-
1
-
-
1342333908
-
Dynamics of bright matter-wave solitons in a Bose-Einstein condensate with inhomogeneous scattering length
-
F. KH. ABDULLAEV, A. GAMMAL, AND L. TOMIO, Dynamics of bright matter-wave solitons in a Bose-Einstein condensate with inhomogeneous scattering length, J. Phys. B, 37 (2004), pp. 635-651.
-
(2004)
J. Phys. B
, vol.37
, pp. 635-651
-
-
Abdullaev, F.K.H.1
Gammal, A.2
Tomio, L.3
-
2
-
-
0002004721
-
Solitons, nonlinear evolution equations and inverse scattering
-
Cambridge University Press, Cambridge, UK
-
M. J. ABLOWITZ AND P. A. CLARKSON, Solitons, Nonlinear Evolution Equations and Inverse Scattering, London Math. Soc. Lecture Note Ser. 149, Cambridge University Press, Cambridge, UK, 1991.
-
(1991)
London Math. Soc. Lecture Note Ser.
, vol.149
-
-
Ablowitz, M.J.1
Clarkson, P.A.2
-
3
-
-
0018478959
-
Solitary wave collisions
-
M. J. ABLOWITZ, M. D. KRUSKAL, AND J. F. LADIK, Solitary wave collisions, SIAM J. Appl. Math., 36 (1979), pp. 428-437.
-
(1979)
SIAM J. Appl. Math.
, vol.36
, pp. 428-437
-
-
Ablowitz, M.J.1
Kruskal, M.D.2
Ladik, J.F.3
-
6
-
-
28844468864
-
Dark soliton past a finite size obstacle
-
N. BILAS AND N. PAVLOFF, Dark soliton past a finite size obstacle, Phys. Rev. A, 72 (2005), 033618; also available online from http://link.aps.org/ abstract/PRA/v72/e033618.
-
(2005)
Phys. Rev. A
, vol.72
, pp. 033618
-
-
Bilas, N.1
Pavloff, N.2
-
7
-
-
0001436320
-
Resonance in the collision of two discrete intrinsic localized excitations
-
D. CAI, A. R. BISHOP, AND N. GRONBECH-JENSEN, Resonance in the collision of two discrete intrinsic localized excitations, Phys. Rev. E, 56 (1997), pp. 7246-7252.
-
(1997)
Phys. Rev. E
, vol.56
, pp. 7246-7252
-
-
Cai, D.1
Bishop, A.R.2
Gronbech-Jensen, N.3
-
8
-
-
0000025724
-
On the geometry of an atmospheric slow manifold
-
R. CAMASSA, On the geometry of an atmospheric slow manifold, Phys. D, 84 (1995), pp. 357-397.
-
(1995)
Phys. D
, vol.84
, pp. 357-397
-
-
Camassa, R.1
-
9
-
-
45949127267
-
Kink-antikink interactions in the double sine-Gordon equation
-
D. K. CAMPBELL AND M. PEYRARD, Kink-antikink interactions in the double sine-Gordon equation, Phys. D, 19 (1986), pp. 165-205.
-
(1986)
Phys. D
, vol.19
, pp. 165-205
-
-
Campbell, D.K.1
Peyrard, M.2
-
10
-
-
0002086762
-
Solitary wave collisions revisited
-
D. K. CAMPBELL AND M. PEYRARD, Solitary wave collisions revisited, Phys. D, 18 (1986), pp. 47-53.
-
(1986)
Phys. D
, vol.18
, pp. 47-53
-
-
Campbell, D.K.1
Peyrard, M.2
-
12
-
-
0012097571
-
A universal instability of many-dimensional oscillator systems
-
B. V. CHIRIKOV, A universal instability of many-dimensional oscillator systems, Phys. Rep., 52 (1979), pp. 264-379.
-
(1979)
Phys. Rep.
, vol.52
, pp. 264-379
-
-
Chirikov, B.V.1
-
13
-
-
0036501083
-
Exponential time differencing for stiff systems
-
S. M. COX AND P. C. MATTHEWS, Exponential time differencing for stiff systems, J. Comput. Phys., 176 (2002), pp. 430-455.
