Nonlinear dynamics on the plane and integrable hierarchies of infinitesimal deformations
A class of nonlinear problems on the plane, described by nonlinear inhomogeneous ∂¯-equations, is considered. It is shown that the corresponding dynamics, generated by deformations of inhomogeneous terms (sources), is described by Hamilton–Jacobi-type equations associated with hierarchies of dispers...
| Autores: | , |
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| Tipo de recurso: | artículo |
| Fecha de publicación: | 2002 |
| País: | España |
| Institución: | Universidad Complutense de Madrid (UCM) |
| Repositorio: | Docta Complutense |
| Idioma: | inglés |
| OAI Identifier: | oai:docta.ucm.es:20.500.14352/59822 |
| Acceso en línea: | https://hdl.handle.net/20.500.14352/59822 |
| Access Level: | acceso abierto |
| Palabra clave: | 51-73 Dispersionless limit Whitham hierarchy Conformal-maps Kp hierarchy Equations Models Systems Física-Modelos matemáticos Física matemática |
| Sumario: | A class of nonlinear problems on the plane, described by nonlinear inhomogeneous ∂¯-equations, is considered. It is shown that the corresponding dynamics, generated by deformations of inhomogeneous terms (sources), is described by Hamilton–Jacobi-type equations associated with hierarchies of dispersionless integrable systems. These hierarchies are constructed by applying the quasiclassical ∂¯-dressing method. |
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