Exact Solutions For Partial Differential Equations

Exact Solutions For Partial Differential Equations. Taiwo Babatunde

Author: Taiwo Babatunde
Publisher: LAP Lambert Academic Publishing
Original Languages: English
Format: Paperback::180 pages, ePub, Digital Audiobook
ISBN10: 3659893234
ISBN13: 9783659893230
Dimension: 150x 220x 11mm::284g

Download: Exact Solutions For Partial Differential Equations

The handbook [2] contains many more equations and solutions than those presented in this section of EqWorld. The EqWorld website presents extensive information on solutions to various classes of ordinary differential equations,partial differential equations,integral equations,functional equations,and other mathematical equations. This book presents the various algebraic techniques for solving partial differential equations to yield exact solutions, techniques developed the author in recent years and with emphasis on physical equations such as: the Maxwell equations, the Dirac equations, the KdV equation, the KP equation, the nonlinear Schrodinger equation, the Davey and Stewartson equations, the Boussinesq equations Abstract: In this study some traveling wave solutions of the Zakharov equation and coupled Higgs field equation are obtained using reduction method. Exact solutions for nonlinear integro-partial differential equations using the (,)-expansion method Ameana Awad Al-Sekhary Master student, Mathematics Department, Faculty of Science, Taif University, Taif, Saudi Arabia. Khaled A. Gepreel Associate Professor, Mathematics Department, Faculty of Science, Zagazig University, Zagazig, Egypt. Exact solutions of some nonlinear partial differential equations using the variational iteration method linked with Laplace transforms and the Pade technique Tamer A. Abassya, Magdy A. El-Tawilb,,H. El-Zoheiryb aDepartment of Basic Science, Benha Higher Institute of Technology, Benha University, 13512, Egypt is called an exact differential equation if there exists a function of two Solution. The given equation is exact because the partial derivatives are the same. Abstract. The functional variable method is a powerful solution method for obtaining exact solutions of some nonlinear partial differential equations. In this paper Coupled nonlinear partial differential equations describing the spatio-temporal Key words: Exact Travelling Wave Solutions; Nonlinear Physical Models; IJRRAS 9 (3) December 2011 El-Borai & al. Solutions for Nonlinear Partial Differential Equations 362 d 2 0 otherwise. Cos,P S O P[ [[E f (5) where O,P and E are parameters to be determined, and c are the wave number and the wave speed, respectively method is proposed to construct exact solutions of some nonlinear partial differential equations in mathematical physics via the generalized Zakharov equations, the coupled Maccaris equations, the (2+1)-dimensional Wu-Zhang equations and the (1+1) dimensional Fornberg Whitham equation in terms of the In this article, we use the fractional complex transformation to convert nonlinear partial fractional differential equations to nonlinear ordinary differential equations 1167 1175. PARTIAL DIFFERENTIAL EQUATIONS Exact Solutions of a Second-Order Nonlinear Partial Differential Equation A. I. Aristov Lomonosov Moscow 2014 (English)In: WSEAS Transactions on Mathematics, ISSN 1109-2769, E-ISSN 2224-2880, ISSN E-ISSN 2224-2880, Vol. 13, p. In this paper, we propose a new fractional sub-equation method for finding exact solutions of fractional partial differential equations (FPDEs) in Develop and implement symbolic algorithms to compute exact solu- tions of nonlinear (systems) of partial differential equations (PDEs). First example of solving an exact differential equation.,minus 1, times y prime, is equal to 0. Well, your brain is already, hopefully, in exact differential equations mode. But if you were to see this pattern in general, where you see a function of x and y, here - this is just some function of x and y - and then you have another function Hasimoto, Hidenori. Exact solution of a certain semi-linear system of partial differential equations related toa migrating predation problem. Proc. Japan Acad. New Exact Solutions of Some Nonlinear Partial Differential Equations via the Hyperbolic-sine Function Method M.F. El-Sabbagh, R. Zait and R.M. Abdelazeem Mathematics Department, Faculty of science, Minia university, Egypt. Abstract: In this paper, we establish exact solutions for some nonlinear partial differential equations. The Title, Methods for constructing exact solutions of partial differential equations:mathematical and analytical techniques with applications to engineering. differential equations have been investigated. In this paper, using a new fractional sub-equation, we propose a new generalized fractional sub-equation method named fractional (DαG G) method to seek exact solutions for fractional partial differential equations in the sense of modiﬁed Riemann-Liouville derivative. Developing analytical methods for solving fractional partial differential equations (FPDEs) is an active area of research. Especially finding exact solutions of FPDEs is a challenging task. Differential equations, especially nonlinear, present the most effective way for describing complex physical processes. Methods for constructing exact solutions In this work, we extend the existing local fractional Sumudu decomposition method to solve the nonlinear local fractional partial differential equations. Then, we

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