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Optical and Quantum Electronics
Erschienen in: Optical and Quantum Electronics 10/2017

01.10.2017

New solutions for conformable fractional Nizhnik–Novikov–Veselov system via \(G'/G\) expansion method and homotopy analysis methods

verfasst von: A. Kurt, O. Tasbozan, D. Baleanu

Erschienen in: Optical and Quantum Electronics | Ausgabe 10/2017

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Abstract

The main purpose of this paper is to find the exact and approximate analytical solution of Nizhnik–Novikov–Veselov system which may be considered as a model for an incompressible fluid with newly defined conformable derivative by using \(G'/G\) expansion method and homotopy analysis method (HAM) respectively. Authors used conformable derivative because of its applicability and lucidity. It is known that, the NNV system of equations is an isotropic Lax integrable extension of the well-known KdV equation and has physical significance. Also, NNV system of equations can be derived from the inner parameter-dependent symmetry constraint of the KP equation. Then the exact solutions obtained by using \(G'/G\) expansion method are compared with the approximate analytical solutions attained by employing HAM.
Vorheriger Artikel Synthesis, vibrational and UV–visible studies of sodium cadmium orthophosphate
Nächster Artikel Analytical framework of small-gap photoconductive dipole antenna using equivalent circuit model

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Metadaten
Titel
New solutions for conformable fractional Nizhnik–Novikov–Veselov system via expansion method and homotopy analysis methods
verfasst von
A. Kurt
O. Tasbozan
D. Baleanu
Publikationsdatum
01.10.2017
Verlag
Springer US
Erschienen in
Optical and Quantum Electronics / Ausgabe 10/2017
Print ISSN: 0306-8919
Elektronische ISSN: 1572-817X
DOI
https://doi.org/10.1007/s11082-017-1163-8

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