Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations

• Опубліковано в: : Symmetry, Integrability and Geometry: Methods and Applications
• Дата: 2013
• Автори: Dimakis, A., Müller-Hoissen, F.
• Формат: Стаття
• Мова: English
• Опубліковано: Інститут математики НАН України 2013
• Онлайн доступ: https://nasplib.isofts.kiev.ua/handle/123456789/149219
• Назва журналу: Digital Library of Periodicals of National Academy of Sciences of Ukraine
• Цитувати: Binary Darboux Transformations in Bidifferential Calculus and Integrable Reductions of Vacuum Einstein Equations / A. Dimakis, F. Müller-Hoissen // Symmetry, Integrability and Geometry: Methods and Applications. — 2013. — Т. 9. — Бібліогр.: 80 назв. — англ.

We present a general solution-generating result within the bidifferential calculus approach to integrable partial differential and difference equations, based on a binary Darboux-type transformation. This is then applied to the non-autonomous chiral model, a certain reduction of which is known to ap...