@article{TMF_1994_100_2_a3,
author = {R. A. Mishaev and E. Sh. Teplitsky},
title = {Nonlinear {Schr\"odinger} equations admitted by {auto-B\"acklund} transformations},
journal = {Teoreti\v{c}eska\^a i matemati\v{c}eska\^a fizika},
pages = {199--213},
year = {1994},
volume = {100},
number = {2},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a3/}
}
TY - JOUR AU - R. A. Mishaev AU - E. Sh. Teplitsky TI - Nonlinear Schrödinger equations admitted by auto-Bäcklund transformations JO - Teoretičeskaâ i matematičeskaâ fizika PY - 1994 SP - 199 EP - 213 VL - 100 IS - 2 UR - http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a3/ LA - ru ID - TMF_1994_100_2_a3 ER -
R. A. Mishaev; E. Sh. Teplitsky. Nonlinear Schrödinger equations admitted by auto-Bäcklund transformations. Teoretičeskaâ i matematičeskaâ fizika, Tome 100 (1994) no. 2, pp. 199-213. http://geodesic.mathdoc.fr/item/TMF_1994_100_2_a3/
[1] Wahlquist H. D., Estabrook F. B., J. Math. Phys., 16 (1975), 1–7 | DOI | MR | Zbl
[2] Wahlquist H. D., Estabrook F. B., J. Math. Phys., 17 (1976), 1293–1297 | DOI | MR | Zbl
[3] Ovsyannikov L. V., Gruppovoi analiz differentsialnykh uravnenii, Nauka, M., 1978 | MR
[4] Ibragimov N. Kh., Gruppy preobrazovanii v matematicheskoi fizike, Nauka, M., 1983 | MR
[5] Gagnon L., Winternitz P., Phys. Rev. A, 39 (1989), 296–306 | DOI | MR
[6] Olver D. J., Applications of Lie groups to differential equations, Springer, N. Y., 1986 | MR
[7] Zakharov V. E., Manakov S. V., Novikov S. P., Pitaevskii L. P., Teoriya solitonov. Metod obratnoi zadachi, Mir, M., 1980 | MR
[8] Ablowitz M. J., Segur H., Solitons and the inverse scattering transform, SIAM Studies in Applied Mathematics, 4, SIAM, Philadelphia, 1981 | MR | Zbl
[9] Calogero F., Degasperis A., Spectral Transform and solitons: Tools to solve and investigate nonlinear evolution equations, North-Holland Publishing Company, 1982 | MR | Zbl
[10] Khirota R., Solitony, eds. R. Bullaf, P. Kodri, Mir, M., 1980
[11] Lem Dzh.(ml.), Solitony, Mir, M., 1982
[12] Lamb G. L.(jr.), Phys. Lett. A, 48 (1974), 73 | DOI | MR
[13] Lamb G. L.(jr.), J. Math. Phys., 15 (1974), 2157–2165 | DOI | MR
[14] Bullaf R., Kodri P., Solitony, eds. R. Bullaf, P. Kodri, Mir, M., 1980
[15] Harnard J., Winternitz P., J. Math. Phys., 23 (1982), 517–525 | DOI | MR
[16] Kingston J. G., Sophocleous C., J. Math. Phys., 31 (1990), 2597–2602 | DOI | MR | Zbl
[17] Shadwick W. F., J. Math. Phys., 19 (1978), 2312–2317 | DOI | MR | Zbl
[18] Byrnes S. G., J. Math. Phys., 17 (1976), 836–842 | DOI | MR | Zbl
[19] McLaughlin D. W., Scott A., J. Math. Phys., 14 (1973), 1817–1828 | DOI | MR | Zbl