
Accession Number : ADA193271
Title : Integrable Equations in MultiDimensions (2+1) are BiHamiltonian Systems,
Corporate Author : CLARKSON UNIV POTSDAM NY INST FOR NONLINEAR STUDIES
Personal Author(s) : Fokas, A S ; Santini, P M
PDF Url : ADA193271
Report Date : Feb 1987
Pagination or Media Count : 39
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 nonLie 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