-
1
-
-
0019625186
-
The periodic cubic Schrödinger equation
-
0493.35032 628138
-
M. Ablowitz Y. Ma 1981 The periodic cubic Schrödinger equation Stud. Appl. Math. 65 113 158 0493.35032 628138
-
(1981)
Stud. Appl. Math.
, vol.65
, pp. 113-158
-
-
Ablowitz, M.1
Ma, Y.2
-
2
-
-
0003462187
-
-
Springer New York 0809.35001
-
E. Belokolos, A. Bobenko, A. B. V. Enolskii, A. Its, and V. Matveev. Algebro-Geometric Approach to Nonlinear Integrable Equations. Springer, New York, 1994.
-
(1994)
Algebro-Geometric Approach to Nonlinear Integrable Equations
-
-
Belokolos, E.1
Bobenko, A.2
Enolskii, A.B.V.3
Its, A.4
Matveev, V.5
-
3
-
-
14544291806
-
Recent developments in integrable curve dynamics
-
Australian Mathematical Society Lecture Series Cambridge University Press Cambridge
-
A. Calini. Recent developments in integrable curve dynamics. In Geometric Approaches to Differential Equations, volume 15 of Australian Mathematical Society Lecture Series, pages 56-99. Cambridge University Press, Cambridge, 2000.
-
(2000)
Geometric Approaches to Differential Equations
, vol.15
, pp. 56-99
-
-
Calini, A.1
-
4
-
-
0032359806
-
Bäcklund transformations and knots of constant torsion
-
0912.53002 10.1142/S0218216598000383 1643940
-
A. Calini T. Ivey 1998 Bäcklund transformations and knots of constant torsion J. Knot Theory Ramif. 7 719 746 0912.53002 10.1142/ S0218216598000383 1643940
-
(1998)
J. Knot Theory Ramif.
, vol.7
, pp. 719-746
-
-
Calini, A.1
Ivey, T.2
-
5
-
-
18344415616
-
Connecting geometry, topology and spectra for finite-gap NLS potentials
-
10.1016/S0167-2789(01)00154-3 1837893
-
A. Calini T. Ivey 2001 Connecting geometry, topology and spectra for finite-gap NLS potentials Physica D 152/153 9 19 10.1016/S0167-2789(01)00154-3 1837893
-
(2001)
Physica D
, vol.152-153
, pp. 9-19
-
-
Calini, A.1
Ivey, T.2
-
6
-
-
84867977343
-
Finite-gap solutions of the vortex filament equation: Genus one solutions and symmetric solutions
-
1106.35092 10.1007/s00332-004-0679-9 2173650
-
A. Calini T. Ivey 2005 Finite-gap solutions of the vortex filament equation: Genus one solutions and symmetric solutions J. Nonlinear Sci. 15 321 361 1106.35092 10.1007/s00332-004-0679-9 2173650
-
(2005)
J. Nonlinear Sci.
, vol.15
, pp. 321-361
-
-
Calini, A.1
Ivey, T.2
-
8
-
-
51149213194
-
Exact solution to localized-induction-approximation equation modeling smoke ring motion
-
10.1103/PhysRevLett.57.1507 858483
-
J. Cieśliński P. K. H. Gragert A. Sym 1986 Exact solution to localized-induction-approximation equation modeling smoke ring motion Phys. Rev. Lett. 57 1507 1510 10.1103/PhysRevLett.57.1507 858483
-
(1986)
Phys. Rev. Lett.
, vol.57
, pp. 1507-1510
-
-
Cieśliński, J.1
Gragert, P.K.H.2
Sym, A.3
-
11
-
-
84980178052
-
Multiphase averaging and the inverse spectral solution of the KdV equation
-
0454.35080 10.1002/cpa.3160330605 596433
-
H. Flaschka M. G. Forest D. W. McLaughlin 1980 Multiphase averaging and the inverse spectral solution of the KdV equation Commun. Pure Appl. Math. 33 739 784 0454.35080 10.1002/cpa.3160330605 596433
-
(1980)
Commun. Pure Appl. Math.
, vol.33
, pp. 739-784
-
-
Flaschka, H.1
Forest, M.G.2
McLaughlin, D.W.3
-
12
-
-
0002412295
-
Geometry and modulation theory for the periodic Schrödinger equation
-
IMA Volumes in Mathematics and Its Applications Springer New York
-
M. G. Forest and J. E. Lee. Geometry and modulation theory for the periodic Schrödinger equation. In Oscillation Theory, Computation, and Methods of Compensated Compactness, volume 2 of IMA Volumes in Mathematics and Its Applications, pages 35-70. Springer, New York, 1986.
