In this paper, the (G′/G)-expansion method is applied to seek traveling wave solutions of the combined and the double combined sinh-cosh-Gordon equations. This traveling wave solutions are expressed by the hyperbolic functions and the trigonometric functions. It is shown that the proposed method is direct, effective and more general. 2000 Mathematics Subject Classification: 35K01; 35J05.

By using Schauder’s Fixed Point Theorem, we study the existence of traveling wave fronts for reaction-diffusion systems with spatio-temporal delays. In our results, we reduce the existence of traveling wave fronts to the existence of an admissible pair of upper solution and lower solution which are much easier to construct in practice.

Thermoacoustic (TA) heat engines are engines which convert heat into acoustic power. This relatively new class of heat engines gains commercial interest, because of their low number of moving parts and high potential efficiency [1]. Especially traveling wave thermoacoustic engines are capable of reaching this high efficiency, because traveling wave engines perform a thermodynamic cycle similar ...

We prove that if a solution of an equation of KdV type is bounded above by a traveling wave with an amplitude that decays faster than a given linear exponential then it must be zero. We assume no restrictions neither on the size nor in the direction of the speed of the traveling wave.

We explore numerically different aspects of periodic traveling-wave solutions of the Camassa–Holm equation. In particular, the time evolution of some recently found new traveling-wave solutions and the interaction of peaked and cusped waves is studied. 2005 Elsevier Ltd. All rights reserved.

Lubrication equations for a surfactant-driven flow of a thin layer of fluid are considered with a singular surfactant-dependent surface tension. It is shown that there exists a bounded traveling wave solution which connects a fully surfactant-coated film to an uncoated film. The regularity of the traveling wave depends on whether or not surface diffusion of the insoluble surfactant is included.

By using the bifurcation theory of planar dynamical systems to a class of nonlinear evolution equations, the existence of traveling wave solutions is showed. Under different parametric conditions, various sufficient conditions to guarantee the existence of the above solutions are given. Explicit exact parametric representations of some traveling wave solutions are obtained.

A tunable transmitter featuring an SG-DBR laser is integrated with an undercut-etched, high impedance traveling-wave EAM. This device demonstrates 40 Gbps operation with >8.5 dB extinction over 25 nm tuning with 2.1 V drive. c © 2008 Optical Society of America OCIS codes: (140.3600) Tunable lasers; (230.4110) Modulators; (230.4205) MQW modulators; (230.7020) Traveling-wave devices

and Applied Analysis 3 (a) (b) Figure 1: Sharp-type traveling wave fronts. (a) Monotonic increasing. (b) Monotonic decreasing. (a) (b) Figure 2: Smooth-type traveling wave fronts. (a) Monotonic increasing. (b) Monotonic decreasing. Clearly, for any given φ > 0, if

This paper presents the design of a Rotary Traveling Wave Oscillator (RTWO) at 85GHz. The oscillator can be useful in imaging applications. It is implemented in 65nm commercial CMOS technology. The total area of the oscillator is 0.185x0.185 mm. The total power consumption is 25 mA out of 1.5 V supply. Keywords-Rotary Traveling Wave Oscillator, Imaging Applications, Distributed Oscillators ____...