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Construction of rogue waves and conservation laws of the complex coupled Kadomtsev–Petviashvili equation
(World Scientific Publishing, 2020)
In this work, the solutions of the real coupled Kadomtsev–Petviashvili equations (KPEs) are obtained and they are used to find the ones of the complex system. To this end, the extension theorem is used. The formation of ...
Mathematical modeling for adsorption process of dye removal nonlinear equation using power law and exponentially decaying kernels
(Journal Citation Reports, 02.03.2020)
In this research work, a new time-invariant nonlinear mathematical model in fractional (non-integer) order settings has been proposed under three most frequently employed strategies of the classical Caputo, the Caputo–Fabrizio, ...
New lump, lump-kink, breather waves and other interaction solutions to the (3+1) - dimensional soliton equation
(China Physical Science & Technology, 27.03.2020)
This study investigates the (3+1)-dimensional soliton equation via the Hirota bilinear approach and symbolic computations. We successfully construct some new lump, lump-kink, breather wave, lump periodic, and some other ...
Invariant and simulation analysis to the time fractional Abrahams - Tsuneto reaction diffusion system
(IOP Publishing, 2019)
In this work, symmetry analysis and numerical approximations to the time fractional Abrahams–Tsuneto reaction diffusion system (ATRDS) are discussed. We obtain point symmetries, similarity variables, similarity transformation ...
A new fractional HRSV model and its optimal control: A non-singular operator approach
(Elsevier, 20.12.2019)
In the current work, a fractional version of SIRS model is extensively investigated for the HRSV disease involving a new derivative operator with Mittag-Leffler kernel in the Caputo sense (ABC). The fixed-point theory is ...
On three-dimensional variable order time fractional chaotic system with nonsingular kernel
(Elsevier, 10.01.2020)
We use the Adams-Bashforth-Moulton scheme (ABMS) to determine the approximate solution of a variable order fractional three-dimensional chaotic process. The derivative is defined in the fractional sense of variable order ...
On the use of mohand integral transform for solving fractional - order classical caputo differential equations
(Czestochowa University of Technology, 2020)
In this research study, a newly devised integral transform called the Mohand transform has been used to find the exact solutions of fractional-order ordinary differential equations under the Caputo type operator. This ...
Synchronization of a non-equilibrium four-dimensional chaotic system using a disturbance-observer-based adaptive terminal sliding mode control method
(MDPI AG, 27.02.2020)
In this paper, dynamical behavior and synchronization of a non-equilibrium four-dimensional chaotic system are studied. The system only includes one constant term and has hidden attractors. Some dynamical features of the ...
Fractional modeling for the spread of Hookworm infection under Caputo operator
(Elsevier B.V., 16.05.2020)
It is estimated that, about one billion people mostly from Asia, Sub-Saharan Africa and Latin America are infected with the Hookworm infection. In this paper, we developed and analyzed a model for the transmission dynamics ...
Families of exact solutions of Biswas-Milovic equation by an exponential rational function method
(Tbilisi Centre for Mathematical Sciences, 30.12.2019)
In this paper, we introduce generalized exponential rational function method (GERFM) to obtain an exact solutions for the Biswas-Milovic (BM) equation with quadratic-cubic and parabolic nonlinearities. A wide range of ...
