-
2
-
-
52449142230
-
On the exponential representation of analytic functions in the upper half-plane with positive imaginary part
-
2. N. ARONSZAJN AND W. DONOGHUE, On the exponential representation of analytic functions in the upper half-plane with positive imaginary part, J. Analyse Mathematique 5 (1956-1957), 321-388.
-
(1956)
J. Analyse Mathematique
, vol.5
, pp. 321-388
-
-
Aronszajn, N.1
Donoghue, W.2
-
4
-
-
0001560905
-
Level comparison theorems
-
4. B. BAUMGARTNER, Level comparison theorems, Ann. Phys. (N.Y.) 168 (1986), 484-526.
-
(1986)
Ann. Phys. (N.Y.)
, vol.168
, pp. 484-526
-
-
Baumgartner, B.1
-
5
-
-
0004038102
-
-
Amer. Math. Soc., Providence, RI
-
5. J. M. BEREZANSKII, "Expansions in Eigenfunctions of Self-Adjoint Operators," Transl. Math. Monographs, Vol. 17, Amer. Math. Soc., Providence, RI, 1968.
-
(1968)
"Expansions in Eigenfunctions of Self-adjoint Operators," Transl. Math. Monographs
, vol.17
-
-
Berezanskii, J.M.1
-
6
-
-
0000753745
-
Asymptotics at t → ∞ of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as x → ± ∞
-
6. R. F. BIKBAEV AND R. A. SHARIPOV, Asymptotics at t → ∞ of the solution to the Cauchy problem for the Korteweg-de Vries equation in the class of potentials with finite-gap behavior as x → ± ∞, Theoret. Math. Phys. 78 (1989), 244-252.
-
(1989)
Theoret. Math. Phys.
, vol.78
, pp. 244-252
-
-
Bikbaev, R.F.1
Sharipov, R.A.2
-
7
-
-
0003672258
-
-
preprint
-
7. W. BULLA, F. GESZTESY, H. HOLDEN, AND G. TESCHL, Algebro-geometric quasi-periodic finite-gap solutions of the Toda and Kac-van Moerbeke hierarchy, preprint, 1995.
-
(1995)
Algebro-geometric Quasi-periodic Finite-gap Solutions of the Toda and Kac-van Moerbeke Hierarchy
-
-
Bulla, W.1
Gesztesy, F.2
Holden, H.3
Teschl, G.4
-
9
-
-
0010566748
-
A discrete version of the inverse scattering problem
-
9. K. CASE AND M. KAC, A discrete version of the inverse scattering problem, J. Math. Phys. 14 (1973), 594-603.
-
(1973)
J. Math. Phys.
, vol.14
, pp. 594-603
-
-
Case, K.1
Kac, M.2
-
10
-
-
36849106604
-
On discrete inverse scattering problems. II
-
10. K. CASE, On discrete inverse scattering problems. II, J. Math. Phys. 14 (1973), 916-920.
-
(1973)
J. Math. Phys.
, vol.14
, pp. 916-920
-
-
Case, K.1
-
12
-
-
0242323275
-
Associated Sturm-Liouville systems
-
12. M. M. CRUM, Associated Sturm-Liouville systems, Quart. J. Math. Oxford (2) 6 (1955), 121-127.
-
(1955)
Quart. J. Math. Oxford (2)
, vol.6
, pp. 121-127
-
-
Crum, M.M.1
-
13
-
-
0000632780
-
Sur une proposition relative aux équations linéaires
-
13. G. DARBOUX, Sur une proposition relative aux équations linéaires, C. R. Acad. Sci. (Paris) 94 (1882), 1456-1459.
-
(1882)
C. R. Acad. Sci. (Paris)
, vol.94
, pp. 1456-1459
-
-
Darboux, G.1
-
14
-
-
84972582239
-
Applications of a commutation formula
-
14. P. A. DEIFT, Applications of a commutation formula, Duke Math. J. 45 (1978), 267-310.
-
(1978)
Duke Math. J.
, vol.45
, pp. 267-310
-
-
Deift, P.A.1
-
18
-
-
51249182129
-
An algebro-geometric interpretation of the Bäcklund transformation of the Korteweg-de Vries equation
-
18. F. EHLERS AND H. KNÖRRER, An algebro-geometric interpretation of the Bäcklund transformation of the Korteweg-de Vries equation, Comment. Math. Helv. 57 (1982), 1-10.
