Premium
A New Explicit Expression for the Korteweg – De Vries Hierarchy
Author(s) -
Avramidi Ivan,
Schimming Rainer
Publication year - 2000
Publication title -
mathematische nachrichten
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.913
H-Index - 50
eISSN - 1522-2616
pISSN - 0025-584X
DOI - 10.1002/1522-2616(200011)219:1<45::aid-mana45>3.0.co;2-s
Subject(s) - mathematics , kdv hierarchy , korteweg–de vries equation , operator (biology) , hierarchy , expression (computer science) , matrix (chemical analysis) , differential operator , pure mathematics , mathematical physics , kernel (algebra) , heat kernel , schrödinger's cat , algebra over a field , mathematical analysis , quantum mechanics , nonlinear system , physics , materials science , repressor , chemistry , computer science , composite material , biochemistry , transcription factor , market economy , programming language , economics , gene
We derive an improved fully explicit expression for the right–hand sides of the matrix KdV hierarchy using the relation to the heat kernel of the one–dimensional Schrödinger operator. Our method of “matrix elements” produces, moreover, an explicit expression for the powers of a Schrödinger–like differential operator of an order.