Geodesic
On (2+1)-Dimensional Hydrodynamic Type Systems Possessing a Pseudopotential with Movable Singularities
Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 53-62

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We consider a class of hydrodynamic type systems that have three independent and $N\ge 2$ dependent variables and possess a pseudopotential. It turns out that systems having a pseudopotential with movable singularities can be described by some functional equation. We find all solutions of this equation, which permits constructing interesting examples of integrable systems of hydrodynamic type for arbitrary $N$.
Keywords: integrable (2+1)-dimensional hydrodynamic type system, pseudopotential with movable singularities. 
@article{FAA_2008_42_3_a4,
     author = {A. V. Odesskii and V. V. Sokolov},
     title = {On {(2+1)-Dimensional} {Hydrodynamic} {Type} {Systems} {Possessing} a {Pseudopotential} with {Movable} {Singularities}},
     journal = {Funkcionalʹnyj analiz i ego prilo\v{z}eni\^a},
     pages = {53--62},
     publisher = {mathdoc},
     volume = {42},
     number = {3},
     year = {2008},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a4/}
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A. V. Odesskii; V. V. Sokolov. On (2+1)-Dimensional Hydrodynamic Type Systems Possessing a Pseudopotential with Movable Singularities. Funkcionalʹnyj analiz i ego priloženiâ, Tome 42 (2008) no. 3, pp. 53-62. http://geodesic.mathdoc.fr/item/FAA_2008_42_3_a4/