-
(2002)
J. Comput. Phys.
, vol.176
, pp. 430-455
-
-
Cox, S.M.1
Matthews, P.C.2
-
14
-
-
1442281312
-
Energy exchange in collisions of intrinsic localized modes
-
Y. DOI, Energy exchange in collisions of intrinsic localized modes, Phys. Rev. E, 68 (2003), 066608.
-
(2003)
Phys. Rev. E
, vol.68
, pp. 066608
-
-
Doi, Y.1
-
16
-
-
5844421472
-
Exit times and transport for symplectic twist maps
-
R. W. EASTON, J. D. MEISS, AND S. CARVER, Exit times and transport for symplectic twist maps, Chaos, 3 (1993), pp. 153-165.
-
(1993)
Chaos
, vol.3
, pp. 153-165
-
-
Easton, R.W.1
Meiss, J.D.2
Carver, S.3
-
18
-
-
0009392108
-
Resonant kink-impurity interactions in the sine-Gordon model
-
Z. FEI, Y. S. KIVSHAR, AND L. VÁZQUEZ, Resonant kink-impurity interactions in the sine-Gordon model, Phys. Rev. A, 45 (1992), pp. 6019-6030.
-
(1992)
Phys. Rev. A
, vol.45
, pp. 6019-6030
-
-
Fei, Z.1
Kivshar, Y.S.2
Vázquez, L.3
-
19
-
-
20044395494
-
Quasi-continuum approximation for discrete breathers in Fermi-Pasta-Ulam atomic chains
-
B. F. FENG, Y. DOI, AND T. KAWAHARA, Quasi-continuum approximation for discrete breathers in Fermi-Pasta-Ulam atomic chains, J. Phys. Soc. Japan, 73 (2004), pp. 2100-2111.
-
(2004)
J. Phys. Soc. Japan
, vol.73
, pp. 2100-2111
-
-
Feng, B.F.1
Doi, Y.2
Kawahara, T.3
-
20
-
-
36049057587
-
Method for solving the Korteweg-de Vries equation
-
C. S. GARDNER, J. M. GREENE, M. D. KRUSKAL, AND R. M. MIURA, Method for solving the Korteweg-de Vries equation, Phys. Rev. Lett., 19 (1967), pp. 1095-1097.
-
(1967)
Phys. Rev. Lett.
, vol.19
, pp. 1095-1097
-
-
Gardner, C.S.1
Greene, J.M.2
Kruskal, M.D.3
Miura, R.M.4
-
21
-
-
3342892305
-
Interaction of sine-Gordon kinks with defects: The two-bounce resonance
-
R. H. GOODMAN AND R. HABERMAN, Interaction of sine-Gordon kinks with defects: The two-bounce resonance, Phys. D, 195 (2004), pp. 303-323.
-
(2004)
Phys. D
, vol.195
, pp. 303-323
-
-
Goodman, R.H.1
Haberman, R.2
-
22
-
-
33644925128
-
Vector soliton interactions in birefringent optical fibers
-
R. H. GOODMAN AND R. HABERMAN, Vector soliton interactions in birefringent optical fibers, Phys. Rev. E, 71 (2005), 055065.
-
(2005)
Phys. Rev. E
, vol.71
, pp. 055065
-
-
Goodman, R.H.1
Haberman, R.2
-
23
-
-
0036137286
-
Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model
-
R. H. GOODMAN, P.J. HOLMES, AND M.I. WEINSTEIN, Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model, Phys. D, 161 (2002), pp. 21-44.
-
(2002)
Phys. D
, vol.161
, pp. 21-44
-
-
Goodman, R.H.1
Holmes, P.J.2
Weinstein, M.I.3
-
24
-
-
0038330810
-
Stopping light on a defect
-
R. H. GOODMAN, R. E. SLUSHER, AND M. I. WEINSTEIN, Stopping light on a defect, J. Opt. Soc. Amer. B Opt. Phys., 19 (2002), pp. 1635-1632.
-
(2002)
J. Opt. Soc. Amer. B Opt. Phys.
, vol.19
, pp. 1635-11632
-
-
Goodman, R.H.1
Slusher, R.E.2
Weinstein, M.I.3
-
25
-
-
42749107019
-
Kink propagation and trapping in a two-dimensional curved Josephson junction
-
C. GORRIA, YU. B. GAIDIDEI, M. P. SOERENSEN, P. L. CHRISTIANSEN, AND J. G. CAPUTO, Kink propagation and trapping in a two-dimensional curved Josephson junction, Phys. Rev. B, 69 (2004), 134506.
-
(2004)
Phys. Rev. B
, vol.69
, pp. 134506
-
-
Gorria, C.1
Gaididei, Yu.B.2
Soerensen, M.P.3
Christiansen, P.L.4
Caputo, J.G.5
-
26
-
-
0003478288
-
-
Springer-Verlag, New York
-
J. GUCKENHEIMER. AND P. HOLMES, Nonlinear oscillations, dynamical systems, and bifurcations of vector fields, Springer-Verlag, New York, 1983.
