2012/06/19 by V. E. Adler, V E Adler, A. B. Shabat +1 · 13 citations
Mathematics · Physics and Astronomy · #Differential Equations and Boundary Problems #Homogeneous space #Hyperbolic equilibrium point #Hyperbolic function #Hyperbolic manifold #Hyperbolic partial differential equation #Integrable system #Nonlinear Waves and Solitons #Numerical methods for differential equations #Order (exchange) #Term (time) #Third order #math-ph #math.AP #math.MP #msc:35L75 #msc:35Q53 #msc:37K10 #msc:37K35 #nlin.SI
paper · pdf · doi:10.1088/1751-8113/45/39/395207
published in Journal of Physics A Mathematical and Theoretical 45(39), 395207 (Institute of Physics) · 22 p
arxiv created 2012/06/19 · openalex publication_date 2012/09/11 · arxiv updated 2012/09/13 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
The examples are considered of integrable hyperbolic equations of third order with two independent variables. In particular, an equation is found which admits as evolutionary symmetries the Krichever--Novikov equation and the modified Landau--Lifshitz system. The problem of choice of dynamical variables for the hyperbolic equations is discussed.