|
This article is cited in 13 scientific papers (total in 13 papers)
Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies
L. V. Bogdanova, B. G. Konopelchenkob, L. Martínez Alonsoc a L. D. Landau Institute for Theoretical Physics, Russian Academy of Sciences
b Lecce University
c Universidad Complutense, Departamento de Fisica Teorica II
Abstract:
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.
Citation:
L. V. Bogdanov, B. G. Konopelchenko, L. Martínez Alonso, “Semiclassical $\bar\partial$-Method: Generating Equations for Dispersionless Integrable Hierarchies”, TMF, 134:1 (2003), 46–54; Theoret. and Math. Phys., 134:1 (2003), 39–46
Linking options:
https://www.mathnet.ru/eng/tmf139https://doi.org/10.4213/tmf139 https://www.mathnet.ru/eng/tmf/v134/i1/p46
|
Statistics & downloads: |
Abstract page: | 753 | Full-text PDF : | 254 | References: | 72 | First page: | 2 |
|