Journal of Nonlinear Mathematical Physics

Volume 4, Issue 1-2, May 1997, Pages 175 - 179

On Finite-Gap Elliptic Solutions of the KdV Equation

Authors
A.M. Korostil'
Corresponding Author
A.M. Korostil'
Available Online 1 May 1997.
DOI
10.2991/jnmp.1997.4.1-2.28How to use a DOI?
Abstract

We present a simple and general method for calculation of finite­gap elliptic solutions of the KdV equation as an isospectral deformation of Schrödinger potential based on their representation by rational functions of the elliptic Weierstrass functions.

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/).

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
4 - 1-2
Pages
175 - 179
Publication Date
1997/05/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1997.4.1-2.28How 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

TY  - JOUR
AU  - A.M. Korostil'
PY  - 1997
DA  - 1997/05/01
TI  - On Finite-Gap Elliptic Solutions of the KdV Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 175
EP  - 179
VL  - 4
IS  - 1-2
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1997.4.1-2.28
DO  - 10.2991/jnmp.1997.4.1-2.28
ID  - Korostil'1997
ER  -