Abstract
The invertible differential substitutions that conserve the standard Poisson brackets and act on Hamiltonians in an appropriate way are considered. These canonical auto-Baecklund transformations proved to be a very simple and efficient tool in the theory of solitons. In particular, these allow one to prove a general involutivity theorem and to build up simple formulae for soliton-like solutions of (2+1)-dimensional Hamiltonian systems as well as in (1+1)-dimensional case. 7 refs.
Citation Formats
Lesnov, A N, Shabat, A B, and Yamilov, R I.
Variational discrete symmetries.
Russian Federation: N. p.,
1992.
Web.
Lesnov, A N, Shabat, A B, & Yamilov, R I.
Variational discrete symmetries.
Russian Federation.
Lesnov, A N, Shabat, A B, and Yamilov, R I.
1992.
"Variational discrete symmetries."
Russian Federation.
@misc{etde_10136971,
title = {Variational discrete symmetries}
author = {Lesnov, A N, Shabat, A B, and Yamilov, R I}
abstractNote = {The invertible differential substitutions that conserve the standard Poisson brackets and act on Hamiltonians in an appropriate way are considered. These canonical auto-Baecklund transformations proved to be a very simple and efficient tool in the theory of solitons. In particular, these allow one to prove a general involutivity theorem and to build up simple formulae for soliton-like solutions of (2+1)-dimensional Hamiltonian systems as well as in (1+1)-dimensional case. 7 refs.}
place = {Russian Federation}
year = {1992}
month = {Dec}
}
title = {Variational discrete symmetries}
author = {Lesnov, A N, Shabat, A B, and Yamilov, R I}
abstractNote = {The invertible differential substitutions that conserve the standard Poisson brackets and act on Hamiltonians in an appropriate way are considered. These canonical auto-Baecklund transformations proved to be a very simple and efficient tool in the theory of solitons. In particular, these allow one to prove a general involutivity theorem and to build up simple formulae for soliton-like solutions of (2+1)-dimensional Hamiltonian systems as well as in (1+1)-dimensional case. 7 refs.}
place = {Russian Federation}
year = {1992}
month = {Dec}
}