On the spectral singularity problem in the perturbation theory for systems close to the kdv equation

E. S. Benilov; B. A. Malomed

doi:10.1088/0305-4470/21/8/002

On the spectral singularity problem in the perturbation theory for systems close to the kdv equation

E. S. Benilov
, B. A. Malomed

RAS - P.P. Shirshov Institute of Oceanology

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

Abstract

We discuss the well known problem of long-wave divergences in the perturbation theory based on the inverse scattering transform. We outline a feasible way to remedy this shortcoming.

Original language	English
Pages (from-to)	1439-1442
Number of pages	4
Journal	Journal of Physics A: Mathematical and General
Volume	21
Issue number	8
DOIs	https://doi.org/10.1088/0305-4470/21/8/002
Publication status	Published - 21 Apr 1988
Externally published	Yes

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title = "On the spectral singularity problem in the perturbation theory for systems close to the kdv equation",

abstract = "We discuss the well known problem of long-wave divergences in the perturbation theory based on the inverse scattering transform. We outline a feasible way to remedy this shortcoming.",

author = "Benilov, \{E. S.\} and Malomed, \{B. A.\}",

year = "1988",

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doi = "10.1088/0305-4470/21/8/002",

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T1 - On the spectral singularity problem in the perturbation theory for systems close to the kdv equation

AU - Benilov, E. S.

AU - Malomed, B. A.

PY - 1988/4/21

Y1 - 1988/4/21

N2 - We discuss the well known problem of long-wave divergences in the perturbation theory based on the inverse scattering transform. We outline a feasible way to remedy this shortcoming.

AB - We discuss the well known problem of long-wave divergences in the perturbation theory based on the inverse scattering transform. We outline a feasible way to remedy this shortcoming.

UR - https://www.scopus.com/pages/publications/84956135948

U2 - 10.1088/0305-4470/21/8/002

DO - 10.1088/0305-4470/21/8/002

M3 - Letter

AN - SCOPUS:84956135948

SN - 0305-4470

VL - 21

SP - 1439

EP - 1442

JO - Journal of Physics A: Mathematical and General

JF - Journal of Physics A: Mathematical and General

IS - 8

ER -

On the spectral singularity problem in the perturbation theory for systems close to the kdv equation

Abstract

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