-
1
-
-
0001460826
-
Interaction of discrete breathers with impurity modes
-
Forinash K., Peyrard M., Malomed B., Interaction of discrete breathers with impurity modes. Phys. Rev. E. 49:1994;3400-3411.
-
(1994)
Phys. Rev. E
, vol.49
, pp. 3400-3411
-
-
Forinash, K.1
Peyrard, M.2
Malomed, B.3
-
3
-
-
0001437633
-
Localization decay induced by strong nonlinearity in disordered systems
-
Kivshar Y.S., Gredeskul S.A., Sánchez A., Vázquez L., Localization decay induced by strong nonlinearity in disordered systems. Phys. Rev. Lett. 64(15):1990;1693-1696.
-
(1990)
Phys. Rev. Lett.
, vol.64
, Issue.15
, pp. 1693-1696
-
-
Kivshar, Y.S.1
Gredeskul, S.A.2
Sánchez, A.3
Vázquez, L.4
-
4
-
-
0000443452
-
Nonlinear scattering and analyticity properties of solitons
-
Bronski J., Nonlinear scattering and analyticity properties of solitons. J. Nonlin. Sci. 8(2):1998;161-182.
-
(1998)
J. Nonlin. Sci.
, vol.8
, Issue.2
, pp. 161-182
-
-
Bronski, J.1
-
5
-
-
0036137286
-
Interaction of sine-Gordon kinks with defects: Phase space transport in a two-mode model
-
Goodman R.H., Holmes P.J., Weinstein M.I., Interaction of sine-Gordon kinks with defects: phase space transport in a two-mode model. Physica D. 161:2002;21-44.
-
(2002)
Physica D
, vol.161
, pp. 21-44
-
-
Goodman, R.H.1
Holmes, P.J.2
Weinstein, M.I.3
-
6
-
-
0007603725
-
Soliton-defect collisions in the nonlinear Schrödinger equation
-
Cao X.D., Malomed B.A., Soliton-defect collisions in the nonlinear Schrödinger equation. Phys. Lett. A. 206:1995;177-182.
-
(1995)
Phys. Lett. A
, vol.206
, pp. 177-182
-
-
Cao, X.D.1
Malomed, B.A.2
-
7
-
-
0003871449
-
-
Springer-Verlag, New York
-
S. Albeverio, F. Gesztesy, R. Hëgh-Krohn, H. Holden, Solvable Models in Quantum Mechanics, Springer-Verlag, New York, 1988.
-
(1988)
Solvable Models in Quantum Mechanics
-
-
Albeverio, S.1
Gesztesy, F.2
Hëgh-Krohn, R.3
Holden, H.4
-
8
-
-
0033235140
-
k,p continuity of the Schrödinger wave operators on the line
-
k,p continuity of the Schrödinger wave operators on the line Commun. Math. Phys. 208:1999;507-520.
-
(1999)
Commun. Math. Phys.
, vol.208
, pp. 507-520
-
-
Weder, R.1
-
9
-
-
84990617895
-
Commutator estimates and the Euler and Navier-Stokes equations
-
Kato T., Ponce G., Commutator estimates and the Euler and Navier-Stokes equations. Commun. Pure Appl. Math. 41:1988;891-907.
-
(1988)
Commun. Pure Appl. Math.
, vol.41
, pp. 891-907
-
-
Kato, T.1
Ponce, G.2
-
10
-
-
0002557939
-
Exact theory of two-dimensional self-focusing and one dimensional self-modulation of waves in nonlinear media
-
Zakharov V.E., Shabat A.B., Exact theory of two-dimensional self-focusing and one dimensional self-modulation of waves in nonlinear media. Sov. Phys. JETP. 34:1972;62-69.
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
11
-
-
0000173206
-
On the bound states of the nonlinear Schrödinger equation with a linear potential
-
Rose H.A., Weinstein M.I., On the bound states of the nonlinear Schrödinger equation with a linear potential. Physica D. 30:1988;207-218.
-
(1988)
Physica D
, vol.30
, pp. 207-218
-
-
Rose, H.A.1
Weinstein, M.I.2
-
12
-
-
84990553584
-
Lyapunov stability of ground states of nonlinear dispersive evolution equations
-
Weinstein M.I., Lyapunov stability of ground states of nonlinear dispersive evolution equations. Commun. Pure Appl. Math. 39:1986;51-68.
-
(1986)
Commun. Pure Appl. Math.
, vol.39
, pp. 51-68
-
-
Weinstein, M.I.1
-
13
-
-
0000301325
-
Multichannel nonlinear scattering theory for nonintegrable equations
-
Soffer A., Weinstein M.I., Multichannel nonlinear scattering theory for nonintegrable equations. Commun. Math. Phys. 133:1990;119-146.
-
(1990)
Commun. Math. Phys.
, vol.133
, pp. 119-146
-
-
Soffer, A.1
Weinstein, M.I.2
-
14
-
-
0001641727
-
Multichannel nonlinear scattering for nonintegrable equations. II. The case of anistropic potentials and data
-
Soffer A., Weinstein M.I., Multichannel nonlinear scattering for nonintegrable equations. II. The case of anistropic potentials and data. J. Diff. Eqns. 98:1992;376-390.
-
(1992)
J. Diff. Eqns.
, vol.98
, pp. 376-390
-
-
Soffer, A.1
Weinstein, M.I.2
-
15
-
-
0001322178
-
Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations
-
Pillet C.-A., Wayne C.E., Invariant manifolds for a class of dispersive, Hamiltonian, partial differential equations. J. Diff. Eqns. 141:1997;310-326.
