Volume 22, Issue 1, December 2014, Pages 102 - 116
On a spectral analysis of scattering data for the Camassa-Holm equation
Chueh-Hsin Chang, Tony Wen-Hann Sheu*
Center of Advanced Study in Theoretical Sciences, National Taiwan University, Taipei, 10617, Taiwan.email@example.com
Center of Advanced Study in Theoretical Sciences Department of Engineering Science and Ocean Engineering Institute of Applied Mathematical Science National Taiwan University, Taipei, 10617, Taiwan,firstname.lastname@example.org
* Corresponding author
Tony Wen-Hann Sheu
Received 30 August 2014, Accepted 6 October 2014, Available Online 6 January 2021.
- 10.1080/14029251.2015.996443How to use a DOI?
- direct and inverse scattering; Camassa-Holm equation; isospectral problem
Physical details of the Camassa–Holm (CH) equation that are difficult to obtain in space-time simulation can be explored by solving the Lax pair equations within the direct and inverse scattering analysis context. In this spectral analysis of the completely integrable CH equation we focus solely on the direct scattering analysis of the initial condition defined in the physical space coordinate through the time-independent Lax equation. Both of the continuous and discrete spectrum cases for the initial condition under current investigation are analytically derived. The scattering data derived from the direct scattering transform for non-reflectionless case are also discussed in detail in spectral domain from the physical viewpoint.
- © 2015 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 - Chueh-Hsin Chang AU - Tony Wen-Hann Sheu PY - 2021 DA - 2021/01/06 TI - On a spectral analysis of scattering data for the Camassa-Holm equation JO - Journal of Nonlinear Mathematical Physics SP - 102 EP - 116 VL - 22 IS - 1 SN - 1776-0852 UR - https://doi.org/10.1080/14029251.2015.996443 DO - 10.1080/14029251.2015.996443 ID - Chang2021 ER -