In this paper Lie’s formalism is applied to deduce classes of solutions of a nonlinear partial differential equation (nPDE) of second order with quadratic nonlinearity. The equation has the meaning of a field equation appearing in the formulation of kinetic models. Similarity solutions and transformations are given in a most general form derived to the first time in terms of reciprocal Jacobian...

This note shows that every positive solution to the following third order non–autonomous max-type difference equation

The goal of this paper is to calculate of order reduction of the KdV typeequation and the non-isospectral KdV type equation using the μ-symmetrymethod. Moreover we obtain μ-conservation law of the non-isospectral KdVtype equation using the variational problem method.

Kinetics of oxidation of L-valine (Val) by manganese(III) pyrophosphate has been studied as a function of pH (0.94-1.90) at 313 K. The reaction shows a first-order dependence of rate each on [Mn(III)] and [Val], a fractional-order on [H], and an inverse fractional-order each on [Na4P2O7] and [Mn(II)]. Effects on the rate of anions, such as [F], [Cl] and [ClO4], and the dielectric constant of th...

Dissociation and doubly differential cross sections are calculated for N1N2 at near-threshold collision energies using a semiclassical wave packet method in which the vibrational motion of the molecule is treated quantum mechanically and the rotational and translational motions are treated classically. A three-bodied London–Eyring–Polanyi–Sato potential energy surface is used and results compar...