메뉴 건너뛰기




Volumn 31, Issue 1, 1976, Pages 59-146

Non-linear equations of korteweg-de vries type, finite-zone linear operators, and abelian varieties

Author keywords

[No Author keywords available]

Indexed keywords


EID: 84913921727     PISSN: 00360279     EISSN: None     Source Type: Journal    
DOI: 10.1070/RM1976v031n01ABEH001446     Document Type: Article
Times cited : (392)

References (66)
  • 1
    • 33646975016 scopus 로고
    • Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe
    • MR 7-382
    • G. Borg, Eine Umkehrung der Sturm-Liouvilleschen Eigenwertaufgabe, Acta Math. 78 (1946), 1-96. MR 7-382.
    • (1946) Acta Math , vol.78 , pp. 1-96
    • Borg, G.1
  • 2
    • 36149019436 scopus 로고
    • Determination of a central field of force from the elastic scattering phase shifts
    • V. Bargmann, Determination of a central field of force from the elastic scattering phase shifts, Phys. Rev. 75 (1949), 301-303.
    • (1949) Phys. Rev , vol.75 , pp. 301-303
    • Bargmann, V.1
  • 3
    • 0001458591 scopus 로고
    • On the determination of a differential equation by its spectral function
    • MR 13-558
    • I. M. Gel'fand and B. M. Levitan, On the determination of a differential equation by its spectral function, Izv. Akad. Nauk SSSR Ser. Mat. 15 (1951), 309-360. MR 13-558.
    • (1951) Izv. Akad. Nauk SSSR Ser. Mat , vol.15 , pp. 309-360
    • Gel'fand, I.M.1    Levitan, B.M.2
  • 4
    • 0001412947 scopus 로고
    • Some problems of the theory of one-dimensional differential operators
    • MR 15-315
    • V. A. Marchenko, Some problems of the theory of one-dimensional differential operators. I, Trudy Moskov. Mat. Obshch. 1 (1952), 327-420. MR 15-315.
    • (1952) Trudy Moskov. Mat. Obshch , vol.1 , pp. 327-420
    • Marchenko, V.A.1
  • 5
    • 0000109642 scopus 로고
    • Properties of the 5-matrix of the one-dimensional Schrodinger equation
    • MR 31 #2446
    • L. D. Faddeev, Properties of the 5-matrix of the one-dimensional Schrodinger equation, Trudy Mat. Inst. Steklov 73 (1964), 314-336. MR 31 #2446.
    • (1964) Trudy Mat. Inst. Steklov , vol.73 , pp. 314-336
    • Faddeev, L.D.1
  • 6
    • 27544441166 scopus 로고
    • On an inverse problem of spectral analysis for the Hill equation
    • MR 41 # 7195. = Soviet Math. Dokl. 11 (1970), 582-586
    • I. V. Stankevich, On an inverse problem of spectral analysis for the Hill equation, Dokl. Akad. Nauk SSSR 192 (1970), 34-37. MR 41 # 7195. = Soviet Math. Dokl. 11 (1970), 582-586.
    • (1970) Dokl. Akad. Nauk SSSR , vol.192 , pp. 34-37
    • Stankevich, I.V.1
  • 7
    • 0037970919 scopus 로고
    • Further investigations into the periodic Lame functions
    • MR 2-46
    • E. L. Ince, Further investigations into the periodic Lame functions, Proc. Roy. Soc. Edinburgh 60 (1940), 83-99. MR 2-46.
    • (1940) Proc. Roy. Soc. Edinburgh , vol.60 , pp. 83-99
    • Ince, E.L.1
  • 8
    • 0000732670 scopus 로고
    • Reflectionless transmission through dielectrics and scattering potentials
    • I. Kay and H. Moses, Reflectionless transmission through dielectrics and scattering potentials, J. Appl. Phys. 27 (1956), 1503-1508.
    • (1956) J. Appl. Phys , vol.27 , pp. 1503-1508
    • Kay, I.1    Moses, H.2
  • 9
    • 33646978170 scopus 로고
    • On the determination of a Hill's equation from its spectrum
    • MR 31 # 6019
    • H. Hochstadt, On the determination of a Hill's equation from its spectrum, Arch. Rational Mech. and Anal. 19 (1965), 535-562. MR 31 # 6019.
