Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+1 dimensions |
| |
Authors: | E.V. Ferapontov V.S. Novikov N.M. Stoilov |
| |
Affiliation: | Department of Mathematical Sciences, Loughborough University, Loughborough, Leicestershire LE11 3TU, United Kingdom |
| |
Abstract: | We develop a theory of integrable dispersive deformations of 2+1 dimensional Hamiltonian systems of hydrodynamic type following the scheme proposed by Dubrovin and his collaborators in 1+1 dimensions. Our results show that the multi-dimensional situation is far more rigid, and generic Hamiltonians are not deformable. As an illustration we discuss a particular class of two-component Hamiltonian systems, establishing the triviality of first order deformations and classifying Hamiltonians possessing nontrivial deformations of the second order. |
| |
Keywords: | |
本文献已被 ScienceDirect 等数据库收录! |
|