Nonlinear Green’s Functions for Wave Equation with Quadratic and Hyperbolic Potentials
Author
Source
Advances in Mathematical Physics
Issue
Vol. 2018, Issue 2018 (31 Dec. 2018), pp.1-9, 9 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2018-06-03
Country of Publication
Egypt
No. of Pages
9
Main Subjects
Abstract EN
The advantageous Green’s function method that originally has been developed for nonhomogeneous linear equations has been recently extended to nonlinear equations by Frasca.
This article is devoted to rigorous and numerical analysis of some second-order differential equations new nonlinearities by means of Frasca’s method.
More specifically, we consider one-dimensional wave equation with quadratic and hyperbolic nonlinearities.
The case of exponential nonlinearity has been reported earlier.
Using the method of generalized separation of variables, it is shown that a hierarchy of nonlinear wave equations can be reduced to second-order nonlinear ordinary differential equations, to which Frasca’s method is applicable.
Numerical error analysis in both cases of nonlinearity is carried out for various source functions supporting the advantage of the method.
American Psychological Association (APA)
Khurshudyan, Asatur Zh.. 2018. Nonlinear Green’s Functions for Wave Equation with Quadratic and Hyperbolic Potentials. Advances in Mathematical Physics،Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119250
Modern Language Association (MLA)
Khurshudyan, Asatur Zh.. Nonlinear Green’s Functions for Wave Equation with Quadratic and Hyperbolic Potentials. Advances in Mathematical Physics No. 2018 (2018), pp.1-9.
https://search.emarefa.net/detail/BIM-1119250
American Medical Association (AMA)
Khurshudyan, Asatur Zh.. Nonlinear Green’s Functions for Wave Equation with Quadratic and Hyperbolic Potentials. Advances in Mathematical Physics. 2018. Vol. 2018, no. 2018, pp.1-9.
https://search.emarefa.net/detail/BIM-1119250
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1119250