Different soliton solutions to the modified equal-width wave equation with Beta-time fractional derivative via two different methods


  • Asim zafar
  • Muhammad Raheel
  • Mohammad Mirzazadeh
  • Mostafa Eslami




MEW equation, Beta-time derivative, Extended Jacobi's elliptic expansion function method, Kudryashov method, Soliton solutions‎.


‎In this paper‎, ‎different types of soliton solutions of the modified equal width wave (MEW) equation with beta time derivative are obtained by implementing the two different methods named as‎: ‎extended Jacobi's elliptic expansion function method and Kudryashov method‎. ‎The dark‎, ‎bright‎, ‎singular and other solitons are achieved‎. ‎The obtained soliton solutions are verified through MATHEMATICA‎. ‎At the end‎, ‎the results are also explained through graphs‎. ‎These soliton solutions suggest that these two methods are effective‎, ‎straight forward and reliable as compare to other methods‎. ‎The obtained results can be used in describing the substantial understanding of the studious structures as well as others related non-linear physical structures‎.


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07 Gravitation, Mathematical Physics and Field Theory