Reductions and exact solutions of a cubic Schrodinger Partial Differential Equation

Lie symmetry analysis is an established method for generating symmetries of differential equations. We apply this method together the generalized fundamental theorem of double reduction. In particular, Noether symmetries and some associated conservation laws are constructed in our investigation to f...

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Bibliographic Details
Published in:arXiv.org 2019-12
Main Authors: Masemola, Phetogo, Phidane, Thilivhali
Format: Article
Language:English
Subjects:
Conservation laws
Exact solutions
Mathematical analysis
Partial differential equations
Schrodinger equation
Online Access:Get full text
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Summary:Lie symmetry analysis is an established method for generating symmetries of differential equations. We apply this method together the generalized fundamental theorem of double reduction. In particular, Noether symmetries and some associated conservation laws are constructed in our investigation to find exact solutions of higher order partial differential equations and complex partial differential equations.
ISSN:2331-8422