Quaternion-Valued Rational Solutions to the KdV Equation

Simple item page
dc.contributor.authorSerna, Albert
dc.date.accessioned2019-06-04T19:04:26Z
dc.date.available2019-06-04T19:04:26Z
dc.date.updated2019-06-04T19:04:26Z
dc.description.abstractIn this Master's Thesis we look at the KdV equation in a non-commutative setting. While the study of the KdV equation in non-commutative settings is not in and of itself new, we focus specifically on the quaternions. We construct the quaternion-valued rational solutions of the KdV Equation given any element of Φ of an infinite dimensional vector space V. The main result of this paper shows that any solution produced from an element of V could be produced using an element chosen from the proper subspace V' of V.
dc.identifier.urihttp://hdl.handle.net/123456789/3730
dc.language.rfc3066en
dc.titleQuaternion-Valued Rational Solutions to the KdV Equation
Files
Collections
Electronic Theses