Browsing by Subject "Exact solutions"
Now showing items 1-6 of 6
-
Classical model of Prandtl's boundary layer theory for radial viscous flow: application of (G'/G)- expansion method
(Eudoxus Press, 2017)In this paper, the exact closed-form solutions of the Prandtl's boundary layer equation for radial ow models with uniform or vanishing mainstream velocity are derived by using the (G'/G)-expansion method. Many new exact ... -
Conservation Laws and Exact Solutions of a Generalized Zakharov Kuznetsov Equation
(Mdpi Ag, 2015)In this paper, we study a generalized Zakharov–Kuznetsov equation in three variables, which has applications in the nonlinear development of ion-acoustic waves in a magnetized plasma. Conservation laws for this equation ... -
Group analysis of a hyperbolic Lane-Emden system
(Elsevier, 2017)In this paper we carry out a complete Noether and Lie group classification of the radial form of a coupled system of hyperbolic equations. From the Noether symmetries we establish the corresponding conserved vectors. We ... -
Lie symmetry analysis, conservation laws and exact solutions of the seventh-order time fractional Sawada-Kotera-Ito equation
(Elsevier, 2016)In this paper Lie symmetry analysis of the seventh-order time fractional Sawada-Kotera-Ito (FSKI) equation with Riemann-Liouville derivative is performed. Using the Lie point symmetries of FSKI equation, it is shown that ... -
Reductions and exact solutions of the (2+1)-dimensional breaking soliton equation via conservation laws
(Springer, 2017)We construct conservation laws for the (2 + 1)-dimensional breaking soliton equation. Thereafter, we employ the definition of the association of symmetries with conservation laws to obtain exact solutions for the (2 + ... -
Symmetries, solutions and conservation laws of a class of nonlinear dispersive wave equations
(Elsevier, 2016)In this paper we consider a damped externally excited Korteweg-de Vries (KdV) equation with a forcing term. We derive the classical Lie symmetries admitted by the equation. We then find that the damped externally excited ...