Volume 27, Issue 4, September 2020, Pages 647 - 663
Decomposition of 2-Soliton Solutions for the Good Boussinesq Equations
Authors
Vesselin Vatchev
School of Mathematical and Statistical Sciences, University of Texas Rio Grande Valley, One West Boulevard Brownsville, TX 78520, US,vesselin.vatchev@utrgv.edu
Received 12 November 2019, Accepted 28 January 2020, Available Online 4 September 2020.
- DOI
- 10.1080/14029251.2020.1819610How to use a DOI?
- Keywords
- N-Solitons; Wronskian Solutions; KdV, Boussinesq
- Abstract
We consider decompositions of two-soliton solutions for the good Boussinesq equation obtained by the Hirota method and the Wronskian technique. The explicit forms of the components are used to study the dynamics of 2-soliton solutions. An interpretation in the context of eigenvalue problems arising from KdV type equations and transport equations is considered. Numerical examples are included.
- Copyright
- © 2020 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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TY - JOUR AU - Vesselin Vatchev PY - 2020 DA - 2020/09/04 TI - Decomposition of 2-Soliton Solutions for the Good Boussinesq Equations JO - Journal of Nonlinear Mathematical Physics SP - 647 EP - 663 VL - 27 IS - 4 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2020.1819610 DO - 10.1080/14029251.2020.1819610 ID - Vatchev2020 ER -