1995/02/13 by D. B. Fairlie, D.B. Fairlie, I. A. B. Strachan +1 · 7 citations
Mathematics · Physics and Astronomy · #Advanced Differential Equations and Dynamical Systems #Axial symmetry #Conservation law #Hamiltonian (control theory) #Hamiltonian system #Hierarchy #Homotopy and Cohomology in Algebraic Topology #Integrable system #Laplace transform #Nonlinear Waves and Solitons #Superintegrable Hamiltonian system #Toda lattice #nlin.SI #solv-int
paper · pdf · doi:10.1016/0167-2789(95)00229-4
published in Physica D Nonlinear Phenomena 90(1-2), 1-8 (Elsevier BV) · 12 pages, latex, no figures
arxiv created 1995/02/13 · openalex publication_date 1996/01/01 · openalex created_date 2016/06/24 · arxiv updated 2020/12/16 · openalex updated_date 2026/08/05
The Hamiltonian structure of the two-dimensional dispersionless Toda hierarchy is studied, this being a particular example of a system of hydrodynamic type. The polynomial conservation laws for the system turn out, after a change of variable, to be associated with the axially symmetric solutions of the 3-dimensional Laplace equation and this enables a generating function for the Hamiltonian densities to be derived in closed form.