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

Khalid K. Ali, R.I. Nuruddeen and K.R. Raslan

Chaos, Solitons & Fractals, 2018, vol. 106, issue C, 304-309

Abstract: 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.

Keywords: Conformable fractional derivative; MCH equation; SRLW equation; Modified extended tanh method (search for similar items in EconPapers)
Date: 2018
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Citations: View citations in EconPapers (3)

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Persistent link: https://EconPapers.repec.org/RePEc:eee:chsofr:v:106:y:2018:i:c:p:304-309

DOI: 10.1016/j.chaos.2017.11.038

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