Alam, Md NurTunc, Cemil2025-05-102025-05-1020201110-01682090-267010.1016/j.aej.2020.01.0542-s2.0-85079895609https://doi.org/10.1016/j.aej.2020.01.054https://hdl.handle.net/20.500.14720/7031Alam, Prof. Dr. Md. Nur/0000-0001-6815-678XThe present paper employs the space-time fractional nonlinear Bogoyavlenskii equation and Schrodinger equation. We perform a new method to take some new solitary wave phenomena for each equation. Those solutions can explain through hyperbolic, trigonometric and rational func-tions. The graphical design makes the dynamics of the equations noticeable. Herein, the intended approach is simplistic, conventional, and convenient in implementing many solitary wave phenom-ena of several nonlinear fractional wave equations occurring in mathematical physics and engineer-ing as well. (C) 2020 The Authors. Published by Elsevier B.V. on behalf of Faculty of Engineering, Alexandria University. This is an open access article under the CC BY-NC-ND license (http://creativecommons.org/ licenses/by-nc-nd/4.0/).eninfo:eu-repo/semantics/openAccessJumarie'S Modified Riemann-Liouville DerivativeNew MethodThe (2 + 1)-Dimensional Time Fractional Schrodinger EquationThe Space-Time Nonlinear Conformable Fractional Bogoyavlenskii EquationsExact SolutionsThe New Solitary Wave Structures for the (2Article594Q1Q122212232WOS:000563769700016