-
(1986)
Oscillation Theory, Computation, and Methods of Compensated Compactness
, vol.2
, pp. 35-70
-
-
Forest, M.G.1
Lee, J.E.2
-
13
-
-
18544398398
-
3
-
10.1016/S0167-2789(01)00155-5 1837894
-
3 Physica D 152/153 20 27 10.1016/S0167-2789(01)00155-5 1837894
-
(2001)
Physica D
, vol.152-153
, pp. 20-27
-
-
Grinevich, P.G.1
-
14
-
-
0342883925
-
Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations: The nonlinear Schrödinger equation
-
10.1016/0167-2789(95)00139-U 1361671
-
P. G. Grinevich M. U. Schmidt 1995 Period preserving nonisospectral flows and the moduli space of periodic solutions of soliton equations: The nonlinear Schrödinger equation Physica D 87 73 98 10.1016/0167-2789(95)00139-U 1361671
-
(1995)
Physica D
, vol.87
, pp. 73-98
-
-
Grinevich, P.G.1
Schmidt, M.U.2
-
16
-
-
84974277983
-
A soliton on a vortex filament
-
0237.76010 10.1017/S0022112072002307
-
R. Hasimoto 1972 A soliton on a vortex filament J. Fluid Mech. 51 477 485 0237.76010 10.1017/S0022112072002307
-
(1972)
J. Fluid Mech.
, vol.51
, pp. 477-485
-
-
Hasimoto, R.1
-
18
-
-
0005613646
-
Knot types, homotopies and stability of closed elastic rods
-
1036.53001 10.1112/S0024611599011983 1702249
-
T. Ivey D. Singer 1999 Knot types, homotopies and stability of closed elastic rods Proc. Lond. Math. Soc. 79 429 450 1036.53001 10.1112/ S0024611599011983 1702249
-
(1999)
Proc. Lond. Math. Soc.
, vol.79
, pp. 429-450
-
-
Ivey, T.1
Singer, D.2
-
19
-
-
0025384799
-
Knotted vortex filaments in an ideal fluid
-
0686.76014 10.1017/S0022112090001732 1052038
-
J. P. Keener 1990 Knotted vortex filaments in an ideal fluid J. Fluid Mech. 211 629 651 0686.76014 10.1017/S0022112090001732 1052038
-
(1990)
J. Fluid Mech.
, vol.211
, pp. 629-651
-
-
Keener, J.P.1
-
20
-
-
0010762466
-
Perturbation in periodic problems for two-dimensional integrable systems
-
0847.35122
-
I. M. Krichever 1992 Perturbation in periodic problems for two-dimensional integrable systems Sov. Sci. Rev. C. Math. Phys. 9 1 103 0847.35122
-
(1992)
Sov. Sci. Rev. C. Math. Phys.
, vol.9
, pp. 1-103
-
-
Krichever, I.M.1
-
21
-
-
84990709711
-
The τ-function of the universal Whitham hierarchy, matrix models and topological field theories
-
0811.58064 10.1002/cpa.3160470403 1272384
-
I. M. Krichever 1994 The τ-function of the universal Whitham hierarchy, matrix models and topological field theories Commun. Pure Appl. Math. 47 437 475 0811.58064 10.1002/cpa.3160470403 1272384
-
(1994)
Commun. Pure Appl. Math.
, vol.47
, pp. 437-475
-
-
Krichever, I.M.1
-
22
-
-
0002846809
-
Poisson geometry of the filament equation
-
0795.35115 10.1007/BF01209148 1102831
-
J. Langer R. Perline 1991 Poisson geometry of the filament equation J. Nonlinear Sci. 1 71 93 0795.35115 10.1007/BF01209148 1102831
-
(1991)
J. Nonlinear Sci.
, vol.1
, pp. 71-93
-
-
Langer, J.1
Perline, R.2
-
23
-
-
34249767027
-
Morse and Melnikov functions for NLS Pde's
-
0808.35140 10.1007/BF02105191 1272771
-
Y. Li D. W. McLaughlin 1994 Morse and Melnikov functions for NLS Pde's Commun. Math. Phys. 162 175 214 0808.35140 10.1007/BF02105191 1272771
-
(1994)
Commun. Math. Phys.
