Proceedings of the 2015 International conference on Applied Science and Engineering Innovation

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Multi-symplectic integration for the Camassa-Holm- equation

Authors
Jiarui Liang, Songhe Song
Corresponding Author
Jiarui Liang
Available Online May 2015.
DOI
10.2991/asei-15.2015.106How to use a DOI?
Keywords
Multi-symplectic method, Fourier pseudospectral scheme,
Abstract

In this paper, we construct a multi-symplectic Hamiltonian form of the Camassa- Holm- equation(CH- ) and use the multi-symplectic Fourier pesudospectral Method(MSFP) for the discretization of the CH- equation. peaked periodic solution with periodic boundary condition is taken to confirm the accuracy and the good ability of conserving the invariants of the MSFP method. Then the collision of two peaked periodic solutions is shown.

Copyright
© 2015, 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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Volume Title
Proceedings of the 2015 International conference on Applied Science and Engineering Innovation
Series
Advances in Engineering Research
Publication Date
May 2015
ISBN
978-94-62520-94-3
ISSN
2352-5401
DOI
10.2991/asei-15.2015.106How to use a DOI?
Copyright
© 2015, 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  - CONF
AU  - Jiarui Liang
AU  - Songhe Song
PY  - 2015/05
DA  - 2015/05
TI  - Multi-symplectic integration for the Camassa-Holm- equation
BT  - Proceedings of the 2015 International conference on Applied Science and Engineering Innovation
PB  - Atlantis Press
SP  - 537
EP  - 543
SN  - 2352-5401
UR  - https://doi.org/10.2991/asei-15.2015.106
DO  - 10.2991/asei-15.2015.106
ID  - Liang2015/05
ER  -