New integrable string-like fields in 1+1 dimensions

1999/09/07 by D. K. Demskoy, Dmitry K Demskoy, Demskoy, D. K. +2 · 1 citation
Physics and Astronomy · #Astrophysics and Cosmic Phenomena #Black Holes and Theoretical Physics #Cosmology and Gravitation Theories #Exactly Solvable and Integrable Systems (nlin.SI) #FOS: Physical sciences #nlin.SI #solv-int

paper · pdf · doi:10.48550/arxiv.solv-int/9909005

arxiv created 1999/09/07 · openalex publication_date 1999/09/07 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

The symmetry classification method is applied to the string-like scalar fields in two-dimensional space-time. When the configurational space is three-dimensional and reducible we present the complete list of the systems admiting higher polynomial symmetries of the 3rd, 4th and 5th-order.

Cited by

• On application of Liouville type equations to constructing Bäcklund transformations

Related

• Fields and Symmetries of 2D Strings
• String Theory and Integrable Systems
• Higher symmetries of the lattices in 3D
• Additional Symmetry of CKP hierarchy
• Additional symmetries of the Zakharov-Shabat hierarchy, String equation and Isomonodromy