-
1
-
-
0000018057
-
Resonant interaction of wave packets in nonlinear media
-
V.E. Zakharov, S.V. Manakov, Resonant interaction of wave packets in nonlinear media, Sov. Phys. JETP Lett. 18 (1973) 243-245.
-
(1973)
Sov. Phys. JETP Lett.
, vol.18
, pp. 243-245
-
-
Zakharov, V.E.1
Manakov, S.V.2
-
2
-
-
0003816609
-
-
SIAM, Philadelphia, PA
-
M.J. Ablowitz, H. Segur, Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, PA, 1981.
-
(1981)
Solitons and the Inverse Scattering Transform
-
-
Ablowitz, M.J.1
Segur, H.2
-
3
-
-
0000085256
-
A tri-Hamiltonian formulation of the self-induced transparency equations
-
A.P. Fordy, D.D. Holm, A tri-Hamiltonian formulation of the self-induced transparency equations, Phys. Lett. A. 160 (1991) 143-148.
-
(1991)
Phys. Lett. A.
, vol.160
, pp. 143-148
-
-
Fordy, A.P.1
Holm, D.D.2
-
4
-
-
0038868531
-
Resonant triad interactions in symmetric systems
-
J. Guckenheimer, A. Mahalov, Resonant triad interactions in symmetric systems, Physica D 54 (1992) 267-310.
-
(1992)
Physica D
, vol.54
, pp. 267-310
-
-
Guckenheimer, J.1
Mahalov, A.2
-
5
-
-
0000633938
-
Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch traveling wave equations
-
D. David, D.D. Holm, Multiple Lie-Poisson structures, reductions, and geometric phases for the Maxwell-Bloch traveling wave equations, J. Nonlinear Sci. 2 (1992) 241-262.
-
(1992)
J. Nonlinear Sci.
, vol.2
, pp. 241-262
-
-
David, D.1
Holm, D.D.2
-
7
-
-
36749121906
-
Resonantly coupled nonlinear evolution equations
-
M.J. Ablowitz, R. Haberman, Resonantly coupled nonlinear evolution equations, J. Math. Phys. 16 (1975) 2301-2305.
-
(1975)
J. Math. Phys.
, vol.16
, pp. 2301-2305
-
-
Ablowitz, M.J.1
Haberman, R.2
-
8
-
-
0016926497
-
The three-wave interaction - A nondispersive phenomenon
-
D.J. Kaup, The three-wave interaction - a nondispersive phenomenon, Stud. Appl. Math. 55 (1976) 9-44.
-
(1976)
Stud. Appl. Math.
, vol.55
, pp. 9-44
-
-
Kaup, D.J.1
-
9
-
-
35949034292
-
Space-time evolution of nonlinear three-wave interactions. I. Interaction in a homogeneous medium
-
D.J. Kaup, A.H. Reiman, A. Bers, Space-time evolution of nonlinear three-wave interactions. I. Interaction in a homogeneous medium, Rev. Modern Phys. 51 (1979) 275-309.
-
(1979)
Rev. Modern Phys.
, vol.51
, pp. 275-309
-
-
Kaup, D.J.1
Reiman, A.H.2
Bers, A.3
-
10
-
-
0007649593
-
The solution of the general initial value problem for the full three dimensional three-wave resonant interaction
-
V.E. Zakharov, S.V. Manakov (Eds.), Kiev, 1979, North-Holland, Amsterdam
-
D.J. Kaup, The solution of the general initial value problem for the full three dimensional three-wave resonant interaction, in: V.E. Zakharov, S.V. Manakov (Eds.), Proceedings of the Joint US-USSR Symposium on Soliton Theory, Kiev, 1979, North-Holland, Amsterdam, 1981, pp. 374-395.
-
(1981)
Proceedings of the Joint US-USSR Symposium on Soliton Theory
, pp. 374-395
-
-
Kaup, D.J.1
-
13
-
-
0003607253
-
-
Cambridge University Press, Cambridge
-
M.J. Ablowitz, P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge, 1991.
-
(1991)
Solitons, Nonlinear Evolution Equations and Inverse Scattering
-
-
Ablowitz, M.J.1
Clarkson, P.A.2
-
14
-
-
0000413458
-
How much does a rigid body rotate? A Berry's phase from the 18th century
-
R. Montgomery, How much does a rigid body rotate? A Berry's phase from the 18th century, Am. J. Phys. 59 (1991) 394-398.
-
(1991)
Am. J. Phys.
, vol.59
, pp. 394-398
-
-
Montgomery, R.1
-
15
-
-
84975673323
-
Relativistic solitary-wave solutions of the beat-wave equations
-
C.J. McKinstrie, Relativistic solitary-wave solutions of the beat-wave equations, Phys. Fluids 31 (1988) 288-297.
