Journal of Nonlinear Mathematical Physics

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Volume 8, Issue Supplement, February 2001, Pages 249 - 253

Elbow Scattering and Boundary Value Problems of NLPDE

Authors
Pierre C. Sabatier
Corresponding Author
Pierre C. Sabatier
Available Online 1 February 2001.
DOI
10.2991/jnmp.2001.8.s.43How to use a DOI?
Abstract

We use Lax equations to define a scattering problem on an infinite elbow shaped line of the (x, t) plane. The evolution of scattering coefficients when the elbow is translated in the plane shows how convenient scannings may reconstruct the solution V (x, t) of the nonlinear equation associated to the Lax pair. It also helps us understanding why this can work only if strong consistency conditions, related to the asymptotic behaviors of V, are satisfied by the boundary values.

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/).

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<Previous Article In Issue
Next Article In Issue>
Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
8 - Supplement
Pages
249 - 253
Publication Date
2001/02/01
ISBN
91-631-0262-5
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2001.8.s.43How 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

risenwbib
TY  - JOUR
AU  - Pierre C. Sabatier
PY  - 2001
DA  - 2001/02/01
TI  - Elbow Scattering and Boundary Value Problems of NLPDE
JO  - Journal of Nonlinear Mathematical Physics
SP  - 249
EP  - 253
VL  - 8
IS  - Supplement
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2001.8.s.43
DO  - 10.2991/jnmp.2001.8.s.43
ID  - Sabatier2001
ER  -