Symmetries and BI-Hamiltonian Structures of 2+1 Dimensional Systems,

Abstract

The theory associated with the recursion operators of classes of integrable nonlinear evolution equations in 2+1 dimensions is summarized. In particular the notions of symmetries, gradients of conserved quantities, strong and hereditary symmetries, Hamiltonian operators are generalized to equations in multidimensions. Applications to physically relevant equations like the Kadomtsev-Petviashvili equation are illustrated. Integro-differential evolution equations like the Benjamin-Ono equation are shown to be also described by this generalized theory.

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Document Details

Document Type
Technical Report
Publication Date
Jan 01, 1986
Accession Number
ADA192824

Entities

People

  • A. S. Fokas
  • P. M. Santini

Organizations

  • Clarkson University

Tags

Communities of Interest

  • Air Platforms

DTIC Thesaurus Topics

  • Algebra
  • Computer Programs
  • Computer Science
  • Delta Functions
  • Differential Equations
  • Directional
  • Eigenvalues
  • Equations
  • Mathematical Analysis
  • Mathematics
  • Personal Information Managers
  • Real Variables
  • Stars
  • Symmetry
  • Three Dimensional
  • Two Dimensional

Fields of Study

  • Mathematics

Readers

  • Calculus or Mathematical Analysis