From hamiltonian PDES to hamiltonian ODES through normal forms

• Autores: Jesús Francisco Palacián Subiela, Patricia Yanguas Sayas
• Localización: VII Jornadas Zaragoza-Pau de Matemática Aplicada y estadística: Jaca (Huesca). 17-18 de septiembre de 2001 / coord. por Monique Madaune-Tort, 2003, ISBN 84-96214-04-4, págs. 453-460
• Idioma: inglés
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• Resumen

  • We present a method to reduce a polynomial Hamiltonian PDE H to a Hamiltonian ODE in n degrees of freedom under some conditions that the quadratic part of H must satisfy. The technique is based on the construction of adequate normal forms for PDEs and generalises the one given by A. Mielke. We apply this procedure to an example of nonlinear PDEs.