Dispersive long wave of nonlinear fractional Wu-Zhang system via a modified auxiliary equation method
Source abstract
Abstract
In this paper, we examine a modified auxiliary equation method. We applied this novel method on Wu-Zhang system. This model used to describe (1 + 1)-dimensional dispersive long wave in two horizontal directions on shallow waters. This model is one of the fractional nonlinear partial differential equations. We used conformable derivatives properties to convert nonlinear fractional partial differential equation into the ordinary differential equation with integer order. We obtained many different kinds of solutions such as kink and anti-kink, dark, bright, shock, singular, periodic solitary wave.
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Research context
OpenAlex topics: Nonlinear Waves and Solitons · Nonlinear Photonic Systems · Fractional Differential Equations Solutions
SciVX discovery tags are terminology-based. OpenAlex topics are source-provided classifications.
Affiliations
Department of Mathematics, Faculty of Science, Jiangsu University 1 , 212013, China
Department of Basic Science, Higher Technological Institute 10th of Ramadan City 2 , El Sharqia 44634, Egypt
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