Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 35-43
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We investigate the $(2+1)$-dimensional hierarchies associated with the integrable PDEs of the form $\Omega_{tt}=F(\Omega_{xx},\Omega_{xt},\Omega_{xy})$, which generalize the dispersionless KP hierarchy. Integrability is understood as the existence of infinitely many hydrodynamic reductions.
Keywords:
integrable hierachies of dKP type, hydrodynamic reductions, pseudopotentials.
@article{TMF_2005_144_1_a3,
author = {E. V. Ferapontov and K. R. Khusnutdinova and M. V. Pavlov},
title = {Classification of {Integrable} $(2+1)${-Dimensional} {Quasilinear} {Hierarchies}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {35--43},
publisher = {mathdoc},
volume = {144},
number = {1},
year = {2005},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a3/}
}
TY - JOUR AU - E. V. Ferapontov AU - K. R. Khusnutdinova AU - M. V. Pavlov TI - Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2005 SP - 35 EP - 43 VL - 144 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a3/ LA - ru ID - TMF_2005_144_1_a3 ER -
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E. V. Ferapontov; K. R. Khusnutdinova; M. V. Pavlov. Classification of Integrable $(2+1)$-Dimensional Quasilinear Hierarchies. Teoretičeskaâ i matematičeskaâ fizika, Tome 144 (2005) no. 1, pp. 35-43. http://geodesic.mathdoc.fr/item/TMF_2005_144_1_a3/