Absence of exponentially localized solitons for the Novikov-Veselov equation at negative energy

A. V. Kazeykina; R. G. Novikov

doi:10.1088/0951-7715/24/6/007

Absence of exponentially localized solitons for the Novikov-Veselov equation at negative energy

A. V. Kazeykina
, R. G. Novikov

Ecole polytechnique

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

Abstract

We show that the Novikov-Veselov equation (an analogue of KdV in dimension 2 + 1) does not have exponentially localized solitons at negative energy.

Original language	English
Pages (from-to)	1821-1830
Number of pages	10
Journal	Nonlinearity
Volume	24
Issue number	6
DOIs	https://doi.org/10.1088/0951-7715/24/6/007
Publication status	Published - 1 Jun 2011

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title = "Absence of exponentially localized solitons for the Novikov-Veselov equation at negative energy",

abstract = "We show that the Novikov-Veselov equation (an analogue of KdV in dimension 2 + 1) does not have exponentially localized solitons at negative energy.",

author = "Kazeykina, \{A. V.\} and Novikov, \{R. G.\}",

year = "2011",

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doi = "10.1088/0951-7715/24/6/007",

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AU - Novikov, R. G.

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N2 - We show that the Novikov-Veselov equation (an analogue of KdV in dimension 2 + 1) does not have exponentially localized solitons at negative energy.

AB - We show that the Novikov-Veselov equation (an analogue of KdV in dimension 2 + 1) does not have exponentially localized solitons at negative energy.

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DO - 10.1088/0951-7715/24/6/007

M3 - Article

AN - SCOPUS:79957799877

SN - 0951-7715

VL - 24

SP - 1821

EP - 1830

JO - Nonlinearity

JF - Nonlinearity

IS - 6

ER -

Absence of exponentially localized solitons for the Novikov-Veselov equation at negative energy

Abstract

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