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Ninth-order dispersive advection equation

For

ϕ_{t} + U ϕ_{x} + \frac{1}{9} ϕ_{xxxxxxxxx} = 0,

the dispersion relation is

ω = U k + k^{9} /9

, so

c_{p} = U + k^{8} /9

and

c_{g} = U + k^{8}

.

 Ancestors (8)