-
(1982)
Comment. Math. Helv.
, vol.57
, pp. 1-10
-
-
Ehlers, F.1
Knörrer, H.2
-
20
-
-
0001624848
-
The geometry of the Hill equation and of the Neumann system
-
20. N. M. ERCOLANI AND H. FLASCHKA, The geometry of the Hill equation and of the Neumann system, Phil. Trans. Roy. Soc. London Ser. A 315 (1985), 405-422.
-
(1985)
Phil. Trans. Roy. Soc. London Ser. A
, vol.315
, pp. 405-422
-
-
Ercolani, N.M.1
Flaschka, H.2
-
22
-
-
0001908034
-
An explicit solution of the inverse periodic problem for Hill's equation
-
22. A. FINKEL, E. ISAAKSON, AND E. TRUBOWITZ, An explicit solution of the inverse periodic problem for Hill's equation, SIAM J. Math. Anal. 18 (1987), 46-53.
-
(1987)
SIAM J. Math. Anal.
, vol.18
, pp. 46-53
-
-
Finkel, A.1
Isaakson, E.2
Trubowitz, E.3
-
23
-
-
0002826189
-
On solution of the Cauchy problem for the Korteweg-de Vries equation with initial data the sum of a periodic and a rapidly decreasing function
-
23. N. E. FIRSOVA, On solution of the Cauchy problem for the Korteweg-de Vries equation with initial data the sum of a periodic and a rapidly decreasing function, Math. USSR Sbornik 63 (1989), 257-265.
-
(1989)
Math. USSR Sbornik
, vol.63
, pp. 257-265
-
-
Firsova, N.E.1
-
24
-
-
0000491362
-
Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method
-
"Bäcklund Transformations, the Inverse Scattering Method, Solitons, and their Applications(R. M. Miura, Ed.), Springer, Berlin
-
24. H. FLASCHKA AND D. W. MCLAUGHLIN, Some comments on Bäcklund transformations, canonical transformations, and the inverse scattering method, in "Bäcklund Transformations, the Inverse Scattering Method, Solitons, and their Applications(R. M. Miura, Ed.), Lecture Notes in Math., Vol. 515, pp. 252-295, Springer, Berlin, 1976.
-
(1976)
Lecture Notes in Math.
, vol.515
, pp. 252-295
-
-
Flaschka, H.1
McLaughlin, D.W.2
-
26
-
-
84980193643
-
Korteweg-de Vries equation and generalizations. VI. Methods for exact solution
-
26. C. S. GARDNER, J. M. GREENE, M. D. KRUSKAL, AND R. M. MIURA, Korteweg-de Vries equation and generalizations. VI. Methods for exact solution, Commun. Pure Appl. Math. 27 (1974), 97-133.
-
(1974)
Commun. Pure Appl. Math.
, vol.27
, pp. 97-133
-
-
Gardner, C.S.1
Greene, J.M.2
Kruskal, M.D.3
Miura, R.M.4
-
27
-
-
0001649889
-
On the determination of a differential equation from its spectral function
-
27. I. M. GEL'FAND AND B. M. LEVITAN, On the determination of a differential equation from its spectral function, Amer. Math. Soc. Transl. Ser. 2 1 (1955), 253-304.
-
(1955)
Amer. Math. Soc. Transl. Ser.
, vol.21
, pp. 253-304
-
-
Gel'Fand, I.M.1
Levitan, B.M.2
-
28
-
-
0000346559
-
A complete spectral characterization of the double commutation method
-
28. F. GESZTESY, A complete spectral characterization of the double commutation method, J. Funct. Anal. 117 (1993), 401-446.
-
(1993)
J. Funct. Anal.
, vol.117
, pp. 401-446
-
-
Gesztesy, F.1
-
29
-
-
0002028453
-
Trace formulas and conservation laws for nonlinear evolution equations
-
29. F. GESZTESY AND H. HOLDEN, Trace formulas and conservation laws for nonlinear evolution equations, Rev. Math. Phys. 6 (1994), 51-95.
-
(1994)
Rev. Math. Phys.
, vol.6
, pp. 51-95
-
-
Gesztesy, F.1
Holden, H.2
-
30
-
-
0003204126
-
(m)KdV-solitons on the background of quasi-periodic finite-gap solutions
-
to appear
-
30. F. GESZTESY AND R. SVIRSKY, (m)KdV-Solitons on the background of quasi-periodic finite-gap solutions, Memoirs Amer. Math. Soc., to appear.
