Large time asymptotics for the Grinevich-Zakharov potentials

A. V. Kazeykina; R. G. Novikov

doi:10.1016/j.bulsci.2011.02.003

Large time asymptotics for the Grinevich-Zakharov potentials

A. V. Kazeykina
, R. G. Novikov

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

Abstract

In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) is given by a finite sum of localized travel waves (solitons).

Original language	English
Pages (from-to)	374-382
Number of pages	9
Journal	Bulletin des Sciences Mathematiques
Volume	135
Issue number	4
DOIs	https://doi.org/10.1016/j.bulsci.2011.02.003
Publication status	Published - 1 Jun 2011

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title = "Large time asymptotics for the Grinevich-Zakharov potentials",

abstract = "In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) is given by a finite sum of localized travel waves (solitons).",

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year = "2011",

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AU - Novikov, R. G.

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N2 - In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) is given by a finite sum of localized travel waves (solitons).

AB - In this article we show that the large time asymptotics for the Grinevich-Zakharov rational solutions of the Novikov-Veselov equation at positive energy (an analog of KdV in 2+1 dimensions) is given by a finite sum of localized travel waves (solitons).

U2 - 10.1016/j.bulsci.2011.02.003

DO - 10.1016/j.bulsci.2011.02.003

M3 - Article

AN - SCOPUS:79956066315

SN - 0007-4497

VL - 135

SP - 374

EP - 382

JO - Bulletin des Sciences Mathematiques

JF - Bulletin des Sciences Mathematiques

IS - 4

ER -

Large time asymptotics for the Grinevich-Zakharov potentials

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