Benjamin-Bona-Mahony Equation

The partial differential equation


(Benjamin et al. 1972; Arvin and Goldstein 1985; Zwillinger 1997, p. 130). A generalized version is given by

 u_t-del ^2u_t+div(phi(u))=0

(Goldstein and Wichnoski 1980; Zwillinger 1997, p. 132).

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Arvin, J. and Goldstein, J. A. "Global Existence for the Benjamin-Bona-Mahony Equation in Arbitrary Dimensions." Nonlinear Anal. 9, 861-865, 1985.Benjamin, T. B.; Bona, J. L.; and Mahony, J. J. "Model Equations for Long Waves in Nonlinear Dispersive Systems." Philos. Trans. Roy. Soc. London Ser. A 272, 47-48, 1972.Goldstein, J. A. and Wichnoski, B. J. "On the Benjamin-Bona-Mahony Equation in Higher Dimensions." Nonlinear Anal. 4, 665-675, 1980.Zwillinger, D. Handbook of Differential Equations, 3rd ed. Boston, MA: Academic Press, pp. 130 and 132, 1997.

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Benjamin-Bona-Mahony Equation

Cite this as:

Weisstein, Eric W. "Benjamin-Bona-Mahony Equation." From MathWorld--A Wolfram Web Resource.

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