in this paper, a boussinesq equation is solved by using the adomian's decomposition method, modified adomian's decomposition method and homotopy analysis method. the approximate solution of this equation is calculated in the form of series which its components are computed by applying a recursive relation. the existence and uniqueness of the solution and the convergence of the propose...

Applying properties of the Laplace transform, the transient heat diffusion equation can be transformed into a fractional (extraordinary) differential equation. This equation can then be modified, using the Fourier Law, into a unique expression relating the local value of the time-varying temperature (or heat flux) and the corresponding transient heat flux (or temperature). We demonstrate that t...

The nonlinear Schrödinger equation with a third-order dispersive term is considered. Infinite families of embedded solitons, parameterized by the propagation velocity, are found through a gauge transformation. By applying this transformation, an embedded soliton can acquire any velocity above a certain threshold value. It is also shown that these families of embedded solitons are linearly stabl...

The uptake of arsenic by plants from contaminated soils presents a health hazard that may affect home gardeners neighboring contaminated environments. A controlled greenhouse study was conducted in parallel with a co-created citizen science program (home garden experiment) to characterize the uptake of arsenic by common homegrown vegetables near the Iron King Mine and Humboldt Smelter Superfund...

OBJECTIVES The aim of this study was to follow psychophysiological stress over a year with four repeated measurements in full-time employed high school teachers and to compare their results with those obtained in the part-time retired teachers, gardeners and rescue workers. MATERIALS AND METHODS The subjects consisted of 17 (10 females, 7 males) full-time and 9 part-time employed teachers (7 ...

We consider propagating, spatially localized waves in a class of equations that contain variational and nonvariational terms. The dynamics of the waves is analyzed through a collective coordinate approach. Motivated by the variational approximation, we show that there is a natural choice of projection onto collective variables for reducing the governing (nonlinear) partial differential equation...

In the hope for more sustainable agriculture and a stronger connection to their food, an increasing number of consumers participate in alternative food networks (AFNs) characterised by short supply chains. However, it cannot be assumed that AFNs inherently transform prevailing system its respective practices around food. Thus, we apply social innovation perspective enable comprehensive analysis...

The objective of this research is to develop the data for durian resources with a collection system via web-based and development geographic information systems resource management, local wisdom Thai gardeners by designing implement in same database system, then presenting southern Thailand linking visualization map. In research, method designed using System Development Life Cycle (SDLC), which...