Now showing items 1-4 of 4
Damped parametric oscillator and exactly solvable complex Burgers equations
(IOP Publishing, 2012)
We obtain exact solutions of a parametric Madelung fluid model with dissipation which is linearazible in the form of Schrödinger equation with time variable coefficients. The corresponding complex Burgers equation is solved ...
Q-Shock soliton evolution
By generating function based on Jackson's q-exponential function and the standard exponential function, we introduce a new q-analogue of Hermite and Kampe-de Feriet polynomials. In contrast to q-Hermite polynomials with ...
The convergence of a new symmetric iterative splitting method for non-autonomous systems
(Taylor & Francis, 2012-09)
The iterative splitting methods have been extensively applied to solve complicated systems of differential equations. In this process, we split the complex problem into several sub-problems, each of which can be solved ...
The discrete (G′/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system
We introduce the discrete (G′/G)-expansion method for solving nonlinear differential-difference equations (NDDEs). As illustrative examples, we consider the differential-difference Burgers equation and the relativistic ...