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Classical integrable two-dimensional models inspired by SUSY quantum mechanics. / Andrianov, A. A.; Ioffe, M. V.; Nishnianidze, D. N.
в: Journal of Physics A: Mathematical and General, Том 32, № 25, 25.06.1999, стр. 4641-4654.Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование
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TY - JOUR
T1 - Classical integrable two-dimensional models inspired by SUSY quantum mechanics
AU - Andrianov, A. A.
AU - Ioffe, M. V.
AU - Nishnianidze, D. N.
PY - 1999/6/25
Y1 - 1999/6/25
N2 - 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.
AB - 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.
UR - http://www.scopus.com/inward/record.url?scp=0033603161&partnerID=8YFLogxK
U2 - 10.1088/0305-4470/32/25/307
DO - 10.1088/0305-4470/32/25/307
M3 - Article
AN - SCOPUS:0033603161
VL - 32
SP - 4641
EP - 4654
JO - Journal of Physics A: Mathematical and Theoretical
JF - Journal of Physics A: Mathematical and Theoretical
SN - 1751-8113
IS - 25
ER -
ID: 99374294