-
(1983)
Nonlinear Oscillations, Dynamical Systems, and Bifurcations of Vector Fields
-
-
Guckenheimer, J.1
Holmes, P.2
-
27
-
-
0001811061
-
ODEPACK, a systematized collection of ODE solvers
-
in Scientific Computing, R. S. Stepleman, ed., IMACS, New Brunswick, NJ
-
A. C. HINDMARSH, ODEPACK, a systematized collection of ODE solvers, in Scientific Computing, R. S. Stepleman, ed., MACS Trans. Sci. Comput. 1, IMACS, New Brunswick, NJ, 1983, pp. 55-64.
-
(1983)
MACS Trans. Sci. Comput.
, vol.1
, pp. 55-64
-
-
Hindmarsh, A.C.1
-
28
-
-
22544474620
-
Fourth order time-stepping for stiff PDEs
-
A.-K. KASSAM AND L. N. TREFETHEN, Fourth order time-stepping for stiff PDEs, SIAM J. Sci. Comput., 26 (2005), pp. 1214-1233.
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 1214-1233
-
-
Kassam, A.-K.1
Trefethen, L.N.2
-
29
-
-
33744739894
-
Collisions
-
A. Scott, ed., Routledge, New York
-
P. G. KEVREKIDIS AND S. V. DMITRIEV, Collisions, in The Encyclopedia of Nonlinear Science, A. Scott, ed., Routledge, New York, 2004, pp. 148-150.
-
(2004)
The Encyclopedia of Nonlinear Science
, pp. 148-150
-
-
Kevrekidis, P.G.1
Dmitriev, S.V.2
-
30
-
-
0000793261
-
Resonant soliton-impurity interactions
-
Y. S. KIVSHAR, Z. FEI, AND L. VAZQUEZ, Resonant soliton-impurity interactions, Phys. Rev. Lett., 67 (1991), pp. 1177-1180.
-
(1991)
Phys. Rev. Lett.
, vol.67
, pp. 1177-1180
-
-
Kivshar, Y.S.1
Fei, Z.2
Vazquez, L.3
-
32
-
-
77956705971
-
Variational methods in nonlinear fiber optics and related fields
-
B. A. MALOMED, Variational methods in nonlinear fiber optics and related fields, Prog. Opt., 43 (2002), pp. 71-193.
-
(2002)
Prog. Opt.
, vol.43
, pp. 71-193
-
-
Malomed, B.A.1
-
33
-
-
21744449703
-
Average exit times for volume-preserving maps
-
J. D. MEISS, Average exit times for volume-preserving maps, Chaos, 7 (1997), pp. 139-147.
-
(1997)
Chaos
, vol.7
, pp. 139-147
-
-
Meiss, J.D.1
-
34
-
-
0001834849
-
On the stability of the center for time periodic perturbations
-
V. K. MELNIKOV, On the stability of the center for time periodic perturbations, Trans. Moscow Math. Soc., 12 (1963), pp. 1-57.
-
(1963)
Trans. Moscow Math. Soc.
, vol.12
, pp. 1-57
-
-
Melnikov, V.K.1
-
35
-
-
0003372334
-
Solitons in mathematics and physics
-
SIAM, Philadelphia, PA
-
A. C. NEWELL, Solitons in Mathematics and Physics, CBMS-NSF Regional Conf. Ser. in Appl. Math. 48, SIAM, Philadelphia, PA, 1985.
-
(1985)
CBMS-NSF Regional Conf. Ser. in Appl. Math.
, vol.48
-
-
Newell, A.C.1
-
36
-
-
0346910462
-
Soliton collisions in the discrete nonlinear Schrödinger equation
-
I. E. PAPACHARALAMPOUS, P. G. KEVREKIDIS, B. A. MALOMED, AND D. J. FRANTZESKAKIS, Soliton collisions in the discrete nonlinear Schrödinger equation, Phys. Rev. E, 68 (2003), 046604.
-
(2003)
Phys. Rev. E
, vol.68
, pp. 046604
-
-
Papacharalampous, I.E.1
Kevrekidis, P.G.2
Malomed, B.A.3
Frantzeskakis, D.J.4
-
37
-
-
50549175042
-
A model unified field equation
-
J. K. PERRING AND T. H. R. SKYRME, A model unified field equation, Nuclear Phys., 31 (1962), pp. 550-555.
-
(1962)
Nuclear Phys.
