Dispersionless limit of integrable models
Nonlinear dispersionless equations arise as the dispersionless limit of well know integrable hierarchies of equations or by construction, such as the system of hydrodynamic type. Some of these equations are integrable in the Hamiltonian sense and appear in the study of topological minimal models. In...
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| Veröffentlicht in: | Brazilian journal of physics 2000-06, Vol.30 (2), p.455-468 |
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| container_title | Brazilian journal of physics |
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| creator | Brunelli, J. C. |
| description | Nonlinear dispersionless equations arise as the dispersionless limit of well know integrable hierarchies of equations or by construction, such as the system of hydrodynamic type. Some of these equations are integrable in the Hamiltonian sense and appear in the study of topological minimal models. In the first part of the review, we will give a brief introduction to integrable models, mainly its Lax representation. Then, we will introduce the dispersionless limit and show some of our results concerning the two-component hyperbolic system of equations such as the polytropic gas and Born-Infeld equations. |
| doi_str_mv | 10.1590/S0103-97332000000200030 |
| format | Article |
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| fulltext | fulltext |
| identifier | ISSN: 0103-9733 |
| ispartof | Brazilian journal of physics, 2000-06, Vol.30 (2), p.455-468 |
| issn | 0103-9733 1678-4448 |
| language | eng |
| recordid | cdi_scielo_journals_S0103_97332000000200030 |
| source | Elektronische Zeitschriftenbibliothek - Frei zugängliche E-Journals |
| subjects | PHYSICS, MULTIDISCIPLINARY |
| title | Dispersionless limit of integrable models |
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