-
(1988)
Phys. Fluids
, vol.31
, pp. 288-297
-
-
McKinstrie, C.J.1
-
16
-
-
4243980670
-
Solitary-wave solutions of the generalised three-wave and four-wave equations
-
C.J. McKinstrie, G.G Luther, Solitary-wave solutions of the generalised three-wave and four-wave equations, Phys. Lett. A 127 (1988) 14-18.
-
(1988)
Phys. Lett. A
, vol.127
, pp. 14-18
-
-
McKinstrie, C.J.1
Luther, G.G.2
-
17
-
-
21144477913
-
The nonlinear detuning of three-wave interactions
-
C.J. McKinstrie, X.D. Cao, The nonlinear detuning of three-wave interactions, J. Opt. Soc. Am. B 10 (1993) 898-912.
-
(1993)
J. Opt. Soc. Am. B
, vol.10
, pp. 898-912
-
-
McKinstrie, C.J.1
Cao, X.D.2
-
18
-
-
0010969089
-
Complex billiard Hamiltonian systems and nonlinear waves
-
A.S. Fokas, I.M. Gelfand (Eds.), Birkhäuser, Basel
-
M.S. Alber, G.G. Luther, J.E. Marsden, Complex billiard Hamiltonian systems and nonlinear waves, in: A.S. Fokas, I.M. Gelfand (Eds.), Algebraic Aspects of Integrable Systems: In Memory of Irene Dorfman, Progress in Nonlinear Differential equations, vol. 26, Birkhäuser, Basel, 1997, pp. 1-15.
-
(1997)
Algebraic Aspects of Integrable Systems: in Memory of Irene Dorfman, Progress in Nonlinear Differential Equations
, vol.26
, pp. 1-15
-
-
Alber, M.S.1
Luther, G.G.2
Marsden, J.E.3
-
20
-
-
33748853933
-
Note on the integration of Euler's equations of the dynamics of and n-dimensional rigid body
-
S.V. Manakov, Note on the integration of Euler's equations of the dynamics of and n-dimensional rigid body, Func. Anal. Appl. 10 (1976) 328-329.
-
(1976)
Func. Anal. Appl.
, vol.10
, pp. 328-329
-
-
Manakov, S.V.1
-
21
-
-
38249019449
-
On resonant classical Hamiltonians with n frequencies
-
M. Kummer, On resonant classical Hamiltonians with n frequencies. J. Diff. Eqs. 83 (1990) 220-243.
-
(1990)
J. Diff. Eqs.
, vol.83
, pp. 220-243
-
-
Kummer, M.1
-
22
-
-
5744254124
-
Integrable and chaotic polarization dynamics in nonlinear optical beams
-
D. David, D.D. Holm, M.V. Tratnik, Integrable and chaotic polarization dynamics in nonlinear optical beams, Phys. Lett. A 137 (1989) 355-364.
-
(1989)
Phys. Lett. A
, vol.137
, pp. 355-364
-
-
David, D.1
Holm, D.D.2
Tratnik, M.V.3
-
23
-
-
0011581571
-
Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics
-
E. Knobloch, A. Mahalov, J.E. Marsden, Normal forms for three-dimensional parametric instabilities in ideal hydrodynamics, Physica D 73 (1994) 49-81.
-
(1994)
Physica D
, vol.73
, pp. 49-81
-
-
Knobloch, E.1
Mahalov, A.2
Marsden, J.E.3
-
24
-
-
0030394634
-
Branches of stable three-tori using Hamiltonian methods in Hopf bifurcation on a rhombic lattice
-
V Kirk, J.E. Marsden, M. Silber, Branches of stable three-tori using Hamiltonian methods in Hopf bifurcation on a rhombic lattice, Dyn. Stab. Systems 11 (1996) 267-302.
-
(1996)
Dyn. Stab. Systems
, vol.11
, pp. 267-302
-
-
Kirk, V.1
Marsden, J.E.2
Silber, M.3
-
25
-
-
0000318075
-
Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems
-
G. Haller, W. Wiggins, Geometry and chaos near resonant equilibria of 3-DOF Hamiltonian systems, Physica D 90 (1996) 319-365.
