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- Title
Soliton solutions and stability analysis for some conformable nonlinear partial differential equations in mathematical physics.
- Authors
Inc, Mustafa; Yusuf, Abdullahi; Aliyu, Aliyu Isa; Baleanu, Dumitru
- 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.
- Subjects
NONLINEAR partial differential operators; MATHEMATICAL physics; SOLITONS; SINE-Gordon equation; FRACTIONAL differential equations
- Publication
Optical & Quantum Electronics, 2018, Vol 50, Issue 4, p1
- ISSN
0306-8919
- Publication type
Article
- DOI
10.1007/s11082-018-1459-3