Symmetry constraint of MKdV equations by binary nonlinearization

DOI

10.2991/jnmp.1994.1.4.7How to use a DOI?

Abstract

A symmetry constraint for the MKdV integrable hierarchy is presented by binary nonlinearization. The spatial and temporal parts of the Lax pairs and adjoint Lax pairs of MKdV equations are all constrained as finite-dimensional Liouville integrable Hamiltonian systems, whose integrals of motion are explicitly given. In terms of the proposed symmetry constraint, MKdV equations are decomposed into two finitedimensional Liouville integrable constrained systems and thus a kind of separation of variables for MKdV equations is established.

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  - Wenxiu Ma
PY  - 1994
DA  - 1994/11/01
TI  - Symmetry constraint of MKdV equations by binary nonlinearization
JO  - Journal of Nonlinear Mathematical Physics
SP  - 420
EP  - 433
VL  - 1
IS  - 4
SN  - 1776-0852
UR  - https://doi.org/10.2991/jnmp.1994.1.4.7
DO  - 10.2991/jnmp.1994.1.4.7
ID  - Ma1994
ER  -