2010/03/13 by Debojit Sarma, Sarma, Debojit, Mahadev Patgiri +1
Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #Geometric Analysis and Curvature Flows #Nonlinear Waves and Solitons #nlin.SI
paper · pdf · doi:10.48550/arxiv.1003.2678
6 pages, no figures
arxiv created 2010/03/13 · openalex publication_date 2010/03/13 · arxiv updated 2010/03/16 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present a metric for which Einstein's field equations in vacuum generate the Kortweg-de Vries (KdV) equation and thus its N-soliton solutions solve the vacuum equations. The metric of the one soliton solution has been investigated and is a non-singular, Lorentzian metric of type N in the Petrov classification.