(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

psi(x,y)= Asin((ax^2)-(by^2))

Does this expression represent a traveling wave? If so what is the direction and speed of the wave?

2. Relevant equations

This wave resembles a a harmonic wave.

psi(x,t)= Asin(kx-wt+phi)

3. The attempt at a solution

Ok, A,a,b are constants. I do not think this expression represents a traveling wave because the argument of the sin function is to the second order. For an expression to represent a traveling wave does the expression have to be to the first order, or only a certain part of the expression.

1. sin(x+y)^2

2. sin^2(x+y) does these represent traveling waves?

1 has the argument squared. if we multiply out the argument is no longer linear, and thus not a traveling wave?

2 has the entire function squared, is this a traveling wave?

What are some characteristics of traveling waves, mathematically?

Thank you.

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# Homework Help: How can i tell if an expression represents a traveling wave?

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