Coverings over Lax integrable equations and their nonlocal symmetries
Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 3, pp. 361-385
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We consider the three-dimensional rdDym equation $u_{ty}=u_xu_{xy}- u_yu_{xx}$. Using the known Lax representation with a nonremovable parameter and two hierarchies of nonlocal conservation laws associated with it, we describe the algebras of nonlocal symmetries in the corresponding coverings.
Keywords:
partial differential equation, three-dimensional rdDym equation, nonlocal symmetry, recursion operator.
@article{TMF_2016_188_3_a0,
author = {H. Baran and I. S. Krasil'shchik and O. I. Morozov and P. Voj\v{c}\'ak},
title = {Coverings over {Lax} integrable equations and their nonlocal symmetries},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {361--385},
publisher = {mathdoc},
volume = {188},
number = {3},
year = {2016},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2016_188_3_a0/}
}
TY - JOUR AU - H. Baran AU - I. S. Krasil'shchik AU - O. I. Morozov AU - P. Vojčák TI - Coverings over Lax integrable equations and their nonlocal symmetries JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2016 SP - 361 EP - 385 VL - 188 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2016_188_3_a0/ LA - ru ID - TMF_2016_188_3_a0 ER -
%0 Journal Article %A H. Baran %A I. S. Krasil'shchik %A O. I. Morozov %A P. Vojčák %T Coverings over Lax integrable equations and their nonlocal symmetries %J Teoretičeskaâ i matematičeskaâ fizika %D 2016 %P 361-385 %V 188 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2016_188_3_a0/ %G ru %F TMF_2016_188_3_a0
H. Baran; I. S. Krasil'shchik; O. I. Morozov; P. Vojčák. Coverings over Lax integrable equations and their nonlocal symmetries. Teoretičeskaâ i matematičeskaâ fizika, Tome 188 (2016) no. 3, pp. 361-385. http://geodesic.mathdoc.fr/item/TMF_2016_188_3_a0/