DOI

A complete series of trace formulas for the one-dimensional Stark operator on the entire axis with a rapidly decreasing potential is constructed. The Stark equation is related to the cylindrical Korteweg-de Vries equation by the pair (L-A). For this equation, infinite series of integrals of motion is constructed that corresponds to the trace formulas for the Stark operator.

Original languageEnglish
Pages (from-to)903-910
Number of pages8
JournalSt. Petersburg Mathematical Journal
Volume31
Issue number5
DOIs
StatePublished - 2020

    Scopus subject areas

  • Analysis
  • Algebra and Number Theory
  • Applied Mathematics

    Research areas

  • Cylindrical korteweg-de vries equation, Integrals of motion, Inverse problem, Stark operator, Trace formulas

ID: 87673753