-
Memoirs Amer. Math. Soc.
-
-
Gesztesy, F.1
Svirsky, R.2
-
32
-
-
77956803827
-
Spectral deformations and soliton equations
-
W. F. Ames, E. M. Harrell, and J. V. Herod, Eds., Academic Press, Boston
-
32. F. GESZTESY AND R. WEIKARD, Spectral deformations and soliton equations, in "Differential Equations with Applications in Mathematical Physics" (W. F. Ames, E. M. Harrell, and J. V. Herod, Eds.), pp. 101-139, Academic Press, Boston, 1993.
-
(1993)
Differential Equations with Applications in Mathematical Physics
, pp. 101-139
-
-
Gesztesy, F.1
Weikard, R.2
-
33
-
-
38249003527
-
Critical and subcritical Jacobi operators defined as Friedrichs extensions
-
33. F. GESZTESY AND Z. ZHAO, Critical and subcritical Jacobi operators defined as Friedrichs extensions, J. Diff. Eq. 103 (1993), 68-93.
-
(1993)
J. Diff. Eq.
, vol.103
, pp. 68-93
-
-
Gesztesy, F.1
Zhao, Z.2
-
34
-
-
84966242023
-
Commutation methods applied to the mKdV equation
-
34. F. GESZTESY, W. SCHWEIGER, AND B. SIMON, Commutation methods applied to the mKdV equation, Trans. Amer. Math. Soc. 324 (1991), 465-525.
-
(1991)
Trans. Amer. Math. Soc.
, vol.324
, pp. 465-525
-
-
Gesztesy, F.1
Schweiger, W.2
Simon, B.3
-
35
-
-
0001106112
-
On the Toda and Kac-van Moerbeke systems
-
35. F. GESZTESY, H. HOLDEN, B. SIMON, AND Z. ZHAO, On the Toda and Kac-van Moerbeke systems, Trans. Amer. Math. Soc. 339 (1993), 849-868.
-
(1993)
Trans. Amer. Math. Soc.
, vol.339
, pp. 849-868
-
-
Gesztesy, F.1
Holden, H.2
Simon, B.3
Zhao, Z.4
-
36
-
-
0000591941
-
Spectral analysis of second order difference equations
-
36. D. HINTON AND R. LEWIS, Spectral analysis of second order difference equations, J. Math. Anal. Appl. 63 (1978), 421-438.
-
(1978)
J. Math. Anal. Appl.
, vol.63
, pp. 421-438
-
-
Hinton, D.1
Lewis, R.2
-
37
-
-
84941491257
-
Zur theorie der variationsrechnung und der differentialgleichungen
-
37. C. G. J. JACOBI, Zur Theorie der Variationsrechnung und der Differentialgleichungen, J. Reine Angew. Math. 17 (1837), 68-82.
-
(1837)
J. Reine Angew. Math.
, vol.17
, pp. 68-82
-
-
Jacobi, C.G.J.1
-
38
-
-
0000732670
-
Reflectionless transmission through dielectrics and scattering potentials
-
38. I. KAY AND H. E. 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.E.2
-
39
-
-
0011428293
-
Potentials with zero coefficient of reflection on a background of finite-zone potentials
-
39. I. M. KRICHEVER, Potentials with zero coefficient of reflection on a background of finite-zone potentials, Funct. Anal. Appl. 9 (1975), 161-163.
-
(1975)
Funct. Anal. Appl.
, vol.9
, pp. 161-163
-
-
Krichever, I.M.1
-
40
-
-
0000794823
-
Stability of solitary waves in nonlinear weakly dispersive media
-
40. E. A. KUZNETSOV AND A. V. MIKHAILOV, Stability of solitary waves in nonlinear weakly dispersive media, Sov. Phys. JETP 40 (1975), 855-859.
-
(1975)
Sov. Phys. JETP
, vol.40
, pp. 855-859
-
-
Kuznetsov, E.A.1
Mikhailov, A.V.2
-
42
-
-
0001388729
-
Geometry of KdV (1): Addition and the unimodular spectral classes
-
42. H. P. MCKEAN, Geometry of KdV (1): Addition and the unimodular spectral classes, Rev. Mat. Iberoamericana 2 (1986), 235-261.
