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

Author

Listed:
  • Ali, Khalid K.
  • Nuruddeen, R.I.
  • Raslan, K.R.

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.

Suggested Citation

  • Ali, Khalid K. & Nuruddeen, R.I. & Raslan, K.R., 2018. "New structures for the space-time fractional simplified MCH and SRLW equations," Chaos, Solitons & Fractals, Elsevier, vol. 106(C), pages 304-309.
    • Handle: RePEc:eee:chsofr:v:106:y:2018:i:c:p:304-309
    DOI: 10.1016/j.chaos.2017.11.038
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    Cited by:

    1. Inc, Mustafa & Yusuf, Abdullahi & Aliyu, Aliyu Isa & Baleanu, Dumitru, 2018. "Lie symmetry analysis, explicit solutions and conservation laws for the space–time fractional nonlinear evolution equations," Physica A: Statistical Mechanics and its Applications, Elsevier, vol. 496(C), pages 371-383.
    2. Emadifar, Homan & Nonlaopon, Kamsing & Muhammad, Shoaib & Nuruddeen, Rahmatullah Ibrahim & Kim, Hwajoon & Ahmad, Abdulaziz Garba, 2023. "Analytical investigation of the coupled fractional models for immersed spheres and oscillatory pendulums," Chaos, Solitons & Fractals, Elsevier, vol. 171(C).
    3. Ali, Khalid K. & Cattani, Carlo & Gómez-Aguilar, J.F. & Baleanu, Dumitru & Osman, M.S., 2020. "Analytical and numerical study of the DNA dynamics arising in oscillator-chain of Peyrard-Bishop model," Chaos, Solitons & Fractals, Elsevier, vol. 139(C).

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