Volume 19, Issue 1, March 2012, Pages 119 - 135
Focusing mKdV Breather Solutions with Nonvanishing Boundary Condition by the Inverse Scattering Method
Miguel A. Alejo
Department of Theoretical Biology, University of Bonn, Germany,firstname.lastname@example.org
Received 13 September 2011, Accepted 5 December 2011, Available Online 6 January 2021.
- 10.1142/S140292511250009XHow to use a DOI?
- mKdV equation; breather; inverse scattering; nonvanishing condition
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.
- © 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 - 2021/01/06 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 - 10.1142/S140292511250009X ID - Alejo2021 ER -