-
1
-
-
4644223683
-
Solitons around us: Integrable, Hamiltonian and dissipative systems
-
Edited by K. Porsezian and V.C. Kurakose, Springer, Berlin-Heidelberg
-
N. Akhmediev and A. Ankiewicz, Solitons around us: Integrable, Hamiltonian and dissipative systems, in Optical Solitons: Theoretical and Experimental Challenges, Edited by K. Porsezian and V.C. Kurakose, (Springer, Berlin-Heidelberg, 2003), pp. 105-126.
-
(2003)
Optical Solitons: Theoretical and Experimental Challenges
, pp. 105-126
-
-
Akhmediev, N.1
Ankiewicz, A.2
-
2
-
-
0000475274
-
Solitons of the complex Ginzburg-Landau equation
-
Edited by S. Trillo and W.E. Toruellas, Springer, Berlin-Heidelberg
-
N. Akhmediev and A. Ankiewicz, Solitons of the complex Ginzburg-Landau equation, in Spatial Solitons 1, Edited by S. Trillo and W.E. Toruellas, (Springer, Berlin-Heidelberg, 2001), pp. 311-342.
-
(2001)
Spatial Solitons 1
, pp. 311-342
-
-
Akhmediev, N.1
Ankiewicz, A.2
-
3
-
-
0003020573
-
General theory of solitons
-
edited by A.D. Boardman and A.P. Sukhorukov, Kluver Academic Publishers, Netherlands
-
N. Akhmediev, General theory of solitons, in Soliton-Driven Photonics edited by A.D. Boardman and A.P. Sukhorukov, (Kluver Academic Publishers, Netherlands, 2001), pp. 371-395.
-
(2001)
Soliton-Driven Photonics
, pp. 371-395
-
-
Akhmediev, N.1
-
4
-
-
33846361348
-
Interaction of 'solitons' in a collisionless plasma and the recurrence of initial states
-
N.J. Zabusky and M.D. Kruskal, Interaction of 'solitons' in a collisionless plasma and the recurrence of initial states, Phys. Rev. Lett. 15, 240-243 (1965).
-
(1965)
Phys. Rev. Lett
, vol.15
, pp. 240-243
-
-
Zabusky, N.J.1
Kruskal, M.D.2
-
5
-
-
57749205673
-
-
J.S. Russell, Report of the fourteenth meeting of the British Association for the Advancement of Science, York, 1844 (London 1845), pp. 311-390, Plates XLVII-LVII.
-
J.S. Russell, Report of the fourteenth meeting of the British Association for the Advancement of Science, York, 1844 (London 1845), pp. 311-390, Plates XLVII-LVII.
-
-
-
-
6
-
-
36049057587
-
Method for solving the Kortewegde Vries equation
-
C.S. Gardner, J.M. Greene, M.D. Kruskal, and K.M. Miura, Method for solving the Kortewegde Vries equation, Phys. Rev. Lett. 19, 1095-1097 (1967).
-
(1967)
Phys. Rev. Lett
, vol.19
, pp. 1095-1097
-
-
Gardner, C.S.1
Greene, J.M.2
Kruskal, M.D.3
Miura, K.M.4
-
7
-
-
57749201001
-
-
V.E. Zakharov and A.B. Shabat, Exact theory of two dimensional self focusing and one dimensional self modulation of nonlinear waves in nonlinear media, Sov. Phys. JETP, 34, 62-69 (1971)]. Original (in Russian): Zh. Eksp. Teor. Fiz. 61, 118.
-
V.E. Zakharov and A.B. Shabat, Exact theory of two dimensional self focusing and one dimensional self modulation of nonlinear waves in nonlinear media, Sov. Phys. JETP, 34, 62-69 (1971)]. Original (in Russian): Zh. Eksp. Teor. Fiz. 61, 118.
-
-
-
-
8
-
-
0002004721
-
Solitons, Nonlinear Evolution Equations and Inverse Scattering
-
Cambridge University Press, Cambridge
-
M.J. Ablowitz and P.A. Clarkson, Solitons, Nonlinear Evolution Equations and Inverse Scattering, London Mathematical Society Lecture Notes Series 149, (Cambridge University Press, Cambridge, (1991).
-
(1991)
London Mathematical Society Lecture Notes Series
, vol.149
-
-
Ablowitz, M.J.1
Clarkson, P.A.2
-
9
-
-
0003398364
-
-
2nd edn, Academic Press Inc, San Diego, CA
-
G.P. Agrawal, Nonlinear Fiber Optics, 2nd edn, (Academic Press Inc., San Diego, CA, 1995).
-
(1995)
Nonlinear Fiber Optics
-
-
Agrawal, G.P.1
-
10
-
-
0000618189
-
Observation of dissipative superluminous solitons in a Brillouin fiber ring laser
-
E. Picholle, C. Montes, C. Leycuras, O. Legrand, and J. Botineau, Observation of dissipative superluminous solitons in a Brillouin fiber ring laser, Phys. Rev. Lett. 66, 1454 (1991).
-
(1991)
Phys. Rev. Lett
, vol.66
, pp. 1454
-
-
Picholle, E.1
Montes, C.2
Leycuras, C.3
Legrand, O.4
Botineau, J.5
-
12
-
-
85066053832
-
-
eds, Lect. Notes Phys. V, Springer, Heidelberg 2005
-
Akhmediev, N., Ankiewicz, A. (eds.): Dissipative Solitons. Lect. Notes Phys. V. 661. Springer, Heidelberg (2005).
-
Dissipative Solitons
, vol.661
-
-
-
13
-
-
0003691928
-
-
Kluwer Academic Publishers, Dordrecht
-
B.S. Kerner and V.V. Osipov, Autosolitons: A New Approach to Problems of Self-Organization and Turbulence, Fundamental Theories of Physics, 61, (Kluwer Academic Publishers, Dordrecht, 1996).
