Resumen de A computational approach to kdv rational solitons and their differential galois groups.

S. Jiménez, J. J. Morales-Ruiz, Raquel Sánchez Cauce, M. A. Zurro

• In this work we give explicit computations of the fundamental matrices associated to the Schrödinger operator L = −∂ 2 + u for all values of the energy E ∈ C, and for u the Adler-Moser solitons [1], that is u is a rational solution of the Korteweg-de Vries equation (KdV1). Also we compute their differential Galois groups.