Konopelchenko, BorisMartínez Alonso, Luis2023-06-202023-06-2020040305-447010.1088/0305-4470/37/32/003https://hdl.handle.net/20.500.14352/51653©IOP Publishing. L Martinez Alonso wishes to thank the members of the Physics Department of Lecce University for their warm hospitality. This work was partially supported by DGCYT project BFM2002- 01607 and by the grant COFIN 2002 ‘Sintesi’.A general scheme for determining and studying integrable deformations of algebraic curves, based on the use of Lenard relations, is presented. The method is illustrated with the analysis of the hyperelliptic case. An associated multi-Hamiltonian hierarchy of systems of hydrodynamic type is characterized.engjournal articlehttp://dx.doi.org/10.1088/0305-4470/37/32/003http://arxiv.org/abs/nlin/0403052open access51-73Dispersionless Kp hierarchyHamiltonian-structureBenney equationsLax equationsReductionsLimitFísica-Modelos matemáticosFísica matemática