    • (1965) Arch. Rational Mech. And Anal , vol.19 , pp. 535-562
    • Hochstadt, H.1
  • 10
    • 0000514833 scopus 로고
    • A continuous analogue to orthogonal polynomials on a system of intervals
    • MR 25 # 4383. = Soviet Math. Dokl. 2 (1961), 1409-1412
    • N. I. Akhiezer, A continuous analogue to orthogonal polynomials on a system of intervals, Dokl. Akad. Nauk SSSR 141 (1961), 263-266. MR 25 # 4383. = Soviet Math. Dokl. 2 (1961), 1409-1412.
    • (1961) Dokl. Akad. Nauk SSSR , vol.141 , pp. 263-266
    • Akhiezer, N.I.1
  • 11
    • 0040991774 scopus 로고
    • On potentials with zero reflection coefficient, in the coll
    • (Dynamics in a dense medium), Novosibirsk
    • A. B. Shabat, On potentials with zero reflection coefficient, in the coll. Dinamika sploshnoi sredy (Dynamics in a dense medium), No. 5, 130-145, Novosibirsk 1970.
    • (1970) Dinamika Sploshnoi Sredy , Issue.5 , pp. 130-145
    • Shabat, A.B.1
  • 12
    • 0010566748 scopus 로고
    • A discrete version of the inverse scattering problem
    • MR 48 # 10392
    • K. M. Case and M. Kac, A discrete version of the inverse scattering problem, J. Mathematical Phys. 14 (1973), 594-603. MR 48 # 10392.
    • (1973) Mathematical Phys , vol.14 , pp. 594-603
    • Case, K.M.1    Kac, M.2
  • 13
    • 84957177685 scopus 로고
    • On a simple identity for the eigenvalues of a Sturm- Iiouville operator
    • I. M. Gel'fand and B. M. Levitan, On a simple identity for the eigenvalues of a Sturm- Iiouville operator, Uspekhi Mat. Nauk 30:6 (1975).
    • (1975) Uspekhi Mat. Nauk , vol.30
    • Gel'fand, I.M.1    Levitan, B.M.2
  • 14
    • 0007250185 scopus 로고
    • On a formula of Gel'fand-Levitan
    • MR 15-130
    • L. A. Dikii, On a formula of Gel'fand-Levitan, Uspekhi Mat. Nauk 8:2 (1953), 119-123. MR 15-130.
    • (1953) Uspekhi Mat. Nauk , vol.8 , Issue.2 , pp. 119-123
    • Dikii, L.A.1
  • 15
    • 0003516887 scopus 로고
    • Ch. XXI, Clarendon Press, Oxford, 1065. Translation: Razlozheniya po sobstvennym funktsiyam, svyazannye s differentsial'nymi uravneniyami vtorogo poryadka, Izdat. Inost. lit., Moscow 1961
    • E. C. Titchmarsh, Eigenfunction expansions associated with second-order differential equations, Vol.2, Ch. XXI, Clarendon Press, Oxford 1958. MR 20 # 1065. Translation: Razlozheniya po sobstvennym funktsiyam, svyazannye s differentsial'nymi uravneniyami vtorogo poryadka, Izdat. Inost. lit., Moscow 1961.
    • (1958) Eigenfunction Expansions Associated with Second-Order Differential Equations , vol.2
    • Titchmarsh, E.C.1
  • 16
    • 0001273346 scopus 로고
    • Proc. Roy. Soc. Ser, MR 31 #996
    • G. B. Whitham, Non-linear dispersive waves, Proc. Roy. Soc. Ser. A283 (1965), 238-261. MR 31 #996.
    • (1965) Non-Linear Dispersive Waves , vol.A283 , pp. 238-261
    • Whitham, G.B.1
  • 17
    • 33846361348 scopus 로고
    • Interaction of “solitons” in a collisionless plasma and the recurrence of initial states
    • M. D. Kruskal and N. Zabusky, Interaction of “solitons” in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett. 15 (1965), 240-243.
    • (1965) Phys. Rev. Lett , vol.15 , pp. 240-243
    • Kruskal, M.D.1    Zabusky, N.2
  • 19
    • 84981754671 scopus 로고
    • Integrals of non-linear equations of evolution and solitary waves
    • MR 38 # 3620. = Matematika 13:5 (1969), 128-150
    • P. D. Lax, Integrals of non-linear equations of evolution and solitary waves, Comm. Pure Appl. Math. 21 (1968), 467-490. MR 38 # 3620. = Matematika 13:5 (1969), 128-150.
