Journal of Nonlinear Mathematical Physics

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Volume 12, Issue Supplement 1, January 2005, Pages 648 - 659

Solitons of Wave Equation

Authors
Antoni Sym
Corresponding Author
Antoni Sym
Available Online 1 January 2005.
DOI
10.2991/jnmp.2005.12.s1.50How to use a DOI?
Abstract

Modulated progressive wave solutions (solitons) to (3 + 1)­dimensional wave equation are discussed within a general geometrical framework. The role of geodesic coordinates defined by hypersurfaces of Riemannian spaces is pointed out in this context. In particular in E3 orthogonal geodesic coordinates defined by Dupin cyclides are used to simplify derivation of the most nontrivial results of Friedlander on solitons of (3 +

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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Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
12 - Supplement 1
Pages
648 - 659
Publication Date
2005/01/01
ISBN
91-974824-3-9
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.2005.12.s1.50How 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  - Antoni Sym
PY  - 2005
DA  - 2005/01/01
TI  - Solitons of Wave Equation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 648
EP  - 659
VL  - 12
IS  - Supplement 1
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.2005.12.s1.50
DO  - 10.2991/jnmp.2005.12.s1.50
ID  - Sym2005
ER  -