Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra Structures
Palese, M. ; Winterroth, E.
arXiv, 0311018 / Harvested from arXiv
Text on arXiv
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.
Publié le : 2003-11-11
Classification:  Nonlinear Sciences - Exactly Solvable and Integrable Systems,  Mathematical Physics 
@article{0311018,
     author = {Palese, M. and Winterroth, E.},
     title = {Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra
  Structures},
     journal = {arXiv},
     volume = {2003},
     number = {0},
     year = {2003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/0311018}
}

Palese, M.; Winterroth, E. Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra
  Structures. arXiv, Tome 2003 (2003) no. 0, . http://gdmltest.u-ga.fr/item/0311018/