Periodic Solutions to One-Dimensional Wave Equation with Piece-Wise Constant Coefficients

Periodic Solutions to Nonlinear One Dimensional Wave Equation with X -dependent Coefficients

This paper deals with t-periodicity and regularity of solutions to the one dimensional nonlinear wave equation with x-dependent coefficients

Some new exact traveling wave solutions one dimensional modified complex Ginzburg- Landau equation

‎In this paper‎, ‎we obtain exact solutions involving parameters of some nonlinear PDEs in mathmatical physics; namely the one-‎dimensional modified complex Ginzburg-Landau equation by using the $ (G'/G) $ expansion method‎, homogeneous balance method, extended F-expansion method‎. ‎By ‎using homogeneous balance principle and the extended F-expansion, more periodic wave solutions expressed by j...

A High Order Approximation of the Two Dimensional Acoustic Wave Equation with Discontinuous Coefficients

This paper concerns with the modeling and construction of a fifth order method for two dimensional acoustic wave equation in heterogenous media. The method is based on a standard discretization of the problem on smooth regions and a nonstandard method for nonsmooth regions. The construction of the nonstandard method is based on the special treatment of the interface using suitable jump conditio...

Analytical solutions to one-dimensional advection–diffusion equation with variable coefficients in semi-infinite media

0022-1694/$ see front matter 2009 Elsevier B.V. A doi:10.1016/j.jhydrol.2009.11.008 * Corresponding author. Address: P-12, New Med 221005, India. Tel.: +91 9450541328. E-mail addresses: [email protected], naveen@ In the present study one-dimensional advection–diffusion equation with variable coefficients is solved for three dispersion problems: (i) solute dispersion along steady flow through...

Travelling Wave Solutions of the One Dimensional Diffusion-reaction Equation