    • (1968) Comm. Pure Appl. Math , vol.21 , pp. 467-490
    • Lax, P.D.1
  • 20
    • 4243049370 scopus 로고
    • A kinetic equations for solitons
    • = Soviet Physics JETP 33 (1971), 538-541
    • V. E. Zakharov, A kinetic equations for solitons, Zh. Eksper. Teoret. Fiz. 60 (1971), 993-1000. = Soviet Physics JETP 33 (1971), 538-541.
    • (1971) Zh. Eksper. Teoret. Fiz , vol.60 , pp. 993-1000
    • Zakharov, V.E.1
  • 21
    • 34250461398 scopus 로고
    • The Korteweg-de Vries equation is a completely integrable Hamiltonian system
    • MR 46 #2270. = Functional Anal. Appl. 5 (1971), 18-27
    • V. E. Zakharov and L. D. Faddeev, The Korteweg-de Vries equation is a completely integrable Hamiltonian system, Funktsional. Anal, i Prilozen. 5:4 (1971), 18-27. MR 46 #2270. = Functional Anal. Appl. 5 (1971), 18-27.
    • (1971) Funktsional. Anal, I Prilozen , vol.5 , Issue.4 , pp. 18-27
    • Zakharov, V.E.1    Faddeev, L.D.2
  • 22
    • 36849102552 scopus 로고
    • Korteweg-de Vries equation and generalizations. IV, The Korteweg-de Vries equation as a Hamiltonian system
    • MR44 #3615
    • C. S. Gardner, Korteweg-de Vries equation and generalizations. IV, The Korteweg-de Vries equation as a Hamiltonian system, J. Mathematical Phys. 12 (1971), 1548-1551. MR44 #3615.
    • (1971) J. Mathematical Phys , vol.12 , pp. 1548-1551
    • Gardner, C.S.1
  • 23
    • 0001080329 scopus 로고
    • On the problem of stochestization of one-dimensional chains of nonlinear oscillators
    • = Soviet Physics JETP 38 (1974), 108-110
    • V. E. Zakharov, On the problem of stochestization of one-dimensional chains of nonlinear oscillators, Zh. Eksper. Teoret. Fiz. 65 (1973) 219-225. = Soviet Physics JETP 38 (1974), 108-110.
    • (1973) Zh. Eksper. Teoret. Fiz , vol.65 , pp. 219-225
    • Zakharov, V.E.1
  • 24
    • 0000314031 scopus 로고
    • On an analytic solution of the two-dimensional K-dV equation
    • V. S. Dryuma, On an analytic solution of the two-dimensional K-dV equation, Letters to Zh. Eksper. Teoret. Fiz. 19:12 (1974), 753-755.
    • (1974) Letters to Zh. Eksper. Teoret. Fiz , vol.19 , Issue.12 , pp. 753-755
    • Dryuma, V.S.1
  • 25
    • 0000440099 scopus 로고
    • Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in non-linear media
    • = Soviet Physics JETP 34 (1972), 62-69
    • V. E. Zakharov and A. B. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in non-linear media, Zh. Eksper. Teoret. Fiz. 61(1971), 118-134. = Soviet Physics JETP 34 (1972), 62-69.
    • (1971) Zh. Eksper. Teoret. Fiz , vol.61 , pp. 118-134
    • Zakharov, V.E.1    Shabat, A.B.2
  • 26
    • 0001442403 scopus 로고
    • Interaction between solitons in a stable medium
    • = Soviet Physics JETP 37 (1973), 823-828
    • V. E. Zakharov and A. B. Shabat, Interaction between solitons in a stable medium, Zh. Eksper. Teoret. Fiz. 64(1973), 1627-1639. = Soviet Physics JETP 37 (1973), 823-828.
    • (1973) Zh. Eksper. Teoret. Fiz , vol.64 , pp. 1627-1639
    • Zakharov, V.E.1    Shabat, A.B.2
  • 27
    • 0004588290 scopus 로고
    • On a resonance interaction of wave packets in nonlinear media
    • V. E. Zakharov and S. V. Manakov, On a resonance interaction of wave packets in nonlinear media, Letters to Zh. Eksper. Teoret. Fiz. 18:7 (1973), 413--417.
