Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type

Details Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type Symmetry constraints for dispersionless integrable equations and systems of hydrodynamic type

2003-12-06

arxiv.org/abs/nlin/0312013v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

16 pages, LaTeX

Scientific paper

10.1016/j.physleta.2004.08.024

Symmetry constraints for (2+1)-dimensional dispersionless integrable equations are considered. It is demonstrated that they naturally lead to systems of hydrodynamic type which arise within the reduction method. One also easily obtaines an associated complex curve (Sato function) and corresponding generating equations. Dispersionless KP and 2DTL hierarchy are considered as illustrative examples.

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