2026-06-28T10:09:05Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/515392024-09-02T17:31:49Zcom_20.500.14352_14col_20.500.14352_15

The Whitham hierarchies: reductions and hodograph solutions Guil Guerrero, Francisco José Mañas Baena, Manuel Enrique Martínez Alonso, Luis A general scheme for analysing reductions of Whitham hierarchies is presented. It is based on a method for determining the S-function by means of a system of first-order partial differential equations. Compatibility systems of differential equations characterizing both reductions and hodograph solutions of Whitham hierarchies are obtained. The method is illustrated by exhibiting solutions of integrable models such as the dispersionless Toda equation (heavenly equation) and the generalized Benney system. 2023-06-20T10:58:29Z 2023-06-20T10:58:29Z 2023-06-20T10:58:29Z 2003-04-11 journal article https://hdl.handle.net/20.500.14352/51539 0305-4470 10.1088/0305-4470/36/14/309 eng PB98–0821 open access IOP Publishing