In this paper, the modified simplest equation method is successfully implemented to find travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation. This method is direct, effective and easy to calculate, and it is a powerful mathematical tool for obtaining exact travelling wave solutions of the generalized forms $B(n,1)$ and $B(-n,1)$ of Burgers equation and ...

bin size is one of the fundamental and key parameters in 3d land seismic operation design and has an important role in the determination and calculation of other design parameters. therefore, optimization of this parameter is vital. in this study a new method for optimization of the bin size has been used. the optimization algorithm is linear and based on a mathematical model. due to the relati...

in this work g'/g-expansion method has been employed to solve (2+1)-dimensional dispersive long wave equation. it is shown that g'/g-expansion method, with the help of symbolic computation, provides a very effective and powerful mathematical tool, for solving this equation.

A mathematical method for calculation of the minimum cross-sectional area of a thickener is presented by obtaining minimum laboratory batch settling test data, a function, which is called settling function, is derived. This function is found to be in the form of a polynomial of third order. The settling function and mass flux relation are used for the design of thickener. The method predict...