https://doi.org/10.1140/epjp/i2016-16441-7
Regular Article
Nonlocal symmetry and explicit solutions for Drinfel’d-Sokolov-Wilson system
1
Institute of Nonlinear Science, Shaoxing University, 312000, Shaoxing, China
2
Department of Physics, Hangzhou Normal University, 310036, Hangzhou, China
3
Institute of Systems Science, East China Normal University, 200241, Shanghai, China
* e-mail: renbosemail@163.com
Received:
31
October
2016
Accepted:
23
November
2016
Published online:
23
December
2016
Based on the truncated Painlevé method and the Möbius (conformal) invariant form, the nonlocal symmetry for the Drinfel’d-Sokolov-Wilson equation is derived. To use symmetry reductions related with nonlocal symmetry, the nonlocal symmetry is localized to the Lie point symmetry by introducing three dependent variables. Thanks to the localization procedure, many group-invariant solutions of the enlarged systems are constructed with similar reductions.
© Società Italiana di Fisica and Springer-Verlag Berlin Heidelberg, 2016
