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Veselov-Novikov Equation

The system of partial differential equations

(partial_t+partial_z^3+partial_(z^_)^3)v+partial_z(uv)+partial_(z^_)(vw)
(1)
partial_(z^_)u=3partial_zv
(2)
partial_zw=3partial_(z^_)v,
(3)

where z^_ is the complex conjugate of z.

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References

Bogdanov, L. V. "Veselov-Novikov Equation as a Natural Two-Dimensional Generalization of the Korteweg-de Vries Equation." Theor. Math. Phys. 70, 219-233, 1987.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 139, 1997.

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Veselov-Novikov Equation

Cite this as:

Weisstein, Eric W. "Veselov-Novikov Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/Veselov-NovikovEquation.html

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