Classical integrable two-dimensional models inspired by SUSY quantum mechanics

A class of integrable two-dimensional (2D) classical systems with integrals of motion of fourth order in momenta is obtained from the quantum analogue s with the help of deformed SUSY algebra. With similar technique a new clas s of potentials connected with the Lax method is found which provides the i ntegrability of corresponding 2D Hamiltonian systems. In addition, some int egrable 2D systems with potentials expressed in elliptic functions are expl ored.