Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra Structures
Exactly Solvable and Integrable Systems
2009-11-10 v1 Mathematical Physics
math.MP
Abstract
We show that the nonlinear 2+1--dimensional Three--Wave Resonant Interaction equations, describing several important physical phenomena, can be generated starting from incomplete Lie algebras in the framework of multidimensional prolongation structures. We make use of an {\em ansatz} involving the structure equations of a principal prolongation connection induced by an admissible B\"acklund map.
Cite
@article{arxiv.nlin/0311018,
title = {Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra Structures},
author = {M. Palese and E. Winterroth},
journal= {arXiv preprint arXiv:nlin/0311018},
year = {2009}
}
Comments
9 pages