    • (1973) Letters to Zh. Eksper. Teoret. Fiz , vol.18 , Issue.7
    • Zakharov, V.E.1    Manakov, S.V.2
  • 28
    • 0009000160 scopus 로고
    • Exact theory of propagation of ultrashort optical impulses in two-level media
    • = Soviet Physics JETP 39 (1974), 228-233
    • L. A. Takhtadzhyan, Exact theory of propagation of ultrashort optical impulses in two-level media, Zh. Eksper. Teoret. Fiz. 66 (1974) 476-489. = Soviet Physics JETP 39 (1974), 228-233.
    • (1974) Zh. Eksper. Teoret. Fiz , vol.66 , pp. 476-489
    • Takhtadzhyan, L.A.1
  • 30
    • 3142713471 scopus 로고
    • Complete description of solutions of the “sine-Gordon” equation
    • = Soviet Physics Dokl. 19 (1975), 824-826
    • V. E. Zakharov, L. A. Takhtadzhyan and L. D. Faddeev, Complete description of solutions of the “sine-Gordon” equation, Dokl. Akad. Nauk SSSR 219 (1974), 1334-1337. = Soviet Physics Dokl. 19 (1975), 824-826.
    • (1974) Dokl. Akad. Nauk SSSR , vol.219 , pp. 1334-1337
    • Zakharov, V.E.1    Takhtadzhyan, L.A.2    Faddeev, L.D.3
  • 31
    • 0000544179 scopus 로고
    • Waves in non-linear lattice
    • M. Toda, Waves in non-linear lattice, Progr. Theoret. Phys. Suppl. 45 (1970), 174-200.
    • (1970) Progr. Theoret. Phys , vol.45 , pp. 174-200
    • Toda, M.1
  • 32
    • 0001600405 scopus 로고
    • Integrals of the Toda lattice
    • M. Henon, Integrals of the Toda lattice, Phys. Rev. B9 (1974), 1921-1923.
    • (1974) Phys. Rev , vol.B9 , pp. 1921-1923
    • Henon, M.1
  • 35
    • 0001667615 scopus 로고
    • On the complete integrability and stochastization in discrete dynamical systems
    • S. V. Manakov, On the complete integrability and stochastization in discrete dynamical systems, Zh. Eksper. Teoret. Fiz. 67 (1974) 543-555.
    • (1974) Zh. Eksper. Teoret. Fiz , vol.67 , pp. 543-555
    • Manakov, S.V.1
  • 36
    • 0000463920 scopus 로고
    • On the Korteweg-de Vries equation
    • MR 48#9137. = Soviet Math. Dokl. 14 (1973), 1266-1270
    • A. B. Shabat, On the Korteweg-de Vries equation, Dokl. Akad. Nauk SSSR 211 (1973), 1310-1313.MR 48#9137. = Soviet Math. Dokl. 14 (1973), 1266-1270.
    • (1973) Dokl. Akad. Nauk SSSR , vol.211 , pp. 1310-1313
    • Shabat, A.B.1
  • 37
    • 0001960602 scopus 로고
    • A scheme for the integration of non-linear equations of mathematical physics by the method of inverse scattering theory. I, Funktsional
    • V. E. Zakharov and A. B. Shabat, A scheme for the integration of non-linear equations of mathematical physics by the method of inverse scattering theory. I, Funktsional. Anal, i Prilozin. 8:3 (1974), 43-53.
    • (1974) Anal, I Prilozin , vol.8 , Issue.3 , pp. 43-53
    • Zakharov, V.E.1    Shabat, A.B.2
  • 38
    • 0000079951 scopus 로고
    • The periodic Korteweg-de Vries problem I. Funktsional
    • S. P. Novikov, The periodic Korteweg-de Vries problem I. Funktsional. Anal, i Prilozhen. 8:3 (1974), 54-66.
    • (1974) Anal, I Prilozhen , vol.8 , Issue.3 , pp. 54-66
    • Novikov, S.P.1
  • 39
    • 84957128252 scopus 로고
    • The periodic problem for the Korteweg-de Vries and the Sturm-Liouville equations, Petrovskii Seminar 6
    • S. P. Novikov and B. A. Dubrovin, The periodic problem for the Korteweg-de Vries and the Sturm-Liouville equations, Petrovskii Seminar 6 March 1974, Uspekhi Mat. Nauk 29:6(1974), 196-197.
