A Kam – Theorem for Equations of the Korteweg – De Vries Type

  title={A Kam – Theorem for Equations of the Korteweg – De Vries Type},
  author={Sergei B. Kuksin},
  • Sergei B. Kuksin
  • Published 1998
Sergei B. Kuksin Abstract. We study quasilinear Hamiltonian partial differential equations with one-dimensional space variable in a segment of real line. We assume that the equation has a family of n-frequency time-quasiperiodic solutions, depending on an n-dimensional amplitude vector, and prove that most of these solutions persist under Hamiltonian perturbations of the equation by a nonlinear term which contains less derivatives than the linear part of the unperturbed equation. The result is… CONTINUE READING
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