A modified (G′/G)-expansion method is proposed to construct exact solutions of nonlinear evolution equations. To illustrate the validity and advantages of the method, the (3+1)-dimensional potential Yu-Toda-Sasa-Fukuyama (YTSF) equation is considered and more general travelling wave solutions are obtained. Some of the obtained solutions, namely hyperbolic function solutions, trigonometric funct...

In this paper, we study a new modified Novikov equation for its classical and nonclassical symmetries and use the symmetries to reduce it to a nonlinear ordinary differential equation (ODE). With the aid of solutions of the nonlinear ODE by using the modified (G′/G)-expansion method proposed recently, multiple exact traveling wave solutions are obtained and the traveling wave solutions are expr...

In this paper, the Exp-function method is used to seek generalized solitonary solutions of Riccati equation. Based on the generalized solitonary solutions of Riccati equation, some new exact solutions of the the classical Drinfel’d-Sokolov-Wilson equation are obtained by F-expansion method. It is shown that the F-expansion method combined with Expfunction method (F-Exp method) provides a straig...

In this paper we present a refined version of the Newton polygon process to compute the Puiseux expansions of an algebraic function defined over the rational function field. We determine an upper bound for the bitcomplexity of computing the singular part of a Puiseux expansion by this algorithm, and use a recent quantitative version of Eisenstein’s theorem on power series expansions of algebrai...

An efficient automatic quadrature procedure is developed for numerically computing the integrals 0 , where the function is smooth and nonoscillatory at infinity and is the Bessel functions of order ν =1,0 and 1/4. The procedure involves the use of an automatic integration scheme of modified FFT used for evaluating Fourier integrals and product type integration, and the modified W-transformation...

to identify the horticultural of plant parasitic nematodes in northern khorasan province, 170 soil and plant root samples were collected during different seasons of years 2009 and 2010. nematodes were extracted through centrifugal-flotation method, specimens then being fixed according to modified seinhorst method and transferred to glycerin before making measurements (de grisse, 1969). througho...

in this article we decide to define a modified homotopy perturbation for solving non-linear integral equations. almost, all of the papers that was presented to solve non-linear problems by the homotopy method, they used from two non-linear and linear operators. but we convert a non-linear problem to two suitable non-linear operators also we use from appropriate bases functions such as legendre ...

      In order to enhance in vitro dissolution and content uniformity of poorly soluble drug glimepiride by preparing solid dispersions using modified solvent fusion method, solid dispersions of drug were prepared by modified fusion solvent method using PEG 6000 and PVP K25 (as carrier). Eight batches (F1-F8) were prepared by Factorial design (23) by taking three ...