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Soliton solutions and stability analysis for some conformable nonlinear partial differential equations in mathematical physics |
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| Authors: | Mustafa Inc Abdullahi Yusuf Aliyu Isa Aliyu Dumitru Baleanu |
| Affiliation: | 1.Department of Mathematics, Science Faculty,Firat University,Elazig,Turkey;2.Department of Mathematics, Science Faculty,Federal University Dutse,Jigawa,Nigeria;3.Department of Mathematics,Cankaya University,Ankara,Turkey;4.Institute of Space Sciences,Magurele, Bucharest,Romania |
| Abstract: | This research presents soliton solutions and stability analysis to some conformable nonlinear partial differential equations (CNPDEs). The CNPDEs equations in this paper are conformable Cahn–Allen and conformable Zoomeron equations. The powerful sine-Gordon method is used to carry out the soliton solutions for these equations. The aspects of stability analysis for the considered equations is investigated using the linear stability technique. The sine-Gordon method proves to be efficient and effective for the extraction of soliton solutions for different types of CNPDEs. |
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