-
1
-
-
84974277983
-
A soliton on a vortex filament
-
H. Hasimoto, A soliton on a vortex filament, J. Fluid Mech. 51 (1972) 477-485.
-
(1972)
J. Fluid Mech.
, vol.51
, pp. 477-485
-
-
Hasimoto, H.1
-
2
-
-
51249182914
-
A. Sym soliton surfaces II
-
A. Sym, Soliton surfaces II, Lett. Nuovo Cimento 36 (1983) 307-312.
-
(1983)
Lett. Nuovo Cimento
, vol.36
, pp. 307-312
-
-
-
3
-
-
0033271721
-
Motion of curves in hyperboloids in the Minkowski space II
-
K. Nakayama, Motion of curves in hyperboloids in the Minkowski space II, J. Phys. Soc. Japan 68 (1999) 3214-3218.
-
(1999)
J. Phys. Soc. Japan
, vol.68
, pp. 3214-3218
-
-
Nakayama, K.1
-
5
-
-
33746432561
-
Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces
-
W. K. Schief and C. Rogers, Binormal motion of curves of constant curvature and torsion. Generation of soliton surfaces, Proc. Roy. Soc. Lond. A 455 (1999) 3163-3188.
-
(1999)
Proc. Roy. Soc. Lond. A
, vol.455
, pp. 3163-3188
-
-
Schief, W.K.1
Rogers, C.2
-
6
-
-
0347703415
-
Invariant differential equations and the Adler-Gel'fand-Dikii bracket
-
A. Gonźalez-ópez, R. Herńandez, and G. Maŕi Beffa, Invariant differential equations and the Adler-Gel'fand-Dikii bracket, J. Math. Phys. 38 (1997) 5720-5738.
-
(1997)
J. Math. Phys.
, vol.38
, pp. 5720-5738
-
-
Gonźalez-Ópez, A.1
Herńandez, R.2
Maŕi Beffa, G.3
-
7
-
-
0040428613
-
The theory of differential invariants and KdV Hamiltonian evolutions
-
G. Maŕi Beffa, The theory of differential invariants and KdV Hamiltonian evolutions, Bull. Soc. Math. France 127 (1999) 363-391.
-
(1999)
Bull. Soc. Math. France
, vol.127
, pp. 363-391
-
-
Maŕi Beffa, G.1
-
9
-
-
0004456299
-
Geometric realizations of Fordy-Kulish nonlinear Schr̈odinger systems
-
J. Langer and R. Perline, Geometric realizations of Fordy-Kulish nonlinear Schr̈odinger systems, Pacific J. Math. 195 (2000) 157-178.
-
(2000)
Pacific J. Math.
, vol.195
, pp. 157-178
-
-
Langer, J.1
Perline, R.2
-
10
-
-
0001719572
-
Soliton equations and pseudospherical surfaces
-
R. Sasaki, Soliton equations and pseudospherical surfaces, Nucl. Phys. B 154 (1979) 343-357.
-
(1979)
Nucl. Phys. B
, vol.154
, pp. 343-357
-
-
Sasaki, R.1
-
11
-
-
2542480327
-
Pseudosurfaces and evolution equations
-
S. S. Chern and K. Tenenblat, Pseudosurfaces and evolution equations, Stud. Appl. Math. 74 (1986) 55-83.
-
(1986)
Stud. Appl. Math.
, vol.74
, pp. 55-83
-
-
Chern, S.S.1
Tenenblat, K.2
-
12
-
-
0008346898
-
On the determination of nonlinear PDE admitting integrable system
-
C. H. Gu and H. S. Hu, On the determination of nonlinear PDE admitting integrable system, Scientia Sinica A 15 (1986) 704-719.
-
(1986)
Scientia Sinica A
, vol.15
, pp. 704-719
-
-
Gu, C.H.1
Hu, H.S.2
-
13
-
-
0036467962
-
Integrable equations arising from motions of plane curves
-
K. S. Chou and C. Z. Qu, Integrable equations arising from motions of plane curves, Physica D 162 (2002) 9-33.
-
(2002)
Physica D
, vol.162
, pp. 9-33
-
-
Chou, K.S.1
Qu, C.Z.2
-
14
-
-
0035626842
-
The KdV equation and motion of plane curves
-
K. S. Chou and C. Z. Qu, The KdV equation and motion of plane curves, J. Phys. Soc. Japan 70 (2001) 1912-1916.
-
(2001)
J. Phys. Soc. Japan
, vol.70
, pp. 1912-1916
-
-
Chou, K.S.1
Qu, C.Z.2
-
15
-
-
0001678450
-
The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane
-
R. E. Goldstein and D. M. Petrich, The Korteweg-de Vries hierarchy as dynamics of closed curves in the plane, Phys. Rev. Lett. 67 (1991) 3203-3206.
