Journal of Nonlinear Mathematical Physics

Volume 19, Issue 1, March 2012, Pages 119 - 135

Focusing mKdV Breather Solutions with Nonvanishing Boundary Condition by the Inverse Scattering Method

Authors
Miguel A. Alejo
Department of Theoretical Biology, University of Bonn, Germany, miguel.alejo@uni-bonn.de
Received 13 September 2011, Accepted 5 December 2011, Available Online 6 January 2021.
DOI
https://doi.org/10.1142/S140292511250009XHow to use a DOI?
Keywords
mKdV equation, breather, inverse scattering, nonvanishing condition
Abstract

Using the Inverse Scattering Method with a nonvanishing boundary condition, we obtain an explicit breather solution with nonzero vacuum parameter b of the focusing modified Korteweg–de Vries (mKdV) equation. Moreover, taking the limiting case of zero frequency, we obtain a generalization of the double pole solution introduced by M. Wadati et al.

Copyright
© 2012 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
19 - 1
Pages
119 - 135
Publication Date
2021/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
https://doi.org/10.1142/S140292511250009XHow to use a DOI?
Copyright
© 2012 The Authors. Published by Atlantis Press and Taylor & Francis
Open Access
This is an open access article distributed under the CC BY-NC 4.0 license (http://creativecommons.org/licenses/by-nc/4.0/).

Cite this article

TY  - JOUR
AU  - Miguel A. Alejo
PY  - 2021
DA  - 2021/01
TI  - Focusing mKdV Breather Solutions with Nonvanishing Boundary Condition by the Inverse Scattering Method
JO  - Journal of Nonlinear Mathematical Physics
SP  - 119
EP  - 135
VL  - 19
IS  - 1
SN  - 1776-0852
UR  - https://doi.org/10.1142/S140292511250009X
DO  - https://doi.org/10.1142/S140292511250009X
ID  - Alejo2021
ER  -