Geodesic
Solutions of the~real dispersionless Veselov--Novikov hierarchy
Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 387-398

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We investigate the dispersionless Veselov–Novikov (dVN) equation in the framework of the dispersionless two-component $B$KP hierarchy. We consider symmetry constraints for the real dVN system and show that the conserved densities are related to Faber polynomials and can be solved recursively. In addition, we use the Faber polynomials to find hodograph solutions of the dVN hierarchy.
Keywords: dVN hierarchy
Mots-clés : Hirota equation, Faber polynomial, hodograph. 
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     author = {J.-H. Chang and Yu.-T. Chen},
     title = {Solutions of the~real dispersionless {Veselov--Novikov} hierarchy},
     journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
     pages = {387--398},
     publisher = {mathdoc},
     volume = {159},
     number = {3},
     year = {2009},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a5/}
}
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J.-H. Chang; Yu.-T. Chen. Solutions of the~real dispersionless Veselov--Novikov hierarchy. Teoretičeskaâ i matematičeskaâ fizika, Tome 159 (2009) no. 3, pp. 387-398. http://geodesic.mathdoc.fr/item/TMF_2009_159_3_a5/