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

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/).

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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  -