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Browsing by Author "Muhammad, Lawal"

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    Article
    Citation Count: Park, Choonkil...et al. (2020). "Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg-de Vries equations". ADVANCES IN DIFFERENCE EQUATIONS. Vol: 2020, No: 1.
    Novel hyperbolic and exponential ansatz methods to the fractional fifth-order Korteweg-de Vries equations
    (2020) Park, Choonkil; Nuruddeen, R., I; Ali, Khalid K.; Muhammad, Lawal; Osman, M. S.; Baleanu, Dumitru; 56389
    This paper aims to investigate the class of fifth-order Korteweg-de Vries equations by devising suitable novel hyperbolic and exponential ansatze. The class under consideration is endowed with a time-fractional order derivative defined in the conformable fractional derivative sense. We realize various solitons and solutions of these equations. The fractional behavior of the solutions is studied comprehensively by using 2D and 3D graphs. The results demonstrate that the methods mentioned here are more effective in solving problems in mathematical physics and other branches of science.
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    Article
    Citation Count: Alharthi, Mohammed Shaaf...et.al. (2022). "The dynamical behavior for a famous class of evolution equations with double exponential nonlinearities", Journal of Ocean Engineering and Science, pp.1-7.
    The dynamical behavior for a famous class of evolution equations with double exponential nonlinearities
    (2022) Alharthi, Mohammed Shaaf; Baleanu, Dumitru; Ali, Khalid K.; Nuruddeen, R.I.; Muhammad, Lawal; Aljohani, Abdulrahman F.; Osman, M.S.; 56389
    An analytical investigation for a famous class of evolution equations with double exponential nonlinearities that has vast applications in many nonlinear sciences is presented. These equations include the Tzitzéica Equation (TE), Dodd-Bullough-Mikhailov Equation (DBME), Tzitzéica-Dodd-Bullough-Mikhailov equation (TDBME) and the Peyrard Bishop DNA Equation (PB-DNA-E). Furthermore, the Kudryashov method for constructing exponential function solutions has been employed to reveal various sets of traveling wave solutions with different geometrical structures to the identified models. We also give the graphical illustrations of certain solutions to further analyze the results.