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Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra Structures

M. Palese·E. Winterroth
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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 Bäcklund map.

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M. Palese, E. Winterroth. 2003-11-11. Nonlinear 2+1--Dimensional Field Equations from Incomplete Lie Algebra Structures. https://doi.org/10.1016/s0370-2693(02)01496-x

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