this paper presents time domain fundamental solutions for the extended biot's dynamic formulations of two-dimensional (2d) unsaturated poroelasticity. unsaturated porous media is considered as a porous media in which the voids are saturated with two immiscible fluids, i.e. liquid and gas. at first, the corresponding explicit laplace transform domain fundamental solution is obtained in term...

in this paper, the coupled dispersive (2+1)-dimensional long wave equation is studied. the traveling wave hypothesis yields complexiton solutions. subsequently, the wave equation is studied with power law nonlinearity where the ansatz method is applied to yield solitary wave solutions. the constraint conditions for the existence of solitons naturally fall out of the derivation of the soliton so...

We nd an exact pp{gravitational wave solution of the fourth order gravity eld equations. The sourceless version of it is not a vacuum solution of General Relativity. It represents the contribution of the massive, m = (?) ?1=2 , spin{ two eld associated to the Ricci squared term in the gravitational Lagrangian. We generalize this analysis to D{dimensions, extended sources, and higher than fourth...

In this paper we investigate the exact peroidic wave shock solutions of the Burgers equations. Our purpose is to describe the asymptotic behavior of the solution in the cauchy problem for viscid equation with small parametr ε and to discuss in particular the case of periodic wave shock. We show that the solution of this problem approaches the shock type solution for the cauchy problem of the in...

The present article deals with the study of propagation of plane waves in isotropic generalized thermoelastic diffusion with voids under initial stress. It is found that, for two dimensional model of isotropic generalized thermoelastic diffusion with voids under initial stress, there exists four coupled waves namely, P wave, Mass Diffusion (MD) wave, thermal (T) wave and Volume Fraction (VF) wa...

In this letter, we established a traveling wave solution by using cosine function algorithm for Gardnerequation and (2+1)-dimensional breaking soliton system. The cosine method is used to obtain theexact solution.

Liu et al. (1987) proposed a theoretical solution for scattering of waves through a permeable dissipation region. On the basis of bulk dissipation of the incident wave energy, this method is extended to evaluate the reflection and transmission coefficients of waves through a wave filter composed of rows of perforated sheets aligned normally to the direction of wave propagation. The results of t...

women’s issues are among basic issues of contemporary society which have been offered different solutions. while the first- wave feminists would insist on the gender equality, the second wave would emphasize that women differ from men. the third wave tried to hold on to both sides of the conundrum: equality and difference. iris marion young is one of the theorists of the third wave of feminism ...

In this study, we aim to construct a traveling wave solution for nonlinear partial differential equations. In this regards, a cosine-function method is used to find and generate the exact solutions for three different types of nonlinear partial differential equations such as general regularized long wave equation (GRLW), general Korteweg-de Vries equation (GKDV) and general equal width wave equ...

because of fluctuation in leg tension, pitch motion is very effective fatigue and life safety of leg elements in tension leg structures (tlss). in this paper an exact solution for pitch vibration of a tls interacting with ocean wave is presented. the legs of tlp are considered as elastic springs. the flow is assumed to be irrotational and single-valued velocity potentials are defined. the effec...