Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies
Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 1, pp. 46-54
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We use the semiclassical $\bar\partial$-dressing method to derive compact generating equations for dispersionless hierarchies. The considered illustrative examples are the dispersionless Kadomtsev–Petviashvili and two-dimensional Toda lattice hierarchies.
Keywords:
semiclassical limit, $\bar\partial$-method, $\tau$-function.
@article{TMF_2003_134_1_a4,
author = {L. V. Bogdanov and B. G. Konopelchenko and L. Mart{\'\i}nez Alonso},
title = {Semiclassical $\bar\partial${-Method:} {Generating} {Equations} for {Dispersionless} {Integrable} {Hierarchies}},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {46--54},
publisher = {mathdoc},
volume = {134},
number = {1},
year = {2003},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_2003_134_1_a4/}
}
TY - JOUR AU - L. V. Bogdanov AU - B. G. Konopelchenko AU - L. Martínez Alonso TI - Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies JO - Teoretičeskaâ i matematičeskaâ fizika PY - 2003 SP - 46 EP - 54 VL - 134 IS - 1 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/TMF_2003_134_1_a4/ LA - ru ID - TMF_2003_134_1_a4 ER -
%0 Journal Article %A L. V. Bogdanov %A B. G. Konopelchenko %A L. Martínez Alonso %T Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies %J Teoretičeskaâ i matematičeskaâ fizika %D 2003 %P 46-54 %V 134 %N 1 %I mathdoc %U http://geodesic.mathdoc.fr/item/TMF_2003_134_1_a4/ %G ru %F TMF_2003_134_1_a4
L. V. Bogdanov; B. G. Konopelchenko; L. Martínez Alonso. Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies. Teoretičeskaâ i matematičeskaâ fizika, Tome 134 (2003) no. 1, pp. 46-54. http://geodesic.mathdoc.fr/item/TMF_2003_134_1_a4/