New solitary wave solutions of Maccari system

In this paper, we used the Hirota bilinear method for investigating the third-order evolution equation to determine the soliton-type solutions We probe five cases including lump, lump–kink called the interaction between a lump and one line soliton, lump-soliton called the interaction between a lump and two-line solitons, kinky breather–soliton and finally the stripe soliton function only with exponential solution function The theorem along with the proof for the considered problem is given Moreover, to more investigating the moving velocity, the maximum amplitude and also moving pass function are obtained The existence criteria of these solitons in the unidirectional propagation of long waves over shallow water are also demonstrated Different arbitrary parameters received in the solutions help us to discuss the physical interpretation of solutions that can be linked with a large variety of physical phenomena

Investigating lump and its interaction for the third-order evolution equation arising propagation of long waves over shallow water

We report significant improvement in the magnetoresistive (MR) response of perovskite manganites for small applied fields by the use of heterostructures with soft ferromagnets. At room temperature, a 5900‐fold enhancement of the MR response at 10 Oe in La2/3Ca1/3MnO3 has been achieved using (Mn,Zn)Fe2O4 as the soft ferromagnet. By utilizing soft ferromagnets with various magnetic properties, this technique allows for enormous flexibility in ‘‘designing’’ a desired MR response for the manganites, particularly in low fields.

Enhancing the Low Field Magnetoresistive Response in Perovskite Manganites

In this paper, we use the Hirota bilinear method for investigating the third-order evolution equation to determining the soliton-type solutions. The M lump solutions along with different types of graphs including contour, density, and three- and two-dimensional plots have been made. Moreover, the interaction between 1-lump and two stripe solutions and the interaction between 2-lump and one stripe solutions with finding more general rational exact soliton wave solutions of the third-order evaluation equation are obtained. We give the theorem along with the proof for the considered problem. The existence criteria of these solitons in the unidirectional propagation of long waves over shallow water are also demonstrated. Various arbitrary constants obtained in the solutions help us to discuss the graphical behavior of solutions and also grants flexibility in formulating solutions that can be linked with a large variety of physical phenomena. We further show that the assigned method is general, efficient, straightforward, and powerful and can be exerted to establish exact solutions of diverse kinds of fractional equations originated in mathematical physics and engineering. We have depicted the figures of the evaluated solutions to interpret the physical phenomena.

/pdf/m-lump-and-interaction-between-m-lump-and-n-stripe-for-the-1goprioszk.pdf

M lump and interaction between M lump and N stripe for the third-order evolution equation arising in the shallow water

The pressure waves propagating through an incompressible inviscid fluid that moves in a circular cylindrical long elastic tube are considered. The reductive perturbation method is used to derive the KdV equation from the hydrodynamic equations of the system. The Euler–Lagrange variational technique described by Agrawal has been applied to formulate the time-fractional KdV equation. The derived time-fractional KdV equation is solved by employing the variational-iteration method represented by He. The effects of the tube and fluid parameters and the time fractional order on the propagation of pressure waves are investigated.

Time-fractional effect on pressure waves propagating through a fluid filled circular long elastic tube

In this paper, treating the arteries as a prestressed thin walled elastic tube with a stenosis and the blood as a Newtonian fluid with variable viscosity. Using the perturbation method, the KdV equation with variable coefficients are obtained.With the aid of the coordinate transformation, the reduced equation admits a progressive wave solution with variable wave speed. An extended tanh function method is used with a computerized symbolic computation for constructing the new exact travelling wave solutions of the reduced equation. The main idea of this method is to take full advantage of the Riccati equation which has more new solutions. The variations of radial displacement, fluid pressure with the distance parameter and speed wave are obtained. The method is straightforward and concise and its applications is promising.

/pdf/new-exact-solutions-of-kdv-equation-in-an-elastic-tube-53c5kb2mul.pdf

New Exact Solutions of KdV Equation in an Elastic Tube Filled with a Variable Viscosity Fluid

In this paper sub-equation method with symbolic computational method is used for constructing the new exact travelling wave solutions for some nonlinear evolution equations arising in mathematical physics namely,the WBK, Z-K equation, and coupled nonlinear equa- tions  As a result,the traveling wave solutions are obtained include, solitons, kinks and plane periodic solutions It worthwhile to mention that the proposed method can be applied in fur- ther works to establish more entirely new exact solutions for other kinds of nonlinear evolution equations 

New Exact Travelling Wave Solutions for Some Nonlinear Evolution Equations

The present work is devoted to the microstructure, electrical properties and Raman scattering study of Eu0.65Sr0.35FexMn1-xO3 where (x= 0.1 and 0.5). These compounds were prepared from pure oxides using standard solid state reaction. The final sintering temperature was 1350°C for 72 h. The synthesized semiconductor composites were studied in details in terms of their morphological and structural properties. It crystallizes with orthorhombic system of space group Pbnm. XRD test showed that Eu0.65Sr0.35FexMn1-xO3 where (x= 0.1 and 0.5) that this composite is stable with time. The energy dispersive spectroscopy EDS reveals that the synthesized composites are in proper stiochiometry of the proposed structure. The increase in the grain size with the increase of iron concentration is observed. The DC resistivity dependence on temperature measurements for Eu0.65Sr0.35FexMn1-xO3 show that these compounds have semiconductor behavior with activation energy 0.152 eV for Sample of x=0.1 increase to the value 0.535 eV for the sample x=0.5. The difference in ac resistance between iron concentration; x=0.1 and x=0.5 is very big at low frequency and is very small at high frequency. In the frequency range from 75kHz up to 3MHz dielectric of Eu0.65Sr0.35FexMn1-xO3 shows decrease in the dielectric constant with increasing of frequency of the x=0.1 sample and at frequency 150kHz change in behavior occurred where slight increase in dielectric with increase in frequency. The same behavior observed for the sample x=0.5 but the change point appears at frequency 250kHz. (Asmaa. A. Hendi, I. A. Abdel-Latif and S.A. Saleh. Structure, Electrical and Dielectric Properties of Strontium Europium Ferrimanganites. Journal of American Science2011;7(11):134-140). (ISSN: 1545-1003). http://www.americanscience.org.

/pdf/structure-electrical-and-dielectric-properties-of-strontium-7anxvulmp7.pdf

Structure, Electrical and Dielectric Properties of Strontium Europium Ferrimanganites

Here, Exp-function method with the aid of symbolic computational system Maple is used to for constructing the new exact solutions of some nonlinear evolution equations arising in mathematical physics, namely, coupled Higgs equations and Maccari derived a new integrable (2+1)-dimensional nonlinear system. It is shown that the Exp -function method provides a straightforward and important mathematical tool for nonlinear evolution equations in physics.

/pdf/new-applications-of-exp-function-method-for-solving-a-4taol8eku3.pdf

New Applications of Exp-function Method for Solving A Complex Nonlinear Evolution Equations

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Papers

New Exact Solutions of KdV Equation in an Elastic Tube Filled with a Variable Viscosity Fluid

New Exact Travelling Wave Solutions for Some Nonlinear Evolution Equations

Structure, Electrical and Dielectric Properties of Strontium Europium Ferrimanganites

New Applications of Exp-function Method for Solving A Complex Nonlinear Evolution Equations