The Kaup–Kupershmidt equation (named after David J. Kaup and Boris Abram Kupershmidt) is the
nonlinear
In mathematics and science, a nonlinear system (or a non-linear system) is a system in which the change of the output is not proportional to the change of the input. Nonlinear problems are of interest to engineers, biologists, physicists, mathe ...
fifth-order
partial differential equation
In mathematics, a partial differential equation (PDE) is an equation which involves a multivariable function and one or more of its partial derivatives.
The function is often thought of as an "unknown" that solves the equation, similar to ho ...
:
It is the first equation in a hierarchy of
integrable equations with the
Lax operator
:
.
It has properties similar (but not identical) to those of the better-known
KdV hierarchy in which the Lax operator has order 2.
References
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External links
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Partial differential equations
Integrable systems
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