We study the stability of traveling wave solutions to a fifth-order water wave model. By solving a constrained minimization problem we show that “ground state” traveling wave solutions exist. Their stability is shown to be determined by the convexity or concavity of a function d(c) of the wave speed c. The analysis makes frequent use of the variational properties of the traveling waves.

INTRODUCTION The first ultrasonic motor was developed by V.V. TYPES OF ULTRASONIC MOTOR ULTRASONIC MOTOR STANDING TRAVELLING WAVE TYPE. Www.slideworld.com www.pdf-searchengine.com. X2022 The first ultrasonic motor was introduce by v.v lavrinko in 1965.x2022 An. Ultrasonic motor Standing Traveling wave wavebidirectional unidirectional 8. Rakesh R.standing wave piezoelectric linear ultrasonic mot...

This paper is concerned with the existence of traveling wave solutions in delayed reaction diffusion systems which at least contain multi-species competition, cooperation and predator-prey models with diffusion and delays. By introducing the mixed quasimonotone condition and the exponentially mixed quasimonotone condition, we reduce the existence of traveling wave solutions to the existence of ...

ABSTRACT Mathematical modeling of many physical systems leads to nonlinear evolution equations because most physical systems are inherently nonlinear in nature. The investigation of traveling wave solutions of nonlinear partial differential equations (NPDEs) plays a significant role in the study of nonlinear physical phenomena. In this article, we construct the traveling wave solutions of modif...

“This paper had its origins in a summer of 1956 project to build 1,420 mc low noise traveling wave tubes for use as preamplifiers in the Caltech radio telescope. The tubes that I built had measured noise figures that were much worse than the predicted theoretical minimum of six db. I used the standard low noise tube design formulae, which had been previously demonstrated to result in tubes that...

A type of coupled map lattice (CML) is considered in this paper. What we want to do is to define the form of a traveling wave solution and to reveal its existence. Due to the infinite property of the problem, we have tried the periodic case, which can be dealt with on a finite set. The main approach for our study is the implicit existence theorem. The results indicate that if the parameters of ...

A method is presented for decomposing wave motion into its principle components. The basic idea is a complex generalization of proper orthogonal decomposition. The method involves the representation of real oscillatory signals as complex analytic signals. The relationship between complex modes and wave motion is explored. From an ensemble of complex signals, a complex correlation matrix is form...

This paper is concerned with the traveling wave solutions of delayed reaction– diffusion systems. By using Schauder’s fixed point theorem, the existence of traveling wave solutions is reduced to the existence of generalized upper and lower solutions. Using the technique of contracting rectangles, the asymptotic behavior of traveling wave solutions for delayed diffusive systems is obtained. To i...

Traveling Wave Tubes (TWTs) are microwave and millimeter wave amplifiers used in radar, satellite communications, and electronic countermeasure applications. On a satellite, the TWT provides the final communications signal boost before transmitting the signal back to earth. In electronic countermeasures, TWTs boost signals that are sent out to deny detection by an enemy radar. The TWT, as with ...