-
(1991)
Phys. Rev. Lett.
, vol.67
, pp. 3203-3206
-
-
Goldstein, R.E.1
Petrich, D.M.2
-
16
-
-
11944273601
-
Integrability and the motion of curves
-
K. Nakayama, H. Segur, and M. Wadati, Integrability and the motion of curves, Phys. Rev. Lett. 69 (1992) 2603-2606.
-
(1992)
Phys. Rev. Lett.
, vol.69
, pp. 2603-2606
-
-
Nakayama, K.1
Segur, H.2
Wadati, M.3
-
17
-
-
84963023423
-
The shrinking of convex plane curves by the heat equation
-
M. Gage and R. Hamilton, The shrinking of convex plane curves by the heat equation, J. Diff. Geom. 23 (1986) 69-96.
-
(1986)
J. Diff. Geom.
, vol.23
, pp. 69-96
-
-
Gage, M.1
Hamilton, R.2
-
18
-
-
84972499852
-
Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations
-
Y. G. Chen, S. Giga, and Y. Goto, Uniqueness and existence of viscosity solutions of generalized mean curvature flow equations, J. Diff. Geom. 33 (1991) 749-786.
-
(1991)
J. Diff. Geom.
, vol.33
, pp. 749-786
-
-
Chen, Y.G.1
Giga, S.2
Goto, Y.3
-
19
-
-
84972518016
-
Motion of level sets by mean curvature i
-
L. C. Evans and J. Spruck, Motion of level sets by mean curvature I, J. Diff. Geom. 33 (1991) 635-681.
-
(1991)
J. Diff. Geom.
, vol.33
, pp. 635-681
-
-
Evans, L.C.1
Spruck, J.2
-
20
-
-
44749084234
-
Fronts propagation with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations
-
S. Osher and J. A. Sethian, Fronts propagation with curvature dependent speed: Algorithms based on Hamilton-Jacobi formulations, J. Comp. Phys. 79 (1988) 12-49.
-
(1988)
J. Comp. Phys.
, vol.79
, pp. 12-49
-
-
Osher, S.1
Sethian, J.A.2
-
22
-
-
33747812053
-
Axioms and fundamental equation of image processing
-
L. Alvarez, F. Guichard, P. L. Lions, and J. M. Morel, Axioms and fundamental equation of image processing, Arch. Ratl. Mech. Anal. 123 (1993) 199-257.
-
(1993)
Arch. Ratl. Mech. Anal.
, vol.123
, pp. 199-257
-
-
Alvarez, L.1
Guichard, F.2
Lions, P.L.3
Morel, J.M.4
-
23
-
-
0001041397
-
On invariant curve evolution and image analysis
-
G. Sapiro and A. Tannenbaum, On invariant curve evolution and image analysis, Indiana Univ. Math. J. 42 (1993) 985-1009.
-
(1993)
Indiana Univ. Math. J.
, vol.42
, pp. 985-1009
-
-
Sapiro, G.1
Tannenbaum, A.2
-
25
-
-
0002537667
-
Differential invariant signatures and flows in computer vision: A symmetry group approach
-
B. M. Ter Haar Romeny, ed Kluwer, Dordrecht
-
P. J. Olver, G. Sapiro, and A. Tannenbaum, Differential invariant signatures and flows in computer vision: A symmetry group approach, in Geometry Driven Diffusion in Computer Vision, B. M. Ter Haar Romeny, ed., 205-306, Kluwer, Dordrecht, 1994.
-
(1994)
Geometry Driven Diffusion in Computer Vision
, pp. 205-306
-
-
Olver, P.J.1
Sapiro, G.2
Tannenbaum, A.3
-
27
-
-
0036643124
-
Integrable motions of space curves in affine geometry
-
K. S. Chou and C. Z. Qu, Integrable motions of space curves in affine geometry, Chaos Solitons Fractals 14 (2002) 29-44.
-
(2002)
Chaos Solitons Fractals
, vol.14
, pp. 29-44
-
-
Chou, K.S.1
Qu, C.Z.2
-
28
-
-
0038789009
-
Integrable systems arising from motions of curves in similarity geometries
-
K. S. Chou and C. Z. Qu, Integrable systems arising from motions of curves in similarity geometries, Chaos Solitons Fractals 19 (2004) 47-53.
-
(2004)
Chaos Solitons Fractals
, vol.19
, pp. 47-53
-
-
Chou, K.S.1
Qu, C.Z.2
-
31
-
-
84963062938
-
Lie algebras of vector fields in the real plane
-
A. Gonźalez-ópez, N. Kamran, and P. Olver, Lie algebras of vector fields in the real plane, Proc. London Math. Soc. 64 (1992), 339-368.
