Open AccessExact solutions for nonlinear integro-partial differential equations using the generalized Kudryashov method
Author(s) -
Khaled A. Gepreel,
Taher A. Nofal,
Ameara A. Alasmari
Publication year - 2017
Publication title -
journal of the egyptian mathematical society
Language(s) - English
Resource type - Journals
eISSN - 2090-9128
pISSN - 1110-256X
DOI - 10.1016/j.joems.2017.09.001
Subject(s) - mathematics , nonlinear system , hierarchy , construct (python library) , partial differential equation , soliton , differential equation , simple (philosophy) , traveling wave , mathematical analysis , computer science , physics , philosophy , epistemology , quantum mechanics , economics , market economy , programming language
In this research, we construct the traveling wave solutions for some nonlinear evolution equations in mathematical physics. New solutions such as soliton solutions are found. The method used is the generalized Kudryashov method (GKM). We apply the method successfully to find the exact solutions of the following nonlinear integro-partial differential equations: the (1â¯+â¯1)-dimensional integro-differential Ito equation, (2â¯+â¯1)-dimensional integro-differential SawadaâKotera equation and two members of integro-differential KadomtsevâPetviashvili (KP) hierarchy equations. These equations have numerous important applications in mathematical physics as well as in engineering. This method is efficient, powerful and simple. Keywords: The (1+1)-dimensional integro-differential Ito equation, The (2+1)-dimensional integro-differential SawadaâKotera equation, Two members of integro-differential KadomtsevâPetviashvili (KP) hierarchy equations, Generalized Kudryashov metho