In this paper, we have described two dreadfully important methods to solve nonlinear partial differential equations which are known as exp-function and the exp(−ϕ(ξ)) -expansion method. Recently, there are several methods to use for finding analytical solutions of the nonlinear partial differential equations. The methods are diverse and useful for solving the nonlinear evolution equations. With the help of these methods, we are investigated the exact travelling wave solutions of the Vakhnenko- Parkes equation. The obtaining soliton solutions of this equation are described many physical phenomena for weakly nonlinear surface and internal waves in a rotating ocean. Further, three-dimensional plots of the solutions such as solitons, singular solitons, bell type solitary wave i.e. non-topological solitons solutions and periodic solutions are also given to visualize the dynamics of the equation.
This paper gathers evidence that market risk varies considerably among companies traded in the Dhaka Stock
Exchange. We find evidence of statistically significant difference in VaR between bias and random portfolios
where a bias portfolio is one that comprise at least two of the five companies in a portfolio from large business
groups while a random portfolio consist of any five companies picked randomly from a given sample. This
renders a lesson for investors in the market, especially who are myopic in nature, that stocks with good
fundamentals are better not only as long term investments but also for gains in the short-run.
Traditional methods of qualifying pressure vessel components to ASME stress and fatigue requirements often involve complex and lengthy calculation processes. The costs of individually analyzing every specified transient can be prohibitive if large numbers of transients are considered, with each one having varied loading conditions acting on the components. In addition, the time dependent nature of real transient loads results in a significant computational and bookkeeping problem. In most cases the analyst uses a number of simplifying and enveloping assumptions to develop stresses to represent all transient conditions. He relies on his experience and judgment to make simplifications with respect to the timing of applied mechanical loads, as well as the relationship between the applied mechanical loads and the timing of the thermal loads. The analyst’s skill governs the length and complexity of the qualification process. The WESTEMS™ Integrated Modeling approach dramatically simplifies this effort and improves analysis accuracy, while reducing the overall time necessary to perform the analysis. WESTEMS™ Integrated Models can reduce the process of analyzing a list of transients defined by global parameter time histories and reporting final design stress and fatigue to a few steps. This paper discusses how WESTEMS™ overcomes the technical difficulties encountered in automating such tasks, and shows the technical superiority of WESTEMS™ over the current traditional methods. It also demonstrates how applying the WESTEMS™ technology to NSSS equipment can reduce engineering life cycle costs.
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