In mathematics, the Calogero–Degasperis–Fokas equation is the nonlinear partial differential equation
u
t
=
u
x
x
x
−
1
8
u
x
3
+
u
x
(
A
e
u
+
B
e
−
u
)
.
{\displaystyle \displaystyle u_{t}=u_{xxx}-{\frac {1}{8}}u_{x}^{3}+u_{x}\left(Ae^{u}+Be^{-u}\right).}
This equation was named after F. Calogero , A. Degasperis , and A. Fokas .
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