Papers by Emad Abdelsalam
Mathematical Problems in Engineering, 2013
The fractional Riccati expansion method is proposed to solve fractional differential equations. T... more The fractional Riccati expansion method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, space-time fractional Korteweg-de Vries equation, regularized long-wave equation, Boussinesq equation, and Klein-Gordon equation are considered. As a result, abundant types of exact analytical solutions are obtained. These solutions include generalized trigonometric and hyperbolic functions solutions which may be useful for further understanding of the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time. The periodic and kink solutions are founded as special case.
The International Conference on Mathematics and Engineering Physics, 2010
In this paper, with the help of the Lucas Riccati method and a linear variable separation method,... more In this paper, with the help of the Lucas Riccati method and a linear variable separation method, new variable separation solutions with arbitrary functions are derived for a (2+1)dimensional modified dispersive water-wave system. Next, we give a positive answer for the following question: Are there any localized excitations derived by the use of another functions? For this purpose, some attention will be paid to dromion, peakon, dromion lattice, multi dromion-solitoff excitations, regular fractal dromions, lumps with self-similar structures and chaotic dromions patterns based on the golden main and the symmetrical hyperbolic and triangular Lucas functions.
Journal of Applied Mathematics, 2012
With the help of the generalized hyperbolic function, the subsidiary ordinary differential equati... more With the help of the generalized hyperbolic function, the subsidiary ordinary differential equation method is improved and proposed to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Liu equation are investigated and the exact solutions are derived with the aid of the homogenous balance principle and generalized hyperbolic functions. We study the effect of the generalized hyperbolic function parameterspandqin the obtained solutions by using the computer simulation.
Mathematical Problems in Engineering, 2011
With the help of the generalized Jacobi elliptic function, an improved Jacobi elliptic function m... more With the help of the generalized Jacobi elliptic function, an improved Jacobi elliptic function method is used to construct exact traveling wave solutions of the nonlinear partial differential equations in a unified way. A class of nonlinear Schrödinger-type equations including the generalized Zakharov system, the Rangwala-Rao equation, and the Chen-Lee-Lin equation are investigated, and the exact solutions are derived with the aid of the homogenous balance principle.
Science of The Total Environment
Photovoltaic (PV) systems are regarded as clean and sustainable sources of energy. Although the o... more Photovoltaic (PV) systems are regarded as clean and sustainable sources of energy. Although the operation of PV systems exhibits minimal pollution during their lifetime, the probable environmental impacts of such systems from manufacturing until disposal cannot be ignored. The production of hazardous contaminates, water resources pollution, and emissions of air pollutants during the manufacturing process as well as the impact of PV installations on land use are important environmental factors to consider. The present study aims at developing a comprehensive analysis of all possible environmental challenges as well as presenting novel design proposals to mitigate and solve the aforementioned environmental problems. The emissions of greenhouse gas (GHG) from various PV systems were also explored and compared with fossil fuel energy resources. The results revealed that the negative environmental impacts of PV systems could be substantially mitigated using optimized design, development of novel materials, minimize the use of hazardous materials, recycling whenever possible, and careful site selection. Such mitigation actions will reduce the emissions of GHG to the environment, decrease the accumulation of solid wastes, and preserve valuable water resources. The carbon footprint emission from PV systems was found to be in the range of 14-73 g CO2-eq/kWh, which is 10 to 53 orders of magnitude lower than emission reported from the burning of oil (742 g CO2-eq/kWh from oil). It was concluded that the carbon footprint of the PV system could be decreased further by one order of magnitude using novel manufacturing materials. Recycling solar cell materials can also contribute up to a 42% reduction in GHG emissions. The present study offers a valuable management strategy that can be used to improve the sustainability of PV manufacturing processes, improve its economic value, and mitigate its negative impacts on the environment.
By introducing the Lucas-Riccati method and a linear variable separation method, new variable sep... more By introducing the Lucas-Riccati method and a linear variable separation method, new variable separation solutions with arbitrary functions are derived for a (2+1)-dimensional modified dispersive water-wave system. The main idea of this method is to express the solutions of this system as polynomials in the solution of the Riccati equation that the symmetrical Lucas functions satisfy. From the variable separation
Mathematical Problems in Engineering, 2015
The fractional mapping method is proposed to solve fractional differential equations. To illustra... more The fractional mapping method is proposed to solve fractional differential equations. To illustrate the effectiveness of the method, we discuss the space-time fractional combined KdV-mKdV equation. Many types of exact analytical solutions are obtained. The solutions include generalized trigonometric and hyperbolic functions solutions. These solutions are useful to understand the mechanisms of the complicated nonlinear physical phenomena and fractional differential equations. Among these solutions, some are found for the first time.
Ain Shams Engineering Journal, 2015
Based on the improved generalized exp-function method, the space-time fractional Burgers and Shar... more Based on the improved generalized exp-function method, the space-time fractional Burgers and Sharma-Tasso-Olver equations were studied. The single-wave, double-wave, threewave and four-wave solution discussed. With the best of our knowledge, some of the results are obtained for the first time. The improved generalized exp-function method can be applied to other fractional differential equations.
offers a fast publication for novel and frontier nonlinear sciences. It encourages the submission... more offers a fast publication for novel and frontier nonlinear sciences. It encourages the submission of new research on: 1. New nonlinear phenomena(no mathematical analysis is needed). 2. New mathematical models (differential model, fractal model, fractional differential model, differential-difference model , fuzzy model, stochastic model, and others) for various nonlinear problems. 3. New methods (analytical method, numerical method, optimization method, statistical method, allometric method, and others) for nonlinear equations. Generally one example should be given, sometimes only the solution procedure is enough. 4. New interpretation of a nonlinear phenomenon or a new solution of a nonlinear equation. 5. New theories for explanation of any nonlinear problems Although the journal concentrates mainly on Letters within 6 pages, mini-review articles within 20 pages are invited by the Editor and will be published from time to time.
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Papers by Emad Abdelsalam