Right Wave Research Articles

Intricate and multiple chirped waves geometric structures solutions of two-mode KdV equation, spectral and stability analysis

In a fluid, when two modes are propagating simultaneously in the same direction with different velocities ([Formula: see text] and [Formula: see text]), they are regarded as first and second modes. The two-mode Korteweg de Vries equation (TMKdVE) has been currently studied in numerous works in the literature. However, the distinction between the two modes was not studied. Here, exact solutions of the TMKdVE are obtained by using the unified method. It is found that each solution depends either on [Formula: see text] or on [Formula: see text]. These solutions are taken to assign to the first mode (FM) and the second mode (SM), respectively. These results are completely new. In this work, attention is focused on investigating the different chirped wave structures. It is shown that intricate, complex and multiple chirped waves in the two modes occur. Furthermore, it is shown that each mode can be seen in two visions: right wave (RW) and left wave (LW). The stability of steady-state solution is analyzed, where it is found that it is stable against varying the velocity [Formula: see text]. While when varying the velocity [Formula: see text], it is unstable when [Formula: see text] and stable when [Formula: see text]. The properties of the waves, the characteristic wavelength, frequency, traveling speed and spectrum content are shown graphically.

A Problemática da Sustentabilidade do Estado Ante o Bem Comum e sua Interferência nos Direitos do Século XXI

This article aims at examining one of the State’s greatest problems: sustainability. throughout this paper we will try to draw a critical point of view on the concept of commonwealth. This paper is relevant due to the demand for rights, which is a theme of the 21th Century. The explanation for the emergence of this new wave of rights is the State’s attempt to meet the demands of the several groups arising and to show that Law alone is sufficient to affect the commonwealth, while reality shows something different.

Importance of wash riding in kayaking training and competition.

The use of different wash-riding techniques is common during kayak training and competition. Changes in wash-riding positions could imply a different exercise intensity. The aim of this study, therefore, was to quantify the energy savings made when a kayaker is "wash riding." Eight male international flat water kayakers, who performed a field test of 2000 m in each of the four wash-riding positions, head (H), right wave (RW), left wave (LW), and end position (V), were studied. The data investigated were: time, stroke rate, blood lactate (BL), heart rate (HR), and rate of perceived exertion (RPE). Under laboratory conditions kayakers performed the same intensity of exercise in a kayak ergometer, and HR, oxygen uptake (VO2), BL, mean power output (W), and RPE were measured. The results show significant differences (P < 0.05) among H, RW/LW, and V. The mean values for BL (P < 0.05) were 4.2, 2.0, 2.2, and 1.5 mmol.L-1, for H, RW, LW, and V, respectively. RPE also revealed differences, with values of 15, 12.6, 12.6, and 9.7 for H, RW, LW, and V, respectively. Mean power output gave values of 190.3 (H), 155.6 (RW and LW), and 129.5 (V) W. HR was different between H and V (172 and 151), while stroke rate was different among the parameters H, RW, and V (93.7, 88.8, and 87.6, respectively). The VO2 in the kayak ergometer test showed a difference between H and V (3.78 and 2.23 L.min-1). We conclude that "wash riding" involves a saving in energy cost of between 18% and 31.9%, depending on the position. This conclusion is of importance for the quantification and calibration of kayak training and competition.