Trace formulas for the one-dimensional stark operator and integrals of motion for the cylindrical korteweg-de vries equation

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Trace formulas for the one-dimensional stark operator and integrals of motion for the cylindrical korteweg-de vries equation. / Sukhanov, V. V.

In: St. Petersburg Mathematical Journal, Vol. 31, No. 5, 2020, p. 903-910.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{ebaa4ba869654368b9051c0ca64da4b0,

title = "Trace formulas for the one-dimensional stark operator and integrals of motion for the cylindrical korteweg-de vries equation",

abstract = "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.",

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

author = "Sukhanov, {V. V.}",

note = "Publisher Copyright: {\textcopyright} 2020 American Mathematical Society.",

year = "2020",

doi = "10.1090/spmj/1628",

language = "English",

volume = "31",

pages = "903--910",

journal = "St. Petersburg Mathematical Journal",

issn = "1061-0022",

publisher = "American Mathematical Society",

number = "5",

}

RIS

TY - JOUR

T1 - Trace formulas for the one-dimensional stark operator and integrals of motion for the cylindrical korteweg-de vries equation

AU - Sukhanov, V. V.

PY - 2020

Y1 - 2020

N2 - 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.

AB - 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.

KW - Cylindrical korteweg-de vries equation

KW - Integrals of motion

KW - Inverse problem

KW - Stark operator

KW - Trace formulas

UR - http://www.scopus.com/inward/record.url?scp=85091669367&partnerID=8YFLogxK

U2 - 10.1090/spmj/1628

DO - 10.1090/spmj/1628

M3 - Article

AN - SCOPUS:85091669367

VL - 31

SP - 903

EP - 910

JO - St. Petersburg Mathematical Journal

JF - St. Petersburg Mathematical Journal

SN - 1061-0022

IS - 5

ER -

ID: 87673753