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Jan 2017 Functional Variable Method for conformable fractional modified KdV-ZK equation and Maccari system
Yücel Çenesiz, Orkun Tasbozan, Ali Kurt
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Tbilisi Math. J. 10(1): 117-125 (Jan 2017). DOI: 10.1515/tmj-2017-0010

Abstract

Modeling the motion and propagation characteristics of waves have importance in coastal, ocean and maritime engineering. Especially, waves are the major source of environmental actions on beaches or on man-made fixed or floating structures in most geographical areas. So Maccari system has great application in mentioned areas. The modified KdV is ion acoustic perturbations evolution model in a plasma with two negative ion components which have different temperatures. As for the KdV equation, the modified ZK (mZK) equation arises naturally as weakly two-dimensional variations of the mKdV equation. In this paper authors used functional variable method(FVM) for the first time to obtain exact travelling wave and soliton solutions of conformable fractional modified KdV-Zakharov-Kuznetsov(mKdv-ZK) equation and Maccari system. As a consequence, new solutions are obtained and it is seen that FVM is an valuable and efficient tool for solving nonlinear equations and systems where the derivatives defined by means of conformable fractional derivative.

Citation

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Yücel Çenesiz. Orkun Tasbozan. Ali Kurt. "Functional Variable Method for conformable fractional modified KdV-ZK equation and Maccari system." Tbilisi Math. J. 10 (1) 117 - 125, Jan 2017. https://doi.org/10.1515/tmj-2017-0010

Information

Received: 20 May 2016; Accepted: 7 July 2016; Published: Jan 2017
First available in Project Euclid: 26 May 2018

zbMATH: 1372.35330
MathSciNet: MR3610024
Digital Object Identifier: 10.1515/tmj-2017-0010

Subjects:
Primary: 35R11
Secondary: 26A33, 34A08, 35A20

Rights: Copyright © 2017 Tbilisi Centre for Mathematical Sciences

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Vol.10 • No. 1 • Jan 2017
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