Maxim V. Pavlov, Ziemowit Popowicz, “On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems”, SIGMA, 2009, том 5,011, 10 стр.

Эта публикация цитируется в 5 статьях

On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems

Maxim V. Pavlov^a, Ziemowit Popowicz^b

^a Department of Mathematical Physics, P. N. Lebedev Physical Institute of RAS, 53 Leninskii Ave., 119991 Moscow, Russia
^b Institute of Theoretical Physics, University of Wroclaw, pl. M. Borna 9, 50-204 Wroclaw, Poland

Аннотация: The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a parametric form. A dispersionless Lax formulation is found.

Ключевые слова: hydrodynamic-type system; dispersionless Lax representation.

MSC: 37K10; 35Q53

Поступила: 28 августа 2008 г.; в окончательном варианте 20 января 2009 г.; опубликована 27 января 2009 г.

Язык публикации: английский

DOI: 10.3842/SIGMA.2009.011