We apply the Lie-group formalism and the nonclassical method due to Bluman and Cole to deduce symmetries of the generalized Boussinesq equation, which has the classical Boussinesq equation as an special case. We study the class of functions f(u) for which this equation admit either the classical or the nonclassical method. The reductions obtained are derived. Some new exact solutions can be der...

diffusivity equation commonly used for pressure distribution prediction in porous media results from substituting equation of state and continuity equation in navier-stokes momentum equation. from mathematical point of view this equation format shows infinite propagation speed for pressure pulse through porous media, which is physically impossible. this issue may caused by numerous assumptions ...

In this paper, we intend to solve special kind of ordinary differential equations which is called Heun equations, by converting to a corresponding stochastic differential equation(S.D.E.). So, we construct a stochastic linear equation system from this equation which its solution is based on computing fundamental matrix of this system and then, this S.D.E. is solved by numerically methods. Moreo...

– We use the sharp pulse method to perform numerical experiments aimed at exciting moving high energy strongly localized kink-solitons in the Fermi-Pasta-Ulam chain of anharmonic oscillators. An approximate analytical expression of the kink-soliton is derived. This is compatible with the fact that these objects move with ultrasonic velocities, proportional to stiffness. For low excitation energ...

Kraus and Biedl ( I ) have recently called attention to the similarity which exists between the effects of anaphylactic intoxication and poisoning with Witte's pepton. In both conditions there are produced fall in blood pressure from vascular dilatation, leucopenia, and, in meat-fed dogs, loss of coagulability of the blood. Still more striking is the fact that if the Witte's pepton be injected ...

Glycerin has been employed for a number of years for the conservation of vaccine virus t and other materials of similar nature, e. g., the virus of rabies, clavele, rinderpest, and foot and mouth disease. Its preservative properties for animal and vegetable tissues are also well recognized. It has, however, been employed more as a diluent, particularly in the case of bovine virus, than because ...

won{gil park [won{gil park, j. math. anal. appl., 376 (1) (2011) 193{202] proved the hyers{ulam stability of the cauchy functional equation, the jensen functional equation and the quadraticfunctional equation in 2{banach spaces. one can easily see that all results of this paper are incorrect.hence the control functions in all theorems of this paper are not correct. in this paper, we correctthes...