On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems
The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a parametric form. A dispersionless Lax formulation is found.
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| Format: | Article |
| Language: | English |
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National Academy of Science of Ukraine
2009-01-01
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| Series: | Symmetry, Integrability and Geometry: Methods and Applications |
| Subjects: | |
| Online Access: | http://dx.doi.org/10.3842/SIGMA.2009.011 |
| _version_ | 1819129740934512640 |
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| author | Maxim V. Pavlov Ziemowit Popowicz |
| author_facet | Maxim V. Pavlov Ziemowit Popowicz |
| author_sort | Maxim V. Pavlov |
| collection | DOAJ |
| description | The particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a parametric form. A dispersionless Lax formulation is found. |
| first_indexed | 2024-12-22T08:48:32Z |
| format | Article |
| id | doaj.art-b2a8a8f7ad134372bc56dac9e565f8f9 |
| institution | Directory Open Access Journal |
| issn | 1815-0659 |
| language | English |
| last_indexed | 2024-12-22T08:48:32Z |
| publishDate | 2009-01-01 |
| publisher | National Academy of Science of Ukraine |
| record_format | Article |
| series | Symmetry, Integrability and Geometry: Methods and Applications |
| spelling | doaj.art-b2a8a8f7ad134372bc56dac9e565f8f92022-12-21T18:32:02ZengNational Academy of Science of UkraineSymmetry, Integrability and Geometry: Methods and Applications1815-06592009-01-015011On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type SystemsMaxim V. PavlovZiemowit PopowiczThe particular case of the integrable two component (2+1)-dimensional hydrodynamical type systems, which generalises the so-called Hamiltonian subcase, is considered. The associated system in involution is integrated in a parametric form. A dispersionless Lax formulation is found.http://dx.doi.org/10.3842/SIGMA.2009.011hydrodynamic-type systemdispersionless Lax representation |
| spellingShingle | Maxim V. Pavlov Ziemowit Popowicz On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems Symmetry, Integrability and Geometry: Methods and Applications hydrodynamic-type system dispersionless Lax representation |
| title | On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems |
| title_full | On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems |
| title_fullStr | On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems |
| title_full_unstemmed | On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems |
| title_short | On Integrability of a Special Class of Two-Component (2+1)-Dimensional Hydrodynamic-Type Systems |
| title_sort | on integrability of a special class of two component 2 1 dimensional hydrodynamic type systems |
| topic | hydrodynamic-type system dispersionless Lax representation |
| url | http://dx.doi.org/10.3842/SIGMA.2009.011 |
| work_keys_str_mv | AT maximvpavlov onintegrabilityofaspecialclassoftwocomponent21dimensionalhydrodynamictypesystems AT ziemowitpopowicz onintegrabilityofaspecialclassoftwocomponent21dimensionalhydrodynamictypesystems |