An expansion method based on time fractional Sine-Gordon equation is implemented to construct some real and complex valued exact solutions the Korteweg-de Vries modified equations in forms. Compatible traveling wave transform plays a key role be able apply homogeneous balance technique set predicted solution. The relation between trigonometric hyperbolic functions allows form with multiplicatio...

The method of undetermined coefficients is commonly applied to solve linear, constant coefficient, non-homogeneous ordinary differential equations when the forcing function from a selected class functions. Often hyperbolic sine and cosine functions are not explicitly included in this list Through set guided examples, work argues that ought be select Careful explanation provided for necessary tr...

In this paper, the (2+1)-dimensional q-deformed Sinh-Gordon model has been investigated via (G?G,1G)-expansion and Sine-Gordon-expansion methods. These techniques successfully retrieve trigonometric as well hyperbolic solutions, along necessary restricted conditions applied on parameters. addition to these dark solitons complexiton solutions have also obtained. The proposed equation expands pos...

in this work, we successfully construct the new exact traveling wave solutions ofthe generalized sinh–gordon equation by new application of the homogeneousbalance method. the idea introduced in this paper can be applied to othernonlinear evolution equations.

The new class of wrought γ-γ/ Co-base superalloys, which are based on Co-Al-W system,  was developed by conventional hot working routes with a high volume fraction of γ/ precipitates and good mechanical properties. The aim of the present study was to predict the flow stress and hot deformation modeling of a novel γ-γ/ Co-base superalloy. The hot compression test...

Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon equation has already been proposed by previous studies, but the equation and the solutions obtained...

Based on the recently introduced fractional Taylor’s formula, a fractional heat conduction constitutive equation is formulated by expanding the single-phase lag model using the fractional Taylor’s formula. Combining with the energy balance equation, the derived fractional heat conduction equation has been shown to be capable of modeling diffusion-to-Thermal wave behavior of heat propagation by ...

Inequalities connecting inverse circular and inverse hyperbolic functions are obtained. Also, bounds for the inverse hyperbolic sine function are established. Some of the results presented in this paper are derived from the inequalities satisfied by particular bivariate means which belong to the family of the Schwab-Borchardt means. Mathematics subject classification (2010): Primary: 26D07; Sec...