A new class of integrable systems and its relation to solitons

Ruijsenaars, 1980, Ann. Phys. (N.Y.), 126, 399, 10.1016/0003-4916(80)90182-7 Zamolodchikov, 1977, Comm. Math. Phys., 55, 183, 10.1007/BF01626520 Karowski, 1977, Nucl. Phys. B, 130, 295, 10.1016/0550-3213(77)90108-0 Zamolodchikov, 1978, Nucl. Phys. B, 133, 525, 10.1016/0550-3213(78)90239-0 S. N. M. Ruijsenaars, Action-angle maps and scattering theory for some finite-dimensional integrable systems, to appear. S. N. M. Ruijsenaars, to appear. Moser, 1975, Adv. Math., 16, 1, 10.1016/0001-8708(75)90151-6 Calogero, 1975, Lett. Nuovo Cim., 13, 411, 10.1007/BF02790495 Olshanetsky, 1981, Phys. Reps., 71, 313, 10.1016/0370-1573(81)90023-5 Ruijsenaars, 1980, Ann. Phys. (N.Y.), 128, 335, 10.1016/0003-4916(80)90324-3 Ruijsenaars, 1981, Ann. Phys. (N.Y.), 132, 328, 10.1016/0003-4916(81)90071-3 Ruijsenaars, 1982, Comm. Math. Phys., 87, 181, 10.1007/BF01218561 Airault, 1977, Comm. Pure Appl. Math., 30, 95, 10.1002/cpa.3160300106 Choodnovsky, 1977, Nucl. Phys. B, 40, 339 Krichever, 1980, Func. Anal. Appl., 14, 282, 10.1007/BF01078304 Kruskal, 1974, Lect. Appl. Math., 15, 61 Thickstun, 1976, J. Math. Anal. Appl., 55, 335, 10.1016/0022-247X(76)90164-5 Bowtell, 1977, Phys. Rev. D, 15, 3580, 10.1103/PhysRevD.15.3580 Bowtell, 1983, J. Math. Phys., 24, 969, 10.1063/1.525786 Schneider, 1985 Date, 1982, Publ. RIMS., 18, 1077, 10.2977/prims/1195183297 S. N. M. Ruijsenaars, unpublished manuscript, 1981. Whittaker, 1973 Sokolov, 1977, Sov. Phys. Dokl., 22, 198 Mutze, 1984, Phys. Rev. D, 29, 2255, 10.1103/PhysRevD.29.2255 Kulish, 1976, Theor. Math. Phys., 26, 132, 10.1007/BF01079418 Hua, 1963, Harmonic analysis of function of several complex variables in the classical domains, Amer. Math. Soc. Olshanetsky, 1976, Lett. Nuovo Cim., 16, 333, 10.1007/BF02750226 Olshanetsky, 1976, Lett. Nuovo Cim., 17, 97, 10.1007/BF02720431 Scott, 1973, 61, 1443 Hirota, 1971, Phys. Rev. Lett., 27, 1192, 10.1103/PhysRevLett.27.1192 Hirota, 1973, J. Phys. Soc. Jap., 35, 286, 10.1143/JPSJ.35.286 Toda, 1975, Phys. Reps., 18, 1, 10.1016/0370-1573(75)90018-6 Hirota, 1973, J. Math. Phys., 14, 810, 10.1063/1.1666400 Hirota, 1972, J. Phys. Soc. Jap., 33, 1456, 10.1143/JPSJ.33.1456 Hirota, 1972, J. Phys. Soc. Jap., 33, 1459, 10.1143/JPSJ.33.1459 Hirota, 1973, J. Phys. Soc. Jap., 35, 289, 10.1143/JPSJ.35.289 Currie, 1968, Interactions in relativistic classical particle mechanics, 91 Flaschka, 1975, Integrable systems of nonlinear evolution equations, 355 Zakharov, 1971, Func. Anal. Appl., 5, 280, 10.1007/BF01086739 Takhtadzhyan, 1974, Theor. Math. Phys., 21, 1046, 10.1007/BF01035551 Flaschka, 1976, Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method, 253 H. Schneider, Integrable relativistic N-particle systems in an external potential, to appear. S. N. M. Ruijsenaars, Relativistic Toda systems, to appear. S. N. M. Ruijsenaars, Complete integrability of relativistic Calogero-Moser systems and elliptic function identities, to appear.