Conservation Laws of a Perturbed Kaup–Newell Equation
Document Type
Article
Publication Date
2016
Keywords
Lax pair, conservation law, Riccati equation
Digital Object Identifier (DOI)
https://doi.org/10.1142/S0217984916503814
Abstract
A new Lax pair is introduced for a perturbed Kaup–Newell equation and used to construct two series of conservation laws through a Riccati equation that a ratio of eigenfunctions satisfies. Both series of conservation laws are defined recursively, and the first two in each series are presented explicitly.
Was this content written or created while at USF?
Yes
Citation / Publisher Attribution
Modern Physics Letters B, v. 30, issue 32-33, art. 1650381
Scholar Commons Citation
Yang, Jing-Yun and Ma, Wen-Xiu, "Conservation Laws of a Perturbed Kaup–Newell Equation" (2016). Mathematics and Statistics Faculty Publications. 107.
https://digitalcommons.usf.edu/mth_facpub/107