Seventh-order Korteweg–de Vries equation

The seventh-order KdV equation is a nonlinear partial differential equation in 1+1 dimensions related to the KdV equation.[1] It is defined by the formula

u_{t}+6uu_{x}+u_{xxx}-u_{xxxxx}+\alpha u_{xxxxxxx}=0.

where $x$ and $t$ are real variables and $\alpha$ is a constant.

References

Andrei D. Polyanin,Valentin F. Zaitsev, Handbook of Nonlinear Partial Differential Equations, Second Edition, SECOND EDITION p. 1040 CRC PRESS

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