id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
r494vh56970	Erika A. Olson	The Initial Value Problem for Two Nonlinear Evolution Equations	2008		.txt	text/plain	141	3	31	For the higher-order modification of the Camassa-Holm equation under consideration, we show that the non-periodic initial value problem is locally well posed for initial data in Sobolev spaces of index s greater than s' where s' is greater than or equal to 1/4 and less than 1/2 and the value of s' depends on the order of equation. We consider the initial value problem for two nonlinear evolution equations, first, the hyperelastic rod equation, which, under a certain choice of parameter, coincides with the Camassa-Holm equation and second, a higher-order modification of the Camassa-Holm equation.	cache/r494vh56970.txt	txt/r494vh56970.txt