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Ernst Equation


The partial differential equation

 R[u](u_(rr)+(u_r)/r+u_(zz))=u_r^2+u_z^2,

where R[u] is the real part of u (Calogero and Degasperis 1982, p. 62; Zwillinger 1997, p. 131).


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References

Calogero, F. and Degasperis, A. Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations. New York: North-Holland, 1982.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 131, 1997.

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Ernst Equation

Cite this as:

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

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