ITM Web Conf.
Volume 22, 2018The Third International Conference on Computational Mathematics and Engineering Sciences (CMES2018)
|Number of page(s)||9|
|Published online||17 October 2018|
Construction of various soliton solutions via the simplified extended sinh-Gordon equation expansion method
Department of Mathematics, Firat University, Elazig, Turkey
2 Department of Mathematics, Federal University, Dutse, Jigawa, Nigeria
3 Department of Mathematics Education, Final International University, Kyrenia, Cyprus
4 Department of Computer Engineering, Munzur University, Tunceli, Turkey
* Corresponding Author: firstname.lastname@example.org
In this paper, we present the simplified version of the extended sinh-Gordon equation expansion method. The newly proposed approach is based on the well-known sinh-Gordon equation and a travelling wave transformation. We successfully employed this approach to the (2+1)-dimensional nonlinear Chiral Schrodinger's and various solitary wave solutions to the studied nonlinear model are successfully constructed. The (2+1)-dimensional nonlinear Chiral Schrodinger's equation describes the edge states of the fractional quantum hall effect. The 2D and 3D surfaces of some of the obtained solutions are plotted.
© The Authors, published by EDP Sciences, 2018
This is an Open Access article distributed under the terms of the Creative Commons Attribution License (http://creativecommons.org/licenses/by/4.0), which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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