New structures for the space-time fractional simplified MCH and SRLW equations

•New solitary structures for the space-time fractional simplified MCH and SRLW are constructed.•The space and time fractional orders involve are in the sense of the new conformable fractional derivative.•The modified extended tanh method is adopted due its various advantages.•The method provides exa...

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Bibliographic Details
Published in:Chaos, solitons and fractals solitons and fractals, 2018-01, Vol.106, p.304-309
Main Authors: Ali, Khalid K., Nuruddeen, R.I., Raslan, K.R.
Format: Article
Language:English
Subjects:
Conformable fractional derivative
MCH equation
Modified extended tanh method
SRLW equation
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Summary:•New solitary structures for the space-time fractional simplified MCH and SRLW are constructed.•The space and time fractional orders involve are in the sense of the new conformable fractional derivative.•The modified extended tanh method is adopted due its various advantages.•The method provides exact travelling wave solutions of hyperbolic and trigonometric functions type, respectively. In this paper, we constructed new solitary structures for the space-time fractional simplified modified Camassa-Holm (MCH) equation and space-time fractional symmetric regularized long wave (SRLW) equation using the modified extended tanh method. The space-time fractional derivatives are defined in the sense of the new conformable fractional derivative. Further, with the help of Mathematica software, the set of over-determined algebraic equations obtained after reducing the equations to ordinary differentials equations are treated. We finally provide graphical illustrations for some structures.
ISSN:0960-0779
1873-2887
DOI:10.1016/j.chaos.2017.11.038