This article is cited in 8 papers

Classical Symmetry Reductions of the Schwarz–Korteweg–de Vries Equation in $2+1$ Dimensions

M. L. Gandarias, M. S. Bruzón, J. Ramíres

Universidad de Cadiz

Abstract: Classical reductions of a $(2+1)$-dimensional integrable Schwarz–Korteweg–de Vries equation are classified. These reductions to systems of partial differential equations in $1+1$ dimensions admit symmetries that lead to further reductions, i.e., to systems of ordinary differential equations. All these systems have been reduced to second-order ordinary differential equations. We present some particular solutions involving two arbitrary functions.

Keywords: partial differential equations, Lie symmetries.

DOI: 10.4213/tmf141

 English version: Theoretical and Mathematical Physics, 2003, 134:1, 62–71

Bibliographic databases:

• 
• 
•