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Volume 24, Issue 4, September 2017, Pages 465 - 468
Bäcklund transformations between four Lax-integrable 3D equations
Authors
Oleg I. Morozov
Faculty of Applied Mathematics, AGH University of Science and Technology, Al. Mickiewicza 30, Cracow 30-059, Poland.morozov@agh.edu.pl
Maxim V. Pavlov
Sector of Mathematical Physics, Lebedev Physical Institute of Russian Academy of Sciences, Leninskij Prospekt 53, 119991 Moscow, Russia
Department of Applied Mathematics, National Research Nuclear University MEPHI, Kashirskoe Shosse 31, 115409 Moscow, Russia
Department of Mechanics and Mathematics, Novosibirsk State University, 2 Pirogova street, 630090, Novosibirsk, Russia.mpavlov@itp.ac.ru
Received 29 April 2017, Accepted 14 June 2017, Available Online 6 January 2021.
- DOI
- 10.1080/14029251.2017.1375684How to use a DOI?
- Keywords
- Lax-integrable equations; Bäcklund transformations
- Abstract
Recently a classification of contactly-nonequivalent three-dimensional linearly degenerate equations of the second order was presented by E.V. Ferapontov and J. Moss. The equations are Lax-integrable. In our paper we prove that all these equations are connected with each other by appropriate Bäcklund transformations.
- Copyright
- © 2017 The Authors. Published by Atlantis Press and Taylor & Francis
- Open Access
- This is an open access article distributed under the CC BY-NC license.
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Cite this article
TY - JOUR AU - Oleg I. Morozov AU - Maxim V. Pavlov PY - 2021 DA - 2021/01/06 TI - Bäcklund transformations between four Lax-integrable 3D equations JO - Journal of Nonlinear Mathematical Physics SP - 465 EP - 468 VL - 24 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2017.1375684 DO - 10.1080/14029251.2017.1375684 ID - Morozov2021 ER -