Unnormalized modified KdV equation

The unnormalized modified Korteweg–de Vries (KdV) equation is an integrable nonlinear partial differential equation：^[1]

${\displaystyle u_{t}+u_{xxx}+\alpha u^{2}u_{x}=0\,}$

where ${\displaystyle \alpha }$ is an arbitrary (nonzero) constant. See also

This is a special case of the Gardner equation.

References

• Graham W. Griffiths, William E. Shiesser Traveling Wave Analysis of Partial Differential Equations, Academy Press

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