We study the irreducibility and the separation of characteristic polynomials, associated to the energy graph of the non-linear Schrodinger equation. This fact will be useful in the study of stability of a class of normal forms of the completely resonant non-linear Schrodinger equation on a torus, described in a recent work by M. Procesi and C. Procesi. The problem can be also considered as an independent interesting algebraic combinatorial problem.
Characteristic polynomials, associated to the energy graph of the non-linear Schrodinger equation / Nguyen, BICH VAN. - (2012 Dec 17).
Characteristic polynomials, associated to the energy graph of the non-linear Schrodinger equation
NGUYEN, BICH VAN
17/12/2012
Abstract
We study the irreducibility and the separation of characteristic polynomials, associated to the energy graph of the non-linear Schrodinger equation. This fact will be useful in the study of stability of a class of normal forms of the completely resonant non-linear Schrodinger equation on a torus, described in a recent work by M. Procesi and C. Procesi. The problem can be also considered as an independent interesting algebraic combinatorial problem.File allegati a questo prodotto
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