2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/56800Soliton Solutions of Korteweg-de Vries (KdV) were constructed for given degenerate curves $y^2 = (x-c)P(x)^2$ in terms of hyperelliptic sigma functions and explicit Abelian integrals. Connection between sigma functions and tau function were also presented.AMS-TeX, 12 pagesMathematical PhysicsAlgebraic GeometryAnalysis of PDEsExactly Solvable and Integrable Systemstext