Mañas, M.; Martínez Alonso, L.; Medina, E. KP theory of Egorov nets. (English. Russian original) Zbl 1011.37041 Theor. Math. Phys. 127, No. 3, 800-807 (2001); translation from Teor. Mat. Fiz. 127, No. 3, 457-464 (2001). Summary: The theory of multicomponent KP hierarchies is used to characterize explicit examples of Egorov nets. A \(\overline\partial\) dressing method for Cauchy propagators is found to be particularly efficient. MSC: 37K10 Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) 35Q53 KdV equations (Korteweg-de Vries equations) 53A60 Differential geometry of webs Keywords:multicomponent KP hierarchies; dressing method; Cauchy propagators PDFBibTeX XMLCite \textit{M. Mañas} et al., Theor. Math. Phys. 127, No. 3, 800--807 (2001; Zbl 1011.37041); translation from Teor. Mat. Fiz. 127, No. 3, 457--464 (2001) Full Text: DOI