In this paper, we employ extended tanh-function method and the (G0 G )-expansion method to find the exact traveling wave solutions involving parameters of nonlinear evolution equation Modified Liouville equation and comparison between this two method and another method which have been solved it. When these parameters are taken to be special values, the solitary wave solutions are derived from t...

Based on Codeço's cholera model (2001), an epidemic cholera model that incorporates the pathogen diffusion and disease-related death is proposed. The formula for minimal wave speed c (∗) is given. To prove the existence of traveling wave solutions, an invariant cone is constructed by upper and lower solutions and Schauder's fixed point theorem is applied. The nonexistence of traveling wave solu...

A simple model is studied for the chemotactic movement of biological cells in the presence of a periodic chemical wave. It incorporates the feature of adaptation that may play an important role in allowing for “rectified” chemotaxis: motion opposite the direction of wave propagation. The conditions under which such rectification occurs are elucidated in terms of the form and speed of the chemic...

The purpose of this paper is to study traveling wave fronts of a two-dimensional (2D) lattice delayed differential equation with global interaction. Applying the comparison principle combined with the technical weighted-energy method, we prove that any given traveling wave front with large speed is time-asymptotically stable when the initial perturbation around the wave front need decay to zero...

Equalization of satellite communication using complex-bilinear recurrent neural network (C-BLRNN) is proposed. Since the BLRNN is based on the bilinear polynomial, it can be used in modeling highly nonlinear systems with time-series characteristics more effectively than multilayer perceptron type neural networks (MLPNN). The BLRNN is first expanded to its complex value version (C-BLRNN) for dea...

This is the first annual report on a project to achieve a linear amplifier capable of an output power of 100 W with over 60% efficiency, and over a multi-octave frequency range covering X-band. Field effect transistors are being employed, including AlGaN/GaN MODFET's and GaN vertical current flow static induction transistor (SIT's). These devices are capable of an order of magnitude more operat...

A new wireless communication system denoted as Multi-Code Multi-Carrier CDMA (MC-MC CDMA), which is the combination of Multi-Code CDMA and Multi-Carrier CDMA, is analyzed in this paper. This system can satisfy multi-rate services using multi-code schemes and muti-carrier services used for high rate transmission. The system is evaluated using Traveling Wave Tube Amplifier (TWTA). This type of am...

We have presented a new hyperbolic auxiliary function method for obtaining traveling wave solutions of nonlinear partial differential equations. Applying this, exact traveling wave solutions for the coupled Sine-Gordon equations are constructed.

Introduction At high magnetic field strengths, travelling wave MRI can be used to solve the standing wave problem of volume resonators [1]. However, travelling wave MRI suffers from electromagnetic field-attenuation and high whole body energy deposition (SAR), so that only the distal parts of the body can be imaged. In this work we introduce a new travelling wave RF coil. The coil guides the tr...

This paper presents a new function expansion method for finding traveling wave solution of a non-linear equation and calls it the ( G′ G ) -expansion method. The shallow water wave equation is reduced to a non linear ordinary differential equation by using a simple transformation. As a result the traveling wave solutions of shallow water wave equation are expressed in three forms: hyperbolic so...