation, arising in two different contexts regarding the biological science and the nonlinear optics. We performed a Lie symmetry analysis and here present exact solutions of the equation. View Full-Text
Keywords: Schrödinger equation; Davydov’s model; partial differential equations; exact solutions Schrödinger equation; Davydov’s model; partial differential equations; exact solutions
Show Figures

Figure 1

MDPI and ACS Style

Benia, Y.; Ruggieri, M.; Scapellato, A. Exact Solutions for a Modified Schrödinger Equation. Mathematics 2019, 7, 908.

Show more citation formats Show less citations formats
Note that from the first issue of 2016, MDPI journals use article numbers instead of page numbers. See further details here.

Article Access Map by Country/Region

1
Back to TopTop