-
(1997)
J. Diff. Eqns.
, vol.141
, pp. 310-326
-
-
Pillet, C.-A.1
Wayne, C.E.2
-
16
-
-
0000073733
-
Scattering for the nonlinear Schrödinger equation: States close to a soliton
-
Buslaev V.S., Perel'man G., Scattering for the nonlinear Schrödinger equation: states close to a soliton. St. Petersburg Math. J. 4:1993;1111-1142.
-
(1993)
St. Petersburg Math. J.
, vol.4
, pp. 1111-1142
-
-
Buslaev, V.S.1
Perel'man, G.2
-
17
-
-
0034349544
-
Center manifold for nonintegrable nonlinear Schrödinger equations on the line
-
Weder R., Center manifold for nonintegrable nonlinear Schrödinger equations on the line. Commun. Math. Phys. 215:2000;343-356.
-
(2000)
Commun. Math. Phys.
, vol.215
, pp. 343-356
-
-
Weder, R.1
-
18
-
-
0010295721
-
Numerical simulations of nonlinear Schrödinger systems: A new conservative scheme
-
Fei Z., Pérez-García V.M., Vázquez L., Numerical simulations of nonlinear Schrödinger systems: a new conservative scheme. Appl. Math. Comput. 71:1995;165-177.
-
(1995)
Appl. Math. Comput.
, vol.71
, pp. 165-177
-
-
Fei, Z.1
Pérez-García, V.M.2
Vázquez, L.3
-
19
-
-
77956705971
-
Variational methods in nonlinear fiber optics and related fields
-
Malomed B.A., Variational methods in nonlinear fiber optics and related fields. Prog. Opt. 43:2002;71-193.
-
(2002)
Prog. Opt.
, vol.43
, pp. 71-193
-
-
Malomed, B.A.1
-
23
-
-
0009392108
-
Resonant kink-impurity interactions in the sine-Gordon model
-
Fei Z., Kivshar Y.S., Vázquez L., Resonant kink-impurity interactions in the sine-Gordon model. Phys. Rev. A. 45:1992;6019-6030.
-
(1992)
Phys. Rev. A
, vol.45
, pp. 6019-6030
-
-
Fei, Z.1
Kivshar, Y.S.2
Vázquez, L.3
-
24
-
-
0000006872
-
Fractal dependence of vector-soliton collisions in birefringent fibers
-
Yang J., Tan Y., Fractal dependence of vector-soliton collisions in birefringent fibers. Phys. Lett. A. 280:2001;129-138.
-
(2001)
Phys. Lett. A
, vol.280
, pp. 129-138
-
-
Yang, J.1
Tan, Y.2
-
25
-
-
0002007686
-
A stable manifold theorem for degenerate fixed points with applications to celestial mechanics
-
McGehee R., A stable manifold theorem for degenerate fixed points with applications to celestial mechanics. J. Diff. Eqns. 14:1973;70-88.
-
(1973)
J. Diff. Eqns.
, vol.14
, pp. 70-88
-
-
Mcgehee, R.1
-
26
-
-
0001834849
-
On the stability of the center for time periodic perturbations
-
Melnikov V.K., On the stability of the center for time periodic perturbations. Trans. Moscow Math. Soc. 12:1963;1-57.
-
(1963)
Trans. Moscow Math. Soc.
, vol.12
, pp. 1-57
-
-
Melnikov, V.K.1
-
27
-
-
0003478288
-
-
Springer-Verlag, New York
-
J. Guckenheimer, 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
-
30
-
-
0001073501
-
The existence of transverse homoclinic points in the Sitnikov problem
-
Dankowicz H., Holmes P., The existence of transverse homoclinic points in the Sitnikov problem. J. Diff. Eqns. 16:1995;468-483.
-
(1995)
J. Diff. Eqns.
, vol.16
, pp. 468-483
-
-
Dankowicz, H.1
Holmes, P.2
-
31
-
-
0022443196
-
Chaotic motions in a weakly nonlinear model for surface waves
-
Holmes P., Chaotic motions in a weakly nonlinear model for surface waves. J. Fluid Mech. 483:1986;365-388.
-
(1986)
J. Fluid Mech.
, vol.483
, pp. 365-388
-
-
Holmes, P.1
-
33
-
-
0033460613
-
Resonances and radiation damping in Hamiltonian nonlinear wave equations
-
Soffer A., Weinstein M.I., Resonances and radiation damping in Hamiltonian nonlinear wave equations. Invent. Math. 136:1999;9-74.
-
(1999)
Invent. Math.
, vol.136
, pp. 9-74
-
-
Soffer, A.1
Weinstein, M.I.2
-
35
-
-
0001764721
-
Horseshoes and Arnol'd diffusion for Hamiltonian systems on Lie groups
-
Holmes P.J., Marsden J.E., Horseshoes and Arnol'd diffusion for Hamiltonian systems on Lie groups. Indiana Univ. Math. J. 32:1983;273-309.
-
(1983)
Indiana Univ. Math. J.
, vol.32
, pp. 273-309
-
-
Holmes, P.J.1
Marsden, J.E.2
-
36
-
-
0023817889
-
Spatially complex equilibria of buckled rods
-
Mielke A., Holmes P., Spatially complex equilibria of buckled rods. Arch. Ration. Mech. Anal. 101:1988;319-348.
-
(1988)
Arch. Ration. Mech. Anal.
, vol.101
, pp. 319-348
-
-
Mielke, A.1
Holmes, P.2
-
38
-
-
23544466422
-
Interaction of sine-Gordon kinks with defects: The two-bounce resonance
-
submitted
-
R.H. Goodman, R. Haberman, Interaction of sine-Gordon kinks with defects: The two-bounce resonance, Physica D, submitted. http://arxiv.org/abs/nlin.PS/ 0310040.
-
Physica D
-
-
Goodman, R.H.1
Haberman, R.2
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