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Heisenberg Ferromagnet Equation


The Heisenberg ferromagnet equation is the system of partial differential equations

 S_t=SxS_(xx),

where S=S(x,t) is a unit vector in R^3, subscripts denote partial derivatives, and the product is the cross product.


See also

Quantum Heisenberg Ferromagnet

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References

Calogero, F. and Degasperis, A. Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations, Vol. 1. New York: North-Holland, p. 56, 1982.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 138, 1997.

Referenced on Wolfram|Alpha

Heisenberg Ferromagnet Equation

Cite this as:

Weisstein, Eric W. "Heisenberg Ferromagnet Equation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HeisenbergFerromagnetEquation.html

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