-
(1996)
Physica D
, vol.90
, pp. 319-365
-
-
Haller, G.1
Wiggins, W.2
-
27
-
-
49049140896
-
Reduction of the semisimple 1:1 resonance
-
R. Cushman, D.L. Rod, Reduction of the semisimple 1:1 resonance, Physica D 6 (1982) 105-112.
-
(1982)
Physica D
, vol.6
, pp. 105-112
-
-
Cushman, R.1
Rod, D.L.2
-
29
-
-
0016568176
-
An interaction of three resonant modes in a nonlinear lattice
-
M. Kummer, An interaction of three resonant modes in a nonlinear lattice, J. Math. Anal. Appl. 52 (1975) 64.
-
(1975)
J. Math. Anal. Appl.
, vol.52
, pp. 64
-
-
Kummer, M.1
-
30
-
-
49549151837
-
Reduction of symplectic manifolds with symmetry
-
J.E. Marsden, A. Weinstein, Reduction of symplectic manifolds with symmetry, Rep. Math. Phys. 5 (1974) 121-130.
-
(1974)
Rep. Math. Phys.
, vol.5
, pp. 121-130
-
-
Marsden, J.E.1
Weinstein, A.2
-
31
-
-
0002043880
-
Reduction, symmetry, and phases in mechanics
-
J.E. Marsden, R. Montgomery, T.S. Ratiu, Reduction, symmetry, and phases in mechanics, Memoirs AMS 436 (1990).
-
(1990)
Memoirs AMS
, vol.436
-
-
Marsden, J.E.1
Montgomery, R.2
Ratiu, T.S.3
-
34
-
-
0031093783
-
Polarization of light and topological phases
-
R. Bhandari, Polarization of light and topological phases, Phys. Rep. 281 (1997) 2-64.
-
(1997)
Phys. Rep.
, vol.281
, pp. 2-64
-
-
Bhandari, R.1
-
35
-
-
34250229086
-
On the variation in the cohomology of the symplectic form of the reduced phase space
-
J.J. Duistermaat, G.J. Heckman, On the variation in the cohomology of the symplectic form of the reduced phase space, Invent. Math. 69 (1982) 259-268.
-
(1982)
Invent. Math.
, vol.69
, pp. 259-268
-
-
Duistermaat, J.J.1
Heckman, G.J.2
-
36
-
-
0010862791
-
Symplectic geometry
-
VINITI, Moscow
-
V.I. Arnold, A.B. Givantal, Symplectic geometry, Itogi Nauki. Fundamentalnye Napravleniya 4 (1985) VINITI, Moscow, 5-139; English transl.: Encyclopedia of Math. Sci. 4 (1990) 1-136.
-
(1985)
Itogi Nauki. Fundamentalnye Napravleniya
, vol.4
, pp. 5-139
-
-
Arnold, V.I.1
Givantal, A.B.2
-
37
-
-
0001799504
-
-
V.I. Arnold, A.B. Givantal, Symplectic geometry, Itogi Nauki. Fundamentalnye Napravleniya 4 (1985) VINITI, Moscow, 5-139; English transl.: Encyclopedia of Math. Sci. 4 (1990) 1-136.
-
(1990)
Encyclopedia of Math. Sci.
, vol.4
, pp. 1-136
-
-
-
38
-
-
54749116835
-
Geometric and algebraic mechanisms of the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras
-
VINITI, Moscow
-
V.V. Trofimov, A.T. Fomenko, Geometric and algebraic mechanisms of the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras, Itogi Nauki. Fundamentalnye Napravleniya 16 (1987) VINITI, Moscow; English transl.: Encyclopedia of Math. Sci. 16 (1994) 261-333.
-
(1987)
Itogi Nauki. Fundamentalnye Napravleniya
, vol.16
-
-
Trofimov, V.V.1
Fomenko, A.T.2
-
39
-
-
11544267743
-
-
V.V. Trofimov, A.T. Fomenko, Geometric and algebraic mechanisms of the integrability of Hamiltonian systems on homogeneous spaces and Lie algebras, Itogi Nauki. Fundamentalnye Napravleniya 16 (1987) VINITI, Moscow; English transl.: Encyclopedia of Math. Sci. 16 (1994) 261-333.
-
(1994)
Encyclopedia of Math. Sci.
, vol.16
, pp. 261-333
-
-
-
40
-
-
11544355474
-
-
Academia Nazionale dei Lincei and the Scuola Normale Superiore, Press Syndicate of the University of Cambridge, Cambridge
-
S.P. Novikov, Solitons and Geometry, Academia Nazionale dei Lincei and the Scuola Normale Superiore, Press Syndicate of the University of Cambridge, Cambridge, 1994.
-
(1994)
Solitons and Geometry
-
-
Novikov, S.P.1
-
42
-
-
11544353103
-
-
V.I. Arnold, S.P. Novikov, Itogi Nauki. Fundamentalnye Napravleniya 16 (1987), VINITI, Moscow; English transl.: Encyclopedia of Math. Sci. 16 (1994).
-
(1994)
Encyclopedia of Math. Sci.
, vol.16
-
-
|