-
(1986)
Rev. Mat. Iberoamericana
, vol.2
, pp. 235-261
-
-
McKean, H.P.1
-
43
-
-
0000503566
-
Geometry of KdV (2): Three examples
-
43. H. P. MCKEAN, Geometry of KdV (2): Three examples, J. Stat. Phys. 46 (1987), 1115-1143.
-
(1987)
J. Stat. Phys.
, vol.46
, pp. 1115-1143
-
-
McKean, H.P.1
-
44
-
-
0001107621
-
Growth, oscillation and comparison theorems for second order linear difference equations
-
44. W. PATULA, Growth, oscillation and comparison theorems for second order linear difference equations, SIAM J. Math. Anal. 10 (1979), 1272-1279.
-
(1979)
SIAM J. Math. Anal.
, vol.10
, pp. 1272-1279
-
-
Patula, W.1
-
45
-
-
0011466975
-
Solitons of the Korteweg-de Vries equation on the background of a known solution
-
45. A. V. RYBIN AND M. A. SALL', Solitons of the Korteweg-de Vries equation on the background of a known solution, Theoret. Math. Phys. 63 (1985), 545-550.
-
(1985)
Theoret. Math. Phys.
, vol.63
, pp. 545-550
-
-
Rybin, A.V.1
Sall', M.A.2
-
46
-
-
84976010728
-
On Schrödinger's factorization method for Sturm-Liouville operators
-
46. U.-W. SCHMINCKE, On Schrödinger's factorization method for Sturm-Liouville operators, Proc. Roy. Soc. Edinburgh Ser. A 80 (1978), 67-84.
-
(1978)
Proc. Roy. Soc. Edinburgh Ser. A
, vol.80
, pp. 67-84
-
-
Schmincke, U.-W.1
-
47
-
-
0011437984
-
Finite-zone analogues of N-multiplet solutions of the Korteweg-de Vries equation
-
47. R. A. SHARIPOV, Finite-zone analogues of N-multiplet solutions of the Korteweg-de Vries equation, Russ. Math. Surv. 41(5) (1986), 165-166.
-
(1986)
Russ. Math. Surv.
, vol.41
, Issue.5
, pp. 165-166
-
-
Sharipov, R.A.1
-
48
-
-
0011426366
-
Soliton multiplets of the Korteweg-de Vries equation
-
48. R. A. SHARIPOV, Soliton multiplets of the Korteweg-de Vries equation, Sov. Phys. Dokl. 32 (1987), 121-123.
-
(1987)
Sov. Phys. Dokl.
, vol.32
, pp. 121-123
-
-
Sharipov, R.A.1
-
49
-
-
0003516887
-
-
Oxford Univ. Press, Oxford, 2nd ed.
-
49. E. C. TITCHMARSH, "Eigenfunction Expansions associated with Second-Order Differential Equations," Part I, Oxford Univ. Press, Oxford, 2nd ed., 1962.
-
(1962)
"Eigenfunction Expansions Associated with Second-Order Differential Equations," Part I
-
-
Titchmarsh, E.C.1
-
52
-
-
84990557809
-
The Toda shock problem
-
52. S. VENAKIDES, P. DEIFT, AND R. OBA, The Toda shock problem, Commun. Pure Appl. Math. 44 (1991), 1171-1242.
-
(1991)
Commun. Pure Appl. Math.
, vol.44
, pp. 1171-1242
-
-
Venakides, S.1
Deift, P.2
Oba, R.3
-
53
-
-
0011437986
-
Bäcklund transformations of potentials of the Korteweg-de Vries equation and the interaction of solitons with cnoidal waves
-
"Bäcklund Transformations, the Inverse Scattering Method, Solitons, and their Applications" (R. M. Miura, Ed.), Springer, Berlin
-
53. H. D. WAHLQUIST, Bäcklund transformations of potentials of the Korteweg-de Vries equation and the interaction of solitons with cnoidal waves, in "Bäcklund Transformations, the Inverse Scattering Method, Solitons, and their Applications" (R. M. Miura, Ed.), Lecture Notes in Math., Vol. 515, pp. 162-183, Springer, Berlin, 1976.
-
(1976)
Lecture Notes in Math.
, vol.515
, pp. 162-183
-
-
Wahlquist, H.D.1
|