, vol.31
, pp. 550-555
-
-
Perring, J.K.1
Skyrme, T.H.R.2
-
38
-
-
0002686546
-
Kink-antikink interactions in a modified sine-Gordon model
-
M. PEYRARD AND D. K. CAMPBELL, Kink-antikink interactions in a modified sine-Gordon model, Phys. D, 9 (1983), pp. 33-51.
-
(1983)
Phys. D
, vol.9
, pp. 33-51
-
-
Peyrard, M.1
Campbell, D.K.2
-
39
-
-
0000215808
-
Soliton dynamics in new models with parameterized periodic double-well and asymmetric substrate potentials
-
M. REMOISSENET AND M. PEYRARD, Soliton dynamics in new models with parameterized periodic double-well and asymmetric substrate potentials, Phys. Rev. B, 29 (1984), pp. 3153-3166.
-
(1984)
Phys. Rev. B
, vol.29
, pp. 3153-3166
-
-
Remoissenet, M.1
Peyrard, M.2
-
40
-
-
0001301218
-
Transport rates of a class of two-dimensional maps and flows
-
V. ROM-KEDAR, Transport rates of a class of two-dimensional maps and flows, Phys. D, 43 (1990), pp. 229-268.
-
(1990)
Phys. D
, vol.43
, pp. 229-268
-
-
Rom-Kedar, V.1
-
41
-
-
10044277502
-
Homoclinic tangles - Classification and applications
-
V. ROM-KEDAR., Homoclinic tangles - classification and applications, Nonlinearity, 7 (1994), pp. 441-473.
-
(1994)
Nonlinearity
, vol.7
, pp. 441-473
-
-
Rom-Kedar, V.1
-
43
-
-
33644914586
-
Solitons, a brief history
-
A. Scott, ed., Routledge, New York
-
A. SCOTT, Solitons, a brief history, in The Encyclopedia of Nonlinear Science, A. Scott, ed., Routledge, New York, 2004, pp. 852-855.
-
(2004)
The Encyclopedia of Nonlinear Science
, pp. 852-855
-
-
Scott, A.1
-
45
-
-
0035510330
-
Complexity and regularity of vector-soliton collisions
-
Y. TAN AND J. YANG, Complexity and regularity of vector-soliton collisions, Phys. R.ev. E, 64 (2001), 056616.
-
(2001)
Phys. R.ev. E
, vol.64
, pp. 056616
-
-
Tan, Y.1
Yang, J.2
-
46
-
-
0344845500
-
Spectral methods in MATLAB
-
SIAM, Philadelphia
-
L. N. TREFETHEN, Spectral methods in MATLAB, Software Environ. Tools 10, SIAM, Philadelphia, 2000.
-
(2000)
Software Environ. Tools
, vol.10
-
-
Trefethen, L.N.1
-
47
-
-
11644266903
-
Dynamics of coupled solitons in nonlinear optical fibers
-
T. UEDA AND W. L. KATH, Dynamics of coupled solitons in nonlinear optical fibers, Phys. Rev. A, 42 (1990), pp. 563-571.
-
(1990)
Phys. Rev. A
, vol.42
, pp. 563-571
-
-
Ueda, T.1
Kath, W.L.2
-
48
-
-
0034402034
-
Horseshoes in two-degree-of-freedom Hamiltonian systems with saddle-centers
-
K. YAGASAKI, Horseshoes in two-degree-of-freedom Hamiltonian systems with saddle-centers, Arch. Ration. Mech. Anal., 154 (2000), pp. 275-296.
-
(2000)
Arch. Ration. Mech. Anal.
, vol.154
, pp. 275-296
-
-
Yagasaki, K.1
-
50
-
-
0034298185
-
Fractal structure in the collision of vector solitons
-
J. YANG AND Y. TAN, Fractal structure in the collision of vector solitons, Phys. Rev. Lett., 85 (2000), pp. 3624-3627.
-
(2000)
Phys. Rev. Lett.
, vol.85
, pp. 3624-3627
-
-
Yang, J.1
Tan, Y.2
-
51
-
-
33846361348
-
Interactions of solitons in a collisionless plasma and the recurrence of initial states
-
N. J. ZABUSKY AND M. D. KRUSKAL, Interactions of solitons in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett., 15 (1965), pp. 240-243.
-
(1965)
Phys. Rev. Lett.
, vol.15
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
|