    • (1974) Uspekhi Mat. Nauk , vol.29 , Issue.6 , pp. 196-197
    • Novikov, S.P.1    Dubrovin, B.A.2
  • 40
    • 0345531328 scopus 로고
    • The inverse problem of scattering theory for periodic finite-zone potentials
    • B. A. Dubrovin, The inverse problem of scattering theory for periodic finite-zone potentials, Funktsional. Anal, i Prilozhen. 9:1 (1975), 65—66.
    • (1975) Funktsional. Anal, I Prilozhen , vol.9 , Issue.1 , pp. 65-66
    • Dubrovin, B.A.1
  • 41
    • 0003079336 scopus 로고
    • On Hill operators with finitely many lacunae, Funktsional
    • A. R. Its and V. B. Matveev, On Hill operators with finitely many lacunae, Funktsional. Anal, i Prilozhen. 9:1 (1975), 69-70.
    • (1975) Anal, I Prilozhen , vol.9 , Issue.1 , pp. 69-70
    • Its, A.R.1    Matveev, V.B.2
  • 42
    • 0002113216 scopus 로고
    • Periodic and conditionally periodic analogues of multisoliton solutions of the Korteweg-de Vries equation
    • = Soviet Physics JETP 40 (1974), 1058-1063
    • B. A. Dubrovin and S. P. Novikov, Periodic and conditionally periodic analogues of multisoliton solutions of the Korteweg-de Vries equation, Zh. Eksper. Teoret. Fiz. 67(1974), 2131-2143. = Soviet Physics JETP 40 (1974), 1058-1063.
    • (1974) Zh. Eksper. Teoret. Fiz , vol.67 , pp. 2131-2143
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 43
    • 0040446611 scopus 로고
    • The periodic problem for the Korteweg-de Vries and Sturm-Liouville equations. Their connection with algebraic geometry
    • B. A. Dubrovin and S. P. Novikov, The periodic problem for the Korteweg-de Vries and Sturm-Liouville equations. Their connection with algebraic geometry. Dokl. Akad. Nauk SSSR 219 (1974), 19-22.
    • (1974) Dokl. Akad. Nauk SSSR , vol.219 , pp. 19-22
    • Dubrovin, B.A.1    Novikov, S.P.2
  • 44
    • 0005205653 scopus 로고
    • The periodic Korteweg-de Vries problem
    • MR 50 # 7855
    • V. A. Marchenko, The periodic Korteweg-de Vries problem, Dokl. Akad. Nauk SSSR 217 (1974), 276-279. MR 50 # 7855.
    • (1974) Dokl. Akad. Nauk SSSR , vol.217 , pp. 276-279
    • Marchenko, V.A.1
  • 45
    • 0041112169 scopus 로고
    • The periodic Korteweg-de Vries problem
    • V. A. Marchenko, The periodic Korteweg-de Vries problem, Mat. Sb. 95 (1974), 331-356.
    • (1974) Mat. Sb , vol.95 , pp. 331-356
    • Marchenko, V.A.1
  • 46
    • 34250407091 scopus 로고
    • The periodic problem for the Korteweg-de Vries equation in the class of finite-zone potentials, Funktsional
    • B. V. Dubrovin, The periodic problem for the Korteweg-de Vries equation in the class of finite-zone potentials, Funktsional. Anal, i Prilozin. 9:3 (1975).
    • (1975) Anal, I Prilozin , vol.9
    • Dubrovin, B.V.1
  • 47
    • 0000289519 scopus 로고
    • Hill operators with finitely many lacunae and multisoliton solutions of the Korteweg-de Vries equation, Trudy Mat
    • A. R. Its and V. B. Matveev, Hill operators with finitely many lacunae and multisoliton solutions of the Korteweg-de Vries equation, Trudy Mat. Fiz. 23 (1975), 51-67.
    • (1975) Fiz , vol.23 , pp. 51-67
    • Its, A.R.1    Matveev, V.B.2
  • 48
    • 0040201110 scopus 로고
    • The stability of stationary waves in non-linear media with weak dispersion
    • = Soviet Physics JETP 40 (1974), 855-859
    • E. A. Kuznetsov and A. B. Mikhailov, The stability of stationary waves in non-linear media with weak dispersion, Zh. Eksper. Teoret. Fiz. 67 (1974), 1717-1727. = Soviet Physics JETP 40 (1974), 855-859.