, vol.162
, pp. 175-214
-
-
Li, Y.1
McLaughlin, D.W.2
-
24
-
-
0002063004
-
Whiskered tori for integrable Pde's: Chaotic behavior in integrable Pde's
-
Plenum New York
-
D. W. McLaughlin and E. A. Overman II. Whiskered tori for integrable Pde's: chaotic behavior in integrable Pde's. In Surveys in Applied Mathematics, volume 1, pages 83-203. Plenum, New York, 1995.
-
(1995)
Surveys in Applied Mathematics
, pp. 83-203
-
-
McLaughlin, D.W.1
Overman, I.I.E.A.2
-
25
-
-
0001288787
-
The self-linking number of a closed space curve
-
0164.54005 222777
-
W. Pohl 1968 The self-linking number of a closed space curve J. Math. Mech. 17 975 985 0164.54005 222777
-
(1968)
J. Math. Mech.
, vol.17
, pp. 975-985
-
-
Pohl, W.1
-
26
-
-
34250385489
-
Integrable Hamiltonian systems and interactions through quadratic constraints
-
10.1007/BF01609119 408535
-
K. Pohlmeyer 1976 Integrable Hamiltonian systems and interactions through quadratic constraints Commun. Math. Phys. 46 207 221 10.1007/BF01609119 408535
-
(1976)
Commun. Math. Phys.
, vol.46
, pp. 207-221
-
-
Pohlmeyer, K.1
-
27
-
-
0030420605
-
Topological ideas and fluid mechanics
-
10.1063/1.881574
-
R. L. Ricca M. A. Berger 1996 Topological ideas and fluid mechanics Phys. Today 49 28 34 10.1063/1.881574
-
(1996)
Phys. Today
, vol.49
, pp. 28-34
-
-
Ricca, R.L.1
Berger, M.A.2
-
28
-
-
0009996248
-
Differential geometry and integrability of the Hamiltonian system of a closed vortex filament
-
0873.58039 10.1023/A:1007363729148 1434234
-
N. Sasaki 1997 Differential geometry and integrability of the Hamiltonian system of a closed vortex filament Lett. Math. Phys. 39 229 241 0873.58039 10.1023/A:1007363729148 1434234
-
(1997)
Lett. Math. Phys.
, vol.39
, pp. 229-241
-
-
Sasaki, N.1
-
29
-
-
0030194545
-
Integrable systems and Riemann surfaces of infinite genus
-
M. U. Schmidt. Integrable systems and Riemann surfaces of infinite genus. Mem. Am. Math. Soc., 551, 1996.
-
(1996)
Mem. Am. Math. Soc.
, vol.551
-
-
Schmidt, M.U.1
-
30
-
-
51249182914
-
Soliton surfaces II
-
10.1007/BF02719461 700305
-
A. Sym 1983 Soliton surfaces II Lett. al Nuovo Cimento 36 307 312 10.1007/BF02719461 700305
-
(1983)
Lett. Al Nuovo Cimento
, vol.36
, pp. 307-312
-
-
Sym, A.1
-
31
-
-
0024068425
-
Vortex filament motion in terms of Jacobi theta functions
-
10.1016/0169-5983(88)90059-7
-
A. Sym 1988 Vortex filament motion in terms of Jacobi theta functions Fluid Dyn. Res. 3 151 156 10.1016/0169-5983(88)90059-7
-
(1988)
Fluid Dyn. Res.
, vol.3
, pp. 151-156
-
-
Sym, A.1
-
32
-
-
0001532065
-
Nonlinear self-modulation: An exactly solvable model
-
10.1103/PhysRevA.37.815 927221
-
C. Tracy H. Chen 1988 Nonlinear self-modulation: An exactly solvable model Phys. Rev. A 37 815 839 10.1103/PhysRevA.37.815 927221
-
(1988)
Phys. Rev. A
, vol.37
, pp. 815-839
-
-
Tracy, C.1
Chen, H.2
-
33
-
-
0000751914
-
Self-linking and the Gauss integral in higher dimensions
-
0193.50903 10.2307/2373348
-
J. White 1969 Self-linking and the Gauss integral in higher dimensions Am. J. Math. 91 693 728 0193.50903 10.2307/2373348
-
(1969)
Am. J. Math.
, vol.91
, pp. 693-728
-
-
White, J.1
-
34
-
-
0002557939
-
Exact theory of the 2-D self-focusing and the 1-D self-modulation in nonlinear media
-
406174
-
V. Zakharov A. B. Shabat 1972 Exact theory of the 2-D self-focusing and the 1-D self-modulation in nonlinear media Sov. Phys. JETP 34 62 69 406174
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
-
-
Zakharov, V.1
Shabat, A.B.2
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