A new construction of recursion operators for systems of the hydrodynamic type
Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 1, pp. 37-49
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We consider a certain class of two-dimensional systems of the hydrodynamic type that contains all examples known to us and can be associated with a class of linear wave equations possessing an algebra of ladder operators. We use this to give a simple construction of recursion operators for these systems, not always coinciding with those of Sheftel and Teshukov.
@article{TMF_2000_122_1_a3,
author = {A. P. Fordy and T. B. G\"urel},
title = {A new construction of recursion operators for systems of the hydrodynamic type},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {37--49},
publisher = {mathdoc},
volume = {122},
number = {1},
year = {2000},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2000_122_1_a3/}
}
TY - JOUR AU - A. P. Fordy AU - T. B. Gürel TI - A new construction of recursion operators for systems of the hydrodynamic type JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2000 SP - 37 EP - 49 VL - 122 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2000_122_1_a3/ LA - ru ID - TMF_2000_122_1_a3 ER -
A. P. Fordy; T. B. Gürel. A new construction of recursion operators for systems of the hydrodynamic type. Teoretičeskaâ i matematičeskaâ fizika, Tome 122 (2000) no. 1, pp. 37-49. http://geodesic.mathdoc.fr/item/TMF_2000_122_1_a3/