Boussinesq Equation
المؤلف:
Calogero, F. and Degasperis, A
المصدر:
Spectral Transform and Solitons: Tools to Solve and Investigate Nonlinear Evolution Equations.New York: North-Holland, 1982.
الجزء والصفحة:
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12-7-2018
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Boussinesq Equation
The linear Boussinesq equation is the partial differential equation
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(1)
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(Whitham 1974, p. 9; Zwillinger 1997, p. 129). The nonlinear Boussinesq equation is
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(2)
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(Calogero and Degasperis 1982; Zwillinger 1997, p. 130). The modified Boussinesq equation is
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(3)
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(Clarkson 1986; Zwillinger 1997, p. 132).
REFERENCES:
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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