    • (1974) Zh. Eksper. Teoret. Fiz , vol.67 , pp. 1717-1727
    • Kuznetsov, E.A.1    Mikhailov, A.B.2
  • 49
    • 84957136951 scopus 로고
    • Non-reflecting potentials against the background of finite-zone potentials, Funktsional
    • I. M. Krichever, Non-reflecting potentials against the background of finite-zone potentials, Funktsional. Anal, i Prilozhen. 9:2 (1975).
    • (1975) Anal, I Prilozhen , vol.9 , pp. 2
    • Krichever, I.M.1
  • 50
    • 0003116194 scopus 로고
    • Periodic solutions of the K-dV equation
    • P. D. Lax, Periodic solutions of the K-dV equation, Lectures in Appl. Math. 15 (1974), 85-96.
    • (1974) Lectures in Appl , vol.15 , pp. 85-96
    • Lax, P.D.1
  • 51
    • 0001772195 scopus 로고
    • Finite-zone linear operators and Abelian varieties
    • B. A. Dubrovin, Finite-zone linear operators and Abelian varieties, Uspekhi Mat. Nauk 31:4 (1976)
    • (1976) Uspekhi Mat. Nauk , vol.31
    • Dubrovin, B.A.1
  • 53
    • 0005178962 scopus 로고
    • A new method of integrating the Korteweg-de Vries equation
    • V. B. Matveev, A new method of integrating the Korteweg-de Vries equation, Uspekhi Mat. Nauk 30:6 (1975), 201-203.
    • (1975) Uspekhi Mat. Nauk , vol.30 , Issue.6 , pp. 201-203
    • Matveev, V.B.1
  • 54
    • 38949181726 scopus 로고
    • On a class of solutions of the K-dV equation
    • (Problems of mathematical physics), Leningrad University
    • A. R. Its and V. B. Matveev, On a class of solutions of the K-dV equation, in Problemy matematicheskoi fiziki (Problems of mathematical physics), No 8, Leningrad University 1976.
    • (1976) Problemy Matematicheskoi Fiziki , Issue.8
    • Its, A.R.1    Matveev, V.B.2
  • 55
    • 0003822511 scopus 로고
    • Addison-Wesley, New York, Translation: Vvedenie ? teoriyu riemanovykh poverkhnostei, Izdat. Inost. Lit., Moscow 1961
    • G. Springer, Introduction to Riemann surfaces, Addison-Wesley, New York 1957. Translation: Vvedenie ? teoriyu riemanovykh poverkhnostei, Izdat. Inost. Lit., Moscow 1961.
    • (1957) Introduction to Riemann Surfaces
    • Springer, G.1
  • 56
    • 0001194465 scopus 로고
    • Boundary problems of the theory of analytic functions Uspekhi
    • = Russian Math. Surveys 26:1 (1971), 117-192
    • E. I. Zverovich, Boundary problems of the theory of analytic functions Uspekhi Mat. Nauk 26:l (1971), 113-180. = Russian Math. Surveys 26:1 (1971), 117-192.
    • (1971) Mat. Nauk , vol.26 , Issue.1 , pp. 113-180
    • Zverovich, E.I.1
  • 57
    • 0003535788 scopus 로고
    • Gostekhizdat, Moscow, Translation: Lectures on the integration of the equations of motion of a heavy rigid body about a fixed point, Nat. Sci. Foundation, Israel Program Sci. Transl. MR 22 #7298
    • V. V. Golubev, Lektsii po integrirovaniyu uravnenii dvizheniya tyazhelogo tverdogo tela s odnoi nepodvizhnoi tochkoi, Gostekhizdat, Moscow 1953. MR 15—904. Translation: Lectures on the integration of the equations of motion of a heavy rigid body about a fixed point, Nat. Sci. Foundation, Israel Program Sci. Transl. MR 22 #7298.
    • (1953) Lektsii Po Integrirovaniyu Uravnenii Dvizheniya Tyazhelogo Tverdogo Tela S Odnoi Nepodvizhnoi Tochkoi , pp. 15-904
    • Golubev, V.V.1
  • 58
    • 84968496743 scopus 로고
    • On the determination of a Hill's equation from its spectrum
    • W. Goldberg, On the determination of a Hill's equation from its spectrum, Bull. Amer. Math. Soc. 80(1974), 1111-1112.
