Using a generalized translation operator, we obtain a generalization of Theorem 5 in [4] for the Bessel transform for functions satisfying the (delta;gamma ; 2)-BesselLipschitz condition in L_{2;alpha}(R+).  

by using bifurcation theory of planar ordinary differential equations all different bounded travelling wave solutions of the generalized zakharov equation are classified in different parametric regions . in each of these parametric regions the exact explicit parametric representation of all solitary , kink (anti kink) and periodic wave solutions as well as their numerical simulation and thei...

in this paper, modified simple equation method has been applied to ob-tain generalized solutions of burgers, huxley equations and combined forms of these equations. the new exact solutions of these equations have been obtained. it has been shown that the proposed method provides a very effective, and powerful mathematical tool for solving nonlinear partial differential equations.

2014 Some analytical results for the resistively shunted Josephson junction, fed with an ac current in addition to a dc current, are reported. The original nonlinear differential equation for the phase difference of the order parameter is transformed to a linear second order differential equation with periodic coefficients. From this equation the possibility for harmonic current steps and the a...

Many important continuous-time Markov processes — for instance, the Ornstein-Uhlenbeck process and the Bessel processes — can be defined as solutions to stochastic differential equations with drift and diffusion coefficients that depend only on the current value of the process. The general form of such an equation (for a one-dimensional process with a one-dimensional driving Brownian motion) is...

Two classes of rational solutions to a KdV-like nonlinear differential equation are constructed. The basic object is a generalized bilinear differential equation based on a prime number p 1⁄4 3. A conjecture is made that the two presented classes of rational solutions contain all rations solutions to the considered KdV-like equation, which are generated from polynomial solutions to the correspo...