Journal of Nonlinear Mathematical Physics

Volume 1, Issue 3, August 1994, Pages 267 - 274

Homogeneous Manifold, Loop Algebra, Coupled KdV System and Generalised Miura Transformation

Authors
I. Mukhopadhya, A. Roy Chowdhury
Corresponding Author
I. Mukhopadhya
Received 20 March 1994, Available Online 1 August 1994.
DOI
10.2991/jnmp.1994.1.3.2How to use a DOI?
Abstract

Coupled KdV equations are deduced by considering the homogeneous manifold corresponding to the homogeneous Heisenberg subalgebra of the Loop group (L(S1 , SL(2, C)). Utilisation of Birkhoff decomposition and further subalgebra consideration leads to a new generalised form of Miura map and two sets of modified equations. A second set of Miura transformation can also be generated leading to complicated form of coupled integrable systems.

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/).

Download article (PDF)

Journal
Journal of Nonlinear Mathematical Physics
Volume-Issue
1 - 3
Pages
267 - 274
Publication Date
1994/08/01
ISSN (Online)
1776-0852
ISSN (Print)
1402-9251
DOI
10.2991/jnmp.1994.1.3.2How 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

TY  - JOUR
AU  - I. Mukhopadhya
AU  - A. Roy Chowdhury
PY  - 1994
DA  - 1994/08/01
TI  - Homogeneous Manifold, Loop Algebra, Coupled KdV System and Generalised Miura Transformation
JO  - Journal of Nonlinear Mathematical Physics
SP  - 267
EP  - 274
VL  - 1
IS  - 3
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1994.1.3.2
DO  - 10.2991/jnmp.1994.1.3.2
ID  - Mukhopadhya1994
ER  -