-
(1992)
Proc. London Math. Soc.
, vol.64
, pp. 339-368
-
-
Gonźalez-López, A.1
Kamran, N.2
Olver, P.3
-
32
-
-
0000287170
-
An elementary geometric characterization of the integrable motions of a curve
-
A. Doliwa and P. M. Santini, An elementary geometric characterization of the integrable motions of a curve, Phys. Lett. A 85 (1994) 373-384.
-
(1994)
Phys. Lett. A
, vol.85
, pp. 373-384
-
-
Doliwa, A.1
Santini, P.M.2
-
33
-
-
0000315041
-
Soliton surfaces and their applications (Soliton geometry for spectral problem) in Geometrical Aspects of the Einstein Equations
-
Springer, Berlin
-
A. Sym, Soliton surfaces and their applications (Soliton geometry for spectral problem) in Geometrical Aspects of the Einstein Equations, Lecture Notes in Physics, 239, Springer, Berlin, 1985, 154-231.
-
(1985)
Lecture Notes in Physics
, vol.239
, pp. 154-231
-
-
Sym, A.1
-
34
-
-
0030529761
-
Surfaces on Lie groups, on Lie algebras, and their integrability
-
A. S. Fokas and I. M. Gelfand, Surfaces on Lie groups, on Lie algebras, and their integrability, Commun. Math. Phys. 177 (1996), 203-220.
-
(1996)
Commun. Math. Phys.
, vol.177
, pp. 203-220
-
-
Fokas, A.S.1
Gelfand, I.M.2
-
35
-
-
0034164773
-
Deformations of surfaces associated with integrable Gauss-Mainardi- Codazzi equations
-
Ö . Ceyhan, A. S. Fokas, andM. Gürses, Deformations of surfaces associated with integrable Gauss-Mainardi-Codazzi equations, J. Math. Phys. 41 (2000) 2251-2270.
-
(2000)
J. Math. Phys.
, vol.41
, pp. 2251-2270
-
-
Ceyhan, Ö.1
Fokas, A.S.2
Gürses, M.3
-
36
-
-
0039658601
-
Curved flats and isothermic surfaces
-
F. Burstall, U. Hertrich-Jeromin, F. Pedit, and U. Pinkall, Curved flats and isothermic surfaces, Math. Z. 225 (1997) 199-209. (Pubitemid 127385527)
-
(1997)
Mathematische Zeitschrift
, vol.225
, Issue.2
, pp. 199-209
-
-
Burstall, F.1
Hertrich-Jeromin, U.2
Pedit, F.3
Pinkall, U.4
-
38
-
-
0002106116
-
Induced surfaces and their integrable dynamics
-
B. G. Konopelchenko, Induced surfaces and their integrable dynamics, Stud. Appl. Math. 96 (1996) 9-51. (Pubitemid 126351514)
-
(1996)
Studies in Applied Mathematics
, vol.96
, Issue.1
, pp. 9-51
-
-
Konopelchenko, B.G.1
-
39
-
-
0040631842
-
Loewner transformations: Adjoint and binary Darboux connections
-
W. K. Schief and C. Rogers, Loewner transformations: Adjoint and binary Darboux connections, Stud. Appl. Math. 100 (1998) 391-422.
-
(1998)
Stud. Appl. Math.
, vol.100
, pp. 391-422
-
-
Schief, W.K.1
Rogers, C.2
-
40
-
-
0032371403
-
On the simplest (2+1) Dimensional integrable spin systems and their equivalent nonlinear schr̈odinger equations
-
R. Myrzakulov, S. Vijayalakshmi, R. N. Syzdykova, and M. Lakshmanan, On the simplest (2+1) dimensional integrable spin systems and their equivalent nonlinear Schr̈odinger equations, J. Math. Phys. 39 (1998) 2122-2140.
-
(1998)
J. Math. Phys.
, vol.39
, pp. 2122-2140
-
-
Myrzakulov, R.1
Vijayalakshmi, S.2
Syzdykova, R.N.3
Lakshmanan, M.4
-
41
-
-
0032376440
-
A. danlybaeva motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions
-
M. Lakshmanan, R. Myrzakulov, S. Vijayalakshmi, and A. Danlybaeva, Motion of curves and surfaces and nonlinear evolution equations in (2+1) dimensions, J. Math. Phys. 39 (1998) 3765-3771.
