Accession Number:

ADA193271

Title:

Integrable Equations in Multi-Dimensions (2+1) are Bi-Hamiltonian Systems,

Descriptive Note:

Corporate Author:

CLARKSON UNIV POTSDAM NY INST FOR NONLINEAR STUDIES

Personal Author(s):

• Fokas, A. S.
• Santini, P. M.

Report Date:

1987-02-01

Pagination or Media Count:

39.0

Abstract:

Given a linear eigenvalue problem find all nonlinear equations that are related to it. Associated with a given eigenvalue problem there exists a hierarchy of infinitely many equations. This hierarchy is generated by a certain linear operator. This operator is the squared eigenfunction operator of the underlying linear eigenvalue problem. The operator generating the KdV hierarchy i.e. the squared eigenfunction operator of the Schrodinger eigenvalue problem was found by Lenard. Finding the hierarchy associated with a given equation is equivalent to finding the non-Lie point symmetries of the given equation.

Descriptors:

• *EIGENVALUES
• *NONLINEAR DIFFERENTIAL EQUATIONS
• EQUATIONS
• HIERARCHIES
• LINEARITY
• OPERATORS(MATHEMATICS)
• HAMILTONIAN FUNCTIONS
• SYMMETRY
• SCHRODINGER EQUATION

Subject Categories:

• Theoretical Mathematics

Distribution Statement:

APPROVED FOR PUBLIC RELEASE