Journal of Nonlinear Mathematical Physics

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Volume 9, Issue 1, February 2002, Pages 58 - 76

Soliton Asymptotics of Rear Part of Non-Localized Solutions of the Kadomtsev-Petviashvili Equation

Authors
Anne Boutet de Monvel, Eugene Khruslov
Corresponding Author
Anne Boutet de Monvel
Received 2 April 2001, Revised 3 November 2001, Accepted 4 November 2001, Available Online 1 February 2002.
DOI
10.2991/jnmp.2002.9.1.6How to use a DOI?
Abstract

We construct non-localized, real global solutions of the Kadomtsev-Petviashvili-I eqution which vanish for x - and study their large time asymptotic behavior. We prove that such solutions eject (for t ) a train of curved asymptotic solitons which move behind the basic wave packet.

Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

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<Previous Article In Issue
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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
9 - 1
Pages
58 - 76
Publication Date
2002/02/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2002.9.1.6How to use a DOI?
Copyright
© 2006, the Authors. Published by Atlantis Press.
Open Access
This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

risenwbib
TY  - JOUR
AU  - Anne Boutet de Monvel
AU  - Eugene Khruslov
PY  - 2002
DA  - 2002/02/01
TI  - Soliton Asymptotics of Rear Part of Non-Localized Solutions of the Kadomtsev-Petviashvili Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 58
EP  - 76
VL  - 9
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2002.9.1.6
DO  - 10.2991/jnmp.2002.9.1.6
ID  - Monvel2002
ER  -