On the KdV Equation with Hysteresis

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DOI: 10.4236/wjm.2011.11001    5,015 Downloads   10,797 Views  Citations

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ABSTRACT

This paper discusses the generalized play hysteresis operator in connection with the KdV equation. Results from the nonlinear semigroup theory are applied to assure the existence and uniqueness. The KdV equation with hysteresis is reduced to a system of differential inclusions and solved.

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M. Ionescu, L. Munteanu and V. Chiroiu, "On the KdV Equation with Hysteresis," World Journal of Mechanics, Vol. 1 No. 1, 2011, pp. 1-5. doi: 10.4236/wjm.2011.11001.

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