Boussinesq Equation

The linear Boussinesq equation is the partial differential equation


(Whitham 1974, p. 9; Zwillinger 1997, p. 129). The nonlinear Boussinesq equation is


(Calogero and Degasperis 1982; Zwillinger 1997, p. 130). The modified Boussinesq equation is


(Clarkson 1986; Zwillinger 1997, p. 132).

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Calogero, F. and Degasperis, A. Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations. New York: North-Holland, 1982.Clarkson, P. A. "The Painlevé Property, a Modified Boussinesq Equation and a Modified Kadomtsev-Petviashvili Equation." Physica D 19, 447-450, 1986.Whitham, G. B. Linear and Nonlinear Waves. New York: Wiley, 1974.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, pp. 129-130, 1997.

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Boussinesq Equation

Cite this as:

Weisstein, Eric W. "Boussinesq Equation." From MathWorld--A Wolfram Web Resource.

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