Higher-Order Equations of the KdV Type are Integrable
نویسنده
چکیده
We show that a nonlinear equation that represents third-order approximation of long wavelength, small amplitude waves of inviscid and incompressible fluids is integrable for a particular choice of its parameters, since in this case it is equivalent with an integrable equation which has recently appeared in the literature. We also discuss the integrability of both secondand third-order approximations of additional cases.
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