Exact Solutions for a Modified Schrödinger Equation

Yassine Benia, Marianna Ruggieri and Andrea Scapellato
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Yassine Benia: Department of Mathematics and Informatics, University of Benyoucef Benkhedda (Alger 1), Algiers 16000, Algeria
Marianna Ruggieri: Faculty of Engineering and Architecture, University of Enna “Kore”, 94100 Enna, Italy
Andrea Scapellato: Department of Mathematics and Computer Science, University of Catania, 95125 Catania, Italy

Mathematics, 2019, vol. 7, issue 10, 1-9

Abstract: 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.

Keywords: Schrödinger equation; Davydov’s model; partial differential equations; exact solutions (search for similar items in EconPapers)
JEL-codes: C (search for similar items in EconPapers)
Date: 2019
References: View references in EconPapers View complete reference list from CitEc
Citations: View citations in EconPapers (1)

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