-
(1998)
J. Math. Phys.
, vol.39
, pp. 3765-3771
-
-
Lakshmanan, M.1
Myrzakulov, R.2
Vijayalakshmi, S.3
-
42
-
-
0036255355
-
Geometric motions of surfaces and 2+1-dimensional integrable equations
-
K. S. Chou and C. Z. Qu, Geometric motions of surfaces and 2+1-dimensional integrable equations, J. Phys. Soc. Japan 71 (2002) 1039-1043.
-
(2002)
J. Phys. Soc. Japan
, vol.71
, pp. 1039-1043
-
-
Chou, K.S.1
Qu, C.Z.2
-
43
-
-
0000738529
-
Modified novikov-veselov equation and differential geometry of surfaces
-
I. A. Taimanov, Modified Novikov-Veselov equation and differential geometry of surfaces, Transl. Amer. Math. Soc. Ser 2 179 (1997) 133-151.
-
(1997)
Transl. Amer. Math. Soc. ser
, vol.2
, Issue.179
, pp. 133-151
-
-
Taimanov, I.A.1
-
44
-
-
0033197037
-
Stationary veselov-novikov equation and isothermally asymptotic surfaces in projective differential geometry
-
E.V. Ferapontov, StationaryVeselov-Novikov equation and isothermally asymptotic surfaces in projective differential geometry, Diff. Geom. Appl. 11 (1999) 117-128.
-
(1999)
Diff. Geom. Appl.
, vol.11
, pp. 117-128
-
-
Ferapontov, E.V.1
-
45
-
-
0034392120
-
Lie sphere geometry and integrable systems
-
E. V. Ferapontov, Lie sphere geometry and integrable systems, Tohoku Math. J. 52 (2000) 199-233.
-
(2000)
Tohoku Math. J.
, vol.52
, pp. 199-233
-
-
Ferapontov, E.V.1
-
46
-
-
0001026321
-
On solitons, compactons, and Lagrange maps
-
DOI 10.1016/0375-9601(95)00933-7
-
P. Rosenau, On solitons, compactons, and Lagrange maps, Phys. Lett. A 211 (1996) 265-275. (Pubitemid 126392798)
-
(1996)
Physics Letters, Section A: General, Atomic and Solid State Physics
, vol.211
, Issue.5
, pp. 265-275
-
-
Rosenau, P.1
-
47
-
-
12044253199
-
Compactons: Solitons with finite wavelength
-
P. Rosenau and J. M. Hyman, Compactons: Solitons with finite wavelength, Phys. Rev. Lett. 70 (1993) 564-567.
-
(1993)
Phys. Rev. Lett.
, vol.70
, pp. 564-567
-
-
Rosenau, P.1
Hyman, J.M.2
-
48
-
-
0034626343
-
Compact and noncompact dispersive patterns
-
P. Rosenau, Compact and noncompact dispersive patterns, Phys. Lett. A 275 (2000) 193-203.
-
(2000)
Phys. Lett. A
, vol.275
, pp. 193-203
-
-
Rosenau, P.1
-
49
-
-
0001248624
-
Painlev'e integrability of two sets of nonlinear evolution equations with nonlinear dispersions
-
S. Y. Lou and Q. X. Wu, Painlev'e integrability of two sets of nonlinear evolution equations with nonlinear dispersions, Phys. Lett. A 262 (1999) 344-349.
-
(1999)
Phys. Lett. A
, vol.262
, pp. 344-349
-
-
Lou, S.Y.1
Wu, Q.X.2
-
50
-
-
0002641090
-
Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform
-
F. Calogero and A. Degasperis, Reduction technique for matrix nonlinear evolution equations solvable by the spectral transform, J. Math. Phys. 22 (1981) 23-31.
-
(1981)
J. Math. Phys.
, vol.22
, pp. 23-31
-
-
Calogero, F.1
Degasperis, A.2
-
51
-
-
36849110505
-
Korteweg-de Vries equations and generalizations I. A remarkable explicit nonlinear transformations
-
R. M. Miura, Korteweg-de Vries equations and generalizations I. A remarkable explicit nonlinear transformations, J. Math. Phys. 9 (1968) 1202-1204.
-
(1968)
J. Math. Phys.
, vol.9
, pp. 1202-1204
-
-
Miura, R.M.1
-
52
-
-
36749115773
-
On the remarkable nonlinear diffusion equation ∂∂x[a(u + B) ?2∂u∂x] ? ∂u∂t = 0 J
-
G. W. Bluman and S. Kumei, On the remarkable nonlinear diffusion equation ∂/∂x[a(u + b) ?2∂u/∂x] ? ∂u/∂t = 0, J. Math. Phys. 21 (1980) 1019-1023.
-
(1980)
Math. Phys.
, vol.21
, pp. 1019-1023
-
-
Bluman, G.W.1
Kumei, S.2
|