Example of A Breather Solution For The Sine-Gordon Equation
The sine-Gordon equation is the nonlinear dispersive partial differential equation
with the field u a function of the spatial coordinate x and time t.
An exact solution found by using the inverse scattering transform is:
which, for ω < 1, is periodic in time t and decays exponentially when moving away from x = 0.
Read more about this topic: Breather
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