1998/10/31 by A. A. Andrianov, A A Andrianov, M. V. Ioffe +3 · 1 citation
Mathematics · Physics and Astronomy · #Algebraic structures and combinatorial models #Class (philosophy) #Hamiltonian (control theory) #Hamiltonian mechanics #Hamiltonian system #Integrable system #Nonlinear Waves and Solitons #Quantum #Quantum Mechanics and Non-Hermitian Physics #Quantum system #Superintegrable Hamiltonian system #Supersymmetry #hep-th #math-ph #math.MP #nlin.SI #quant-ph #solv-int
paper · pdf · doi:10.1088/0305-4470/32/25/307
published as J.Phys.A32:4641,1999 · 19 pages, LaTeX, final version to be published in J.Phys.A
openalex publication_date 1999/01/01 · arxiv created 1999/04/29 · arxiv updated 2009/11/30 · openalex created_date 2016/06/24 · openalex updated_date 2026/08/05
A class of integrable two-dimensional (2D) classical systems with integrals of motion of fourth order in momenta is obtained from the quantum analogues with the help of deformed SUSY algebra. With similar technique a new class of potentials connected with the Lax method is found which provides the integrability of corresponding 2D Hamiltonian systems. In addition, some integrable 2D systems with potentials expressed in elliptic functions are explored.