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Last updated: Mon Jan 5 2009

Created, developed, and nurtured by Eric Weisstein
at Wolfram Research
Calculus and Analysis > Differential Equations > Partial Differential Equations >

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.

REFERENCES:

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




CITE THIS AS:

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

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