We construct analytical solutions for a system composed of a reaction-diffusion equation coupled with a purely diffusive equation. The question is to know if the traveling wave solutions of the reaction-diffusion equation can generate a traveling wave for the diffusion equation. Our motivation comes ...
Interference, in physics, the net effect of the combination of two or more wave trains moving on intersecting or coincident paths. The effect is that of the addition of the amplitudes of the individual waves at each point affected by more than one wave.
Principle of superposition, in wave motion, the principle that when two or more waves overlap in space, the resulting disturbance is equal to the algebraic sum of the individual disturbances. This principle holds for many different kinds of waves, such a
Mechanical Waves Mechanical waves are called mechanical waves because they cannot propagate without a medium such as air, water, or earth.Mechanical waves transfer energyback and forth from the medium they are traveling through, and there are three different types of mechanical waves: ...
Reflection of Waves A wave is characterized as a disturbance or variation that propagates energy between two points. The direction that the wave is traveling between the two points is called the direction of propagation. There are many different types of waves, including:...
functionoftimeandposition.Theconstantvisthe wave’svelocityinthexdirection. Foraderivationofthewaveequation,seehttp://hyperphysics.phy- astr.gsu.edu/hbase/waves/waveq.html--Physics! SincethewaveequationisalinearsecondorderPDE,givenanytwotwice-differentiable ...
All of these solutions represent modified traveling waves. The obtained solutions include expressions involving Airy functions, Bessel functions, Whittaker functions, and generalized hypergeometric functions. Previously unknown conservation laws are constructed for the generalized Zakharov equations using the ...
frequency range of different sources. Visible light is really electromagnetic radiation, and travels as a wave across a range of higher frequencies than the waves considered so far. For example, violet light has a frequency of about f = 7.5 × 1014Hz; what is the period of the wave...
So, the wavelength of the sound wave is 17.0 m. Example 2 Suppose a motorboat makes waves while traveling across the surface of the lake. Also, the waves travel towards the shores at a velocity of 1.50 m/s. Furthermore, the distance between the wave crests is 2.0 m. So, calculate the...
Periodic motion, in physics, motion repeated in equal intervals of time. Periodic motion is performed, for example, by a rocking chair, a bouncing ball, a vibrating tuning fork, a swing in motion, the Earth in its orbit around the Sun, and a water wave.