Please note: In order to keep Hive up to date and provide users with the best features, we are no longer able to fully support Internet Explorer. The site is still available to you, however some sections of the site may appear broken. We would encourage you to move to a more modern browser like Firefox, Edge or Chrome in order to experience the site fully.

Lie-Backlund-Darboux Transformations, Paperback / softback Book

Lie-Backlund-Darboux Transformations Paperback / softback

Part of the Surveys of Modern Mathematics series

Paperback / softback


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.



Free Home Delivery

on all orders

Pick up orders

from local bookshops