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OverviewThis is an interdisciplinary monograph at the cutting edges of infinite dimensional dynamical systems, partial differential equations, and mathematical physics. It discusses Y. Charles Li's work of connecting Darboux transformations to homoclinic orbits and Melnikov integrals for integrable partial differential equations; and Artyom Yurov's work in applying Darboux transformations to numerous areas of physics. Of particular interest to the reader might be the brand-new methods, developed by Li in collaboration with others, of using Darboux transformations to construct homoclinic orbits, Melnikov integrals, and Melnikov vectors for integrable systems. It should be noted that integrable systems (also named soliton equations) are the infinite dimensional counterparts of finite dimensional integrable Hamiltonian systems. What the new methods reveal are the infinite dimensional phase space structures. This work is intended for advanced undergraduates, graduate and postdoctoral students, and senior researchers in mathematics, physics, and other relevant scientific areas. Full Product DetailsAuthor: Y. Charles Li , Artyom YurovPublisher: International Press of Boston Inc Imprint: International Press of Boston Inc Volume: 8 ISBN: 9781571462886ISBN 10: 1571462880 Pages: 160 Publication Date: 30 June 2014 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Out of stock The supplier is temporarily out of stock of this item. It will be ordered for you on backorder and shipped when it becomes available. Table of ContentsReviewsAuthor InformationY. Charles Li, Department of Mathematics, University of Missouri, USA Artyom Yurov, Department of Theoretical Physics, Kaliningrad State University, Kaliningrad, Russia Tab Content 6Author Website:Countries AvailableAll regions |