Classical Integrable 2-dim Models Inspired by SUSY Quantum Mechanics
A. A. Andrianov, M. V. Ioffe, D. N. Nishnianidze
Abstract
A class of integrable 2-dim 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 Lax method is found which provides the integrability of corresponding 2-dim hamiltonian systems. In addition, some integrable 2-dim systems with potentials expressed in elliptic functions are explored.
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