Wave Structures for Nonlinear Schrodinger Types Fractional Partial Differential Equations Arise in Physical Sciences

Engineering International

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Title Wave Structures for Nonlinear Schrodinger Types Fractional Partial Differential Equations Arise in Physical Sciences
Creator Nahar, Mst. Nasrin
Islam, Md. Tarikul
Kar, Diganta Broto
Subject The rational ( )-expansion method
wave variable transformation
nonlinear fractional partial differential equation
analytic solution
Description Nonlinear partial differential equations are mostly renowned for depicting the underlying behavior of nonlinear phenomena relating to the nature of the real world. In this paper, we discuss analytic solutions of fractional-order nonlinear Schrodinger types equations such as the space-time fractional nonlinear Schrodinger equation and the (2+1)-dimensional time-fractional Schrodinger equation. The considered equations are converted into ordinary differential equations with the help of wave variable transformation and then the recently established rational ( )-expansion method is employed to construct the exact solutions. The obtained solutions have appeared in the forms of a trigonometric function, hyperbolic function, and rational function which are compared with those of literature and claimed to be different. The graphical representations of the solutions are finally brought out for their physical appearances. The applied method is seemed to be efficient, concise, and productive which might be used for further research.
Mathematics Subject Classifications: 35C08, 35R11
Publisher Asian Business Consortium
Date 2021-07-30
Type info:eu-repo/semantics/article
Format application/pdf
Identifier https://abc.us.org/ojs/index.php/ei/article/view/560
Source Engineering International; Vol. 9 No. 2 (2021): July - December Issue; 101-110
Language eng
Relation https://abc.us.org/ojs/index.php/ei/article/view/560/1062
Rights Copyright (c) 2021 Mst. Nasrin Nahar, Md. Tarikul Islam, Diganta Broto Kar

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