Deformations of dispersionless KdV hierarchies

Details Deformations of dispersionless KdV hierarchies Deformations of dispersionless KdV hierarchies

2000-10-06

arxiv.org/abs/nlin/0010016v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

12 papges

Scientific paper

The obstructions to the existence of a hierarchy of hydrodynamic conservation laws are studied for a multicomponent dispersionless KdV system. It is shown that if an underlying algebra is Jordan, then the lowest obstruction vanishes and that all higher obstructions automatically vanish. Deformations of these multicomponent dispersionless KdV-type equations are also studied. No new obstructions appear, and hence the existence of a fully deformed hierarchy depends on the existence of a single purely hydrodynamic conservation law.

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