The classification of nonsingular multidimensional Dubrovin-Novikov brackets

Author:

Mokhov O. I.

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics,Analysis

Reference20 articles.

1. B. A. Dubrovin and S. P. Novikov, “On Poisson brackets of hydrodynamic type,” Dokl. Akad. Nauk SSSR, 279:2 (1984), 294–297; English transl.: Soviet Math. Dokl., 30 (1984), 651–654.

2. B. A. Dubrovin and S. P. Novikov, “The Hamiltonian formalism of one-dimensional systems of hydrodynamic type and the Bogolyubov-Whitham averaging method,” Dokl. Akad. Nauk SSSR, 270:4 (1983), 781–785; English transl.: Soviet Math. Dokl., 27 (1983), 665–669.

3. S. P. Tsarev, “Geometry of Hamiltonian systems of hydrodynamic type. The generalized hodograph method,” Izv. Akad. Nauk SSSR. Ser. Matem., 54:5 (1990), 1048–1068; English transl.: Math. USSR Izv., 54:5 (1990), 397–419.

4. B. A. Dubrovin and S. P. Novikov, “Hydrodynamics of weakly deformed soliton lattices. Differential geometry and Hamiltonian theory,” Uspekhi Mat. Nauk, 44:6 (1989), 29–98; English transl.: Russian Math. Surveys, 44:6 (1989), 35–124.

5. E. V. Ferapontov and K. R. Khusnutdinova, “On the integrability of (2 + 1)-dimensional quasilinear systems,” Comm. Math. Phys., 248 (2004), 187–206.

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