Zobrazeno 1 - 10
of 20
pro vyhledávání: '"M. F. El-Sabbagh"'
Autor:
K. R. Abdo, M. F. El-Sabbagh
Publikováno v:
International Journal of Scientific Engineering and Technology. 4:165-171
In this paper, the study of evolution equations with two independent variables which are related to pseudospherical surfaces in R 3 , is extended to evolution equations with more than two independent variables. Equations of the type
Publikováno v:
IOSR Journal of Mathematics. 10:61-68
In this paper, we establish exact solutions for some nonlinear partial differential equations. The hyperbolic-sine method [16] is used to construct periodic and solitary wave solutions for some soliton equations and systems such as the generalized Kl
Publikováno v:
IOSR Journal of Mathematics. 10:15-21
In this paper we present the Painleve test for the (1+1) -dimensional travelling regularized long wave (TRLW) equation, the (2+1)-dimensional Boiti-Leon-Manna-Pempinelli (BLMP) equation, the modified improved Kadomtsev-Petviashvili equation (MIKP) an
Autor:
Ahmad T. Ali, M. F. El-Sabbagh
Publikováno v:
Communications in Theoretical Physics. 56:611-616
The determining equations for the nonclassical symmetry reductions of nonlinear partial differential equations with arbitrary order can be obtained by requiring the compatibility between the original equations and the invariant surface conditions. Th
Autor:
M. F. El-Sabbagh, Ahmad T. Ali
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 13:1758-1766
A new generalized Jacobi elliptic function expansion method is described and used for constructing many new exact travelling wave solutions for nonlinear partial differential equations (PDEs) in a unified way. We obtain many new Jacobi and Weierstras
Publikováno v:
Communications in Nonlinear Science and Numerical Simulation. 12:1153-1161
The isovector fields (infinitesimal generators of Lie groups) of Einstein vacuum equations for stationary axially symmetric rotating fields, in conventional form, that is a coupled system of nonlinear partial differential equations (PDEs) of second o
Publikováno v:
IMA Journal of Applied Mathematics. 72:86-95
Hydrodynamic stability of plane Couette flow of an upper convected Maxwell fluid is investigated in presence of a transverse magnetic field assuming that the magnetic Prandtl number is sufficiently small. The resulting equation is a modified Orr-Somm
Publikováno v:
Fluid Dynamics Research. 38:699-715
The effect of transverse magnetic field on the stability of plane Poiseuille and Couette flow between two parallel flat plates is investigated for Oldroyd-B fluid. The classical Orr–Sommerfeld analysis is extended to electrically conducting fluid f
Publikováno v:
Physica Scripta. 50:321-325
We study the instanton and anti-instanton solutions of the P2 model in two dimensions. We consider in more details one and two instanton solutions. A system containing instantons and anti-instantons is also considered. For each case, the Lagrangian d
Prolongation structures, Bäcklund transformations and conservation laws for thesusy U(N) sigma-model
Autor:
M. F. El-Sabbagh, R. A. Zait
Publikováno v:
Il Nuovo Cimento B Series 11. 109:547-552
A prolongation structure for the components of the supersymmetricU(N) sigma model is constructed using the differential geometric prolongation technique of Wahlquist-Estabrook. Also, linear systems, Backlund transformations and conservation laws for