2014 Paperback (ISBN 9781571462886)

2014 Paperback (ISBN 9781571462886)

Surveys of Modern Mathematics

Volume 8

Lie-Bäcklund-Darboux Transformations

Y. Charles Li (Department of Mathematics, University of Missouri)

Artyom Yurov (Department of Theoretical Physics, Kaliningrad State University, Kaliningrad, Russia)

Published: 24 April 2014

Publisher: International Press of Boston, Inc.

Language: English

Paperback

160 pages

List Price: $58.00

Description

This 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.

This volume is part of the Surveys of Modern Mathematics book series.

Publications

Pub. Date

ISBN-13

ISBN-10

Medium

Binding

Size, Etc.

Status

List Price

2014 Apr

9781571462886

1571462880

Print

paperback

7” x 10”

In Print

US$58.00

Website copyright © by International Press of Boston, Inc. All rights reserved.

This page last updated: 2014 Jun 27 5:00 pm EST.