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Johnson's Equation

The partial differential equation

partial/(partialx)(u_t+uu_x+1/2u_(xxx)+u/(2t))+(3alpha^2)/(2t^2)u_(yy)=0

which arises in the study of water waves.

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References

Infeld, E. and Rowlands, G. Nonlinear Waves, Solitons, and Chaos, 2nd ed. Cambridge, England: Cambridge University Press, p. 284, 1990.

Referenced on Wolfram|Alpha

Johnson's Equation

Cite this as:

Weisstein, Eric W. "Johnson's Equation." From MathWorld--A Wolfram Web Resource. https://mathworld.wolfram.com/JohnsonsEquation.html

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