Electronic Resource
College Park, Md.
:
American Institute of Physics (AIP)
Journal of Mathematical Physics
34 (1993), S. 193-205
ISSN:
1089-7658
Source:
AIP Digital Archive
Topics:
Mathematics
,
Physics
Notes:
A loop algebra of nonlocal isovectors of the Korteweg–de Vries (KdV) equation is introduced which is derived from the bi-Hamiltonian structure of that equation by inverting the usual recursion operator. These symmetries are lifted to the modified KdV (mKdV) equation and two related evolution equations via coordinate transformations. The effect on the algebraic structure of the isovector algebra is considered. Possible applications of these symmetries include recovering Miura-type transformations.
Type of Medium:
Electronic Resource
URL:
http://dx.doi.org/10.1063/1.530374
Permalink
|
Location |
Call Number |
Expected |
Availability |