solitary wave solutions to the broer-kaup equations and approximate long water wave equa-tions are considered challenging by using the rst integral method.the exact solutions obtainedduring the present investigation are new. this method can be applied to nonintegrable equa-tions as well as to integrable ones.

This paper presents a brief instructions to nd geodesics equa-tions on two dimensional surfaces in R3. The resulting geodesic equations are solved numerically using Computer Program Matlab, the geodesics are dis-played through Figures.

A math e mat i cal model rep re sent ing tem per a ture and mois ture con tent in bread dur ing bak ing is de vel oped. The model em ploys the cou pled par tial dif fer en tial equa tions pro posed by Luikov. Dependences of mass and ther mal prop er ties of dough on tem per a ture and mois ture con tent are in cluded in the model. Re sult ing sys tem of non-lin ear par tial dif fer en tial equa...

Abstract. In this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized Haar functions. For this purpose, the properties of hybrid of rationalized Haar functions are presented. In addition, the operational matrix of the fractional integration is obtained and is utilized to convert compu...

This paper proposes a new approach for determining efficient DMUs in DEA models using inverse optimi-zation and without solving any LPs. It is shown that how a two-phase algorithm can be applied to detect effi-cient DMUs. It is important to compare computational performance of solving the simultaneous linear equa-tions with that of the LP, when computational issues and complexity analysis are a...

A persistence theorem for xed points of a parameterized family of maps is specialized to give a method for detecting the existence of persistent periodic solutions of perturbed systems of di erential equa tions in particular systems of weakly coupled planar oscillators An application is make to the problem of synchronization of two detuned and weakly inductively coupled van der Pol oscillators

In this paper we discuss the problem of calculating the reach able states of a dynamical system de ned by ordinary di erential equa tions or inclusions We present a prototype system for approximating this set and demonstrate some experimental results

abstract. in this paper, we implement numerical solution of differential equations of frac- tional order based on hybrid functions consisting of block-pulse function and rationalized haar functions. for this purpose, the properties of hybrid of rationalized haar functions are presented. in addition, the operational matrix of the fractional integration is obtained and is utilized to convert compu...

This paper presents an iterative blind channel estimation algorithm that exploits the parity check equations of a channel code. While with conventional pilots prior data knowledge is used to estimate the channel, the idea here is to exploit prior knowledge of the parity check equations of the code. Furthermore, if an asymmetric code is used, the inherent phase ambiguity of blind systems is avoi...