Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+1 dimensions

@article{Ferapontov2011DispersiveDO,
  title={Dispersive deformations of Hamiltonian systems of hydrodynamic type in 2+1 dimensions},
  author={Eugene V. Ferapontov and V. S. Novikov and Nikola M. Stoilov},
  journal={Physica D: Nonlinear Phenomena},
  year={2011},
  volume={241},
  pages={2138-2144}
}
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4 Citations
Background Citations
2
Methods Citations
1

4 Citations

Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions and their dispersive deformations

Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynamics, the Whitham averaging procedure and the theory of Frobenius manifolds. In 1 + 1 dimensions,…

On Deformations of Multidimensional Poisson Brackets of Hydrodynamic Type

The theory of Poisson vertex algebras (PVAs) (Barakat et al. in Jpn J Math 4(2):141–252, 2009) is a good framework to treat Hamiltonian partial differential equations. A PVA consists of a pair…

On Deformations of Multidimensional Poisson Brackets of Hydrodynamic Type

  • M. Casati
  • Materials Science
    Communications in Mathematical Physics
  • 2014
The theory of Poisson vertex algebras (PVAs) (Barakat et al. in Jpn J Math 4(2):141–252, 2009) is a good framework to treat Hamiltonian partial differential equations. A PVA consists of a pair…

Preface | Physica D: Nonlinear Phenomena - Volume 241, Issues 23–24

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Classification of integrable two-component Hamiltonian systems of hydrodynamic type in 2 + 1 dimensions

Hamiltonian systems of hydrodynamic type occur in a wide range of applications including fluid dynamics, the Whitham averaging procedure, and the theory of Frobenius manifolds. In 1 + 1 dimensions,…

Dispersive deformations of hydrodynamic reductions of (2 + 1)D dispersionless integrable systems

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