https://doi.org/10.1140/epjp/s13360-019-00035-w
Regular Article
Multiple residual symmetries and soliton-cnoidal wave interaction solution of the 
-dimensional negative-order modified Calogero–Bogoyavlenskii–Schiff equation
1
School of Mathematics and Statistics, Beijing Institute of Technology, Beijing, 100081, People’s Republic of China
2
Department of Mathematics, Yuxi Normal University, Yuxi, 653100, People’s Republic of China
3
Department of Mathematics, China University of Mining and Technology, Beijing, 100083, People’s Republic of China
* e-mail: 15174391250@163.com
Received:
25
May
2019
Accepted:
29
September
2019
Published online:
7
January
2020
The residual symmetry for the -dimensional negative-order modified Calogero–Bogoyavlenskii–Schiff (nmCBS) equation is derived from the truncated Painlevé expansion, and is extended to the multiple residual symmetries, which can be transformed to Lie point symmetries by introducing a suitable prolonged system. The nth Bäcklund transformation (BT) related to multiple residual symmetries is given in terms of determinant. More importantly, we obtain the explicit soliton-cnoidal wave interaction solution from a consistent differential equation.
© Società Italiana di Fisica (SIF) and Springer-Verlag GmbH Germany, part of Springer Nature, 2020
