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Sinh-Gordon Equation


The partial differential equation

 u_(xt)=sinhu,

which contains u_(xt) instead of u_(xx)-u_(tt) and sinhu instead to sinu, as in the sine-Gordon equation (Grauel 1985; Zwillinger 1997, p. 135).


See also

Sine-Gordon Equation, Sinh-Poisson Equation

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References

Grauel, A. "Sinh-Gordon Equation, Painlevé Property and Bäcklund Transformation." Physica A 132, 557-568, 1985.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, p. 135, 1997.

Referenced on Wolfram|Alpha

Sinh-Gordon Equation

Cite this as:

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

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