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22.674  Articles
1 of 2.268 pages  |  10  records  |  more records»
In this research, we introduce and represent the modified Khater method on two basic models in the optical fiber. These two models describe the dynamics of the wave movement in the optical fiber.  It is a new modification of new recent method which d... see more

In this paper, we employ the extended tanh function method to nd the exact traveling wave solutions involving parameters of the symmetric regularized long- wave equation. When these parameters are taken to be special values, the solitary wa... see more

In this study, an extended method is implemented to nd traveling wave solutions of two integro partial dierential equations. The exact particular solutions containing hyperbolic function type are obtained. By using symbolic computation it is shown that th... see more

In this article, we established new travelling wave solutions for the loaded Benjamin-Bona-Mahony and the loaded modified Benjamin-Bona-Mahony equation by the functional variable method. The performance of this method is reliable and effective and gives t... see more

Reaction-diffusion models were used in dynamic fluid, population growth, pulse propagation in nerves and other biological phenomena. Some of these models have been expanded to describe memory effects in diffusion and therefore with the use of hyperbolic e... see more

Nonlinear traveling waves of the Klein-Gordon equation with cubic nonlinearity are considered. These waves are described by the nonlinear ordinary differential equation of the second order having the energy integral. Linearized equation for variation obta... see more

Particular solutions of the Burgers equations (BE) with zero boundary conditions are investigated in an analytical form. For values of the shape parameter  greater than 1, but approximately equal to 1, the amplitude of the initial periodic perturbati... see more

We investigate the stability of traveling wave solutions of the one-dimensional supercooled Stefan problem and other related problem. A complete characterization of the set of initial data under which the free boundary is asymptotic to a traveling wave fr... see more

An exact derivation from three-dimensional elasticity of a model equation for the longitudinal vibrations of a cylindrical elastic rod is presented, based on the results of [1]. Similarities and differences are discussed with the model of [2], whose study... see more

1 of 2.268 pages  |  10  records  |  more records»