Browsing by Author "Eslami, M."

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Citation Count: Osman, M. S...et al. (2020). "Double-wave solutions and Lie symmetry analysis to the (2+1)-dimensional coupled Burgers equations", Chinese Journal of Physics, Vol. 63, pp. 122-129.
Double-wave solutions and Lie symmetry analysis to the (2+1)-dimensional coupled Burgers equations
(2020) Osman, M. S.; Baleanu, Dumitru; Adem, A. R.; Hosseini, K.; Mirzazadeh, M.; Eslami, M.; 56389
This paper investigates the (2 + 1)-dimensional coupled Burgers equations (CBEs) which is an important nonlinear physical model. In this respect, by making use of the generalized unified method (GUM), a series of double-wave solutions of the (2 + 1)-dimensional coupled Burgers equations are derived. The Lie symmetry technique (LST) is also utilized for the symmetry reductions of the (2 + 1)-dimensional coupled Burgers equations and extracting a non-traveling wave solution. Through some figures, we discussed the wave structures of the double-wave solutions of the CBEs for different values of parameters in these solutions.
Citation Count: Hosseini, K...et al. (2020). "Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation", Alexandria Engineering Journal, Vol. 59, No. 5, pp. 3473-3479.
Multiwave, multicomplexiton, and positive multicomplexiton solutions to a (3 + 1)-dimensional generalized breaking soliton equation
(2020) Hosseini, K.; Seadawy, Aly R.; Mirzazadeh, M.; Eslami, M.; Radmehr, S.; Baleanu, Dumitru; 56389
There are a lot of physical phenomena which their mathematical models are decided by nonlinear evolution (NLE) equations. Our concern in the present work is to study a special type of NLE equations called the (3 + 1)-dimensional generalized breaking soliton (3D-GBS) equation. To this end, the linear superposition (LS) method along with a series of specific techniques are utilized and as an achievement, multiwave, multicomplexiton, and positive multicomplexiton solutions to the 3D-GBS equation are formally constructed. The study confirms the efficiency of the methods in handling a wide variety of nonlinear evolution equations. © 2020 Faculty of Engineering, Alexandria University