    • (1974) Bull. Amer. Math. Soc , vol.80 , pp. 1111-1112
    • Goldberg, W.1
  • 59
    • 0001055893 scopus 로고
    • On the spectrum of the one-dimensional Schrodinger equation with quasi-periodic potential, Funktsional
    • E. I. Dinaburg and Ya. G. Sinai, On the spectrum of the one-dimensional Schrodinger equation with quasi-periodic potential, Funktsional. Anal, i Prilozhen. 9 (1975), 8-21.
    • (1975) Anal, I Prilozhen , vol.9 , pp. 8-21
    • Dinaburg, E.I.1    Sinai, Y.G.2
  • 60
    • 84957177688 scopus 로고
    • The periodic problem for the non-linear Schrodinger equation
    • (Mathematical physics and functional analysis), Trudy FTINT Akad. Nauk Ukrain. SSR
    • V. P. Kotlyarov, The periodic problem for the non-linear Schrodinger equation, in Matematicheskaya fizika i funktsionalnyi analiz, (Mathematical physics and functional analysis), Trudy FTINT Akad. Nauk Ukrain. SSR 6 (1975).
    • (1975) Matematicheskaya Fizika I Funktsionalnyi Analiz , vol.6
    • Kotlyarov, V.P.1
  • 61
    • 84957177689 scopus 로고
    • On a class of solutions of the sine—Gordon equation
    • (Mathematical physics and functional analysis), Trudy FTINT Akad. Nauk Ukrain. SSR
    • V. A. Kozel, On a class of solutions of the sine—Gordon equation, in Matematicheskaya fizika i funkstionalnyu analiz (Mathematical physics and functional analysis), Trudy FTINT Akad. Nauk Ukrain. SSR 6 (1975).
    • (1975) Matematicheskaya Fizika I Funkstionalnyu Analiz , vol.6
    • Kozel, V.A.1
  • 62
    • 0002290012 scopus 로고
    • Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations
    • = Russian Math. Surveys 30:5 (1975), 77-113
    • I. M. Gel'fand and L. A. Dikii, Asymptotic behaviour of the resolvent of Sturm-Liouville equations and the algebra of the Korteweg-de Vries equations, Uspekhi Mat. Nauk 30:5 (1975), 67-100. = Russian Math. Surveys 30:5 (1975), 77-113.
    • (1975) Uspekhi Mat. Nauk , vol.30 , Issue.5 , pp. 67-100
    • Gel'fand, I.M.1    Dikii, L.A.2
  • 63
    • 84980148156 scopus 로고
    • Periodic solutions of the K-dV equations
    • P. D. Lax, Periodic solutions of the K-dV equations, Comm. Pure Appl. Math. 28 (1975), 141-188.
    • (1975) Comm. Pure Appl. Math , vol.28 , pp. 141-188
    • Lax, P.D.1
  • 64
    • 0038995187 scopus 로고
    • On the connection between the Hamiltonian formalisms of stationary and non-stationary problems
    • O. I. Bogoyavlenskii and S. P. Novikov, On the connection between the Hamiltonian formalisms of stationary and non-stationary problems, Funktsional Anal, i Prilozhen. 10:1 (1976).
    • (1976) Funktsional Anal, I Prilozhen , vol.10
    • Bogoyavlenskii, O.I.1    Novikov, S.P.2
  • 65
    • 34250291891 scopus 로고
    • On integrals of higher order stationary equations and the eigenvalues of Hill operators, Funktsional
    • O. I. Bogoyavlenskii, On integrals of higher order stationary equations and the eigenvalues of Hill operators, Funktsional. Anal, i Prilozhen. 10:2 (1976).
    • (1976) Anal, I Prilozhen , vol.10
    • Bogoyavlenskii, O.I.1
  • 66
    • 11644317787 scopus 로고
    • On the complete integrability of the non-linear Schrodinger equation
    • V. E. Zakharov and S. V. Manakov, On the complete integrability of the non-linear Schrodinger equation, TMF 19 (1974).
    • (1974) TMF
    • Zakharov, V.E.1    Manakov, S.V.2


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.