Journal of Nonlinear Mathematical Physics

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Volume 4, Issue 3-4, September 1997, Pages 350 - 357

Periodic Soliton Solutions as Imbricate Series of Rational Solitons: Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion

Authors
Masayoshi Tajiri, Yosuke Watanabe
Corresponding Author
Masayoshi Tajiri
Available Online 1 September 1997.
DOI
10.2991/jnmp.1997.4.3-4.9How to use a DOI?
Abstract

An inclined periodic soliton solution can be expressed as imbricate series of rational soliton solutions. A convenient form of the imbrication is given by using the bilinear form. A lattice soliton solution which propagaties in any direction can be also constructed by doubly imbricating rational solitons.

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
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 3-4
Pages
350 - 357
Publication Date
1997/09/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1997.4.3-4.9How 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  - Masayoshi Tajiri
AU  - Yosuke Watanabe
PY  - 1997
DA  - 1997/09/01
TI  - Periodic Soliton Solutions as Imbricate Series of Rational Solitons: Solutions to the Kadomtsev-Petviashvili Equation with Positive Dispersion
JO  - Journal of Nonlinear Mathematical Physics
SP  - 350
EP  - 357
VL  - 4
IS  - 3-4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.3-4.9
DO  - 10.2991/jnmp.1997.4.3-4.9
ID  - Tajiri1997
ER  -