-
(1996)
Autosolitons: A New Approach to Problems of Self-Organization and Turbulence, Fundamental Theories of Physics
, vol.61
-
-
Kerner, B.S.1
Osipov, V.V.2
-
15
-
-
0004286934
-
-
Springer-Verlag, Berlin
-
H. Haken, Synergetics, (Springer-Verlag, Berlin, 1983).
-
(1983)
Synergetics
-
-
Haken, H.1
-
16
-
-
0003001381
-
Formations of spatial patterns and holes in the generalized Ginzburg-Landau equation
-
N. Bekki and K. Nozaki, Formations of spatial patterns and holes in the generalized Ginzburg-Landau equation, Phys. Lett. A, 110, 133-135 (1985).
-
(1985)
Phys. Lett. A
, vol.110
, pp. 133-135
-
-
Bekki, N.1
Nozaki, K.2
-
17
-
-
44049115047
-
Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations
-
W. Van Saarloos and P.C. Hohenberg, Fronts, pulses, sources and sinks in generalized complex Ginzburg-Landau equations, Physica D 56, 303-367 (1992).
-
(1992)
Physica D
, vol.56
, pp. 303-367
-
-
Van Saarloos, W.1
Hohenberg, P.C.2
-
18
-
-
0000205375
-
Novel arbitrary-amplitude soliton solutions of the cubic-quintic complex Ginzburg-Landau equation
-
N. Akhmediev and V. Afanasjev, Novel arbitrary-amplitude soliton solutions of the cubic-quintic complex Ginzburg-Landau equation, Phys. Rev. Lett. 75, 2320-2323 (1995).
-
(1995)
Phys. Rev. Lett
, vol.75
, pp. 2320-2323
-
-
Akhmediev, N.1
Afanasjev, V.2
-
19
-
-
0001305226
-
Spatial soliton laser: Localized structures in a laser with a saturable absorber in a self-imaging resonator
-
V.B. Taranenko, K. Staliunas, and C.O. Weiss, Spatial soliton laser: Localized structures in a laser with a saturable absorber in a self-imaging resonator, Phys. Rev. A 56, 1582-1591 (1997).
-
(1997)
Phys. Rev. A
, vol.56
, pp. 1582-1591
-
-
Taranenko, V.B.1
Staliunas, K.2
Weiss, C.O.3
-
20
-
-
0030568352
-
Optical bullet holes: Robust controllable localized states of a nonlinear cavity
-
W.J. Firth and A.J. Scroggie, Optical bullet holes: Robust controllable localized states of a nonlinear cavity, Phys. Rev. Lett. 76, 1623-1626 (1996).
-
(1996)
Phys. Rev. Lett
, vol.76
, pp. 1623-1626
-
-
Firth, W.J.1
Scroggie, A.J.2
-
21
-
-
57749196215
-
-
N.A. Kaliteevstii, N.N. Rozanov, and S. Fedorov, V. Formation of laser bullets, Opt. Spectrosc. 85, 533-534 (1998).
-
N.A. Kaliteevstii, N.N. Rozanov, and S. Fedorov, V. Formation of laser bullets, Opt. Spectrosc. 85, 533-534 (1998).
-
-
-
-
22
-
-
33947655475
-
Stability of dissipative optical solitons in the three-dimensional cubic-quintic Ginzburg-Landau equation
-
D. Mihalache, D. Mazilu, F. Lederer, H. Leblond, and B.A. Malomed, Stability of dissipative optical solitons in the three-dimensional cubic-quintic Ginzburg-Landau equation, Phys. Rev. A 75, 033811 (2007).
-
(2007)
Phys. Rev. A
, vol.75
, pp. 033811
-
-
Mihalache, D.1
Mazilu, D.2
Lederer, F.3
Leblond, H.4
Malomed, B.A.5
-
23
-
-
33750248139
-
Optical bullets and double bullet complexes in dissipative systems
-
J.M. Soto-Crespo, N. Akhmediev, and Ph. Grelu, Optical bullets and double bullet complexes in dissipative systems, Phys. Rev. E 74, 046612 (2006).
-
(2006)
Phys. Rev. E
, vol.74
, pp. 046612
-
-
Soto-Crespo, J.M.1
Akhmediev, N.2
Grelu, P.3
-
24
-
-
0001293748
-
Oscillating dark cavity solitons
-
D. Michaelis, U. Peschel, and F. Lederer, Oscillating dark cavity solitons, Opt. Lett. 23, 1814-1816 (1998).
-
(1998)
Opt. Lett
, vol.23
, pp. 1814-1816
-
-
Michaelis, D.1
Peschel, U.2
Lederer, F.3
-
26
-
-
0036013603
-
The world of the complex Ginzburg-Landau equation
-
I.S. Aranson and L. Kramer, The world of the complex Ginzburg-Landau equation, Rev. Mod. Phys. 74, 100 (2002).
-
(2002)
Rev. Mod. Phys
, vol.74
, pp. 100
-
-
Aranson, I.S.1
Kramer, L.2
-
27
-
-
0030195845
-
Stability of the pulselike solutions of the quintic complex Ginzburg-Landau equation
-
J.M. Soto-Crespo, N. Akhmediev, and V.V. Afanasjev, Stability of the pulselike solutions of the quintic complex Ginzburg-Landau equation, JOSA B 13, No 7, 1439-1449, (1996).
-
(1996)
JOSA B
, vol.13
, Issue.7
, pp. 1439-1449
-
-
Soto-Crespo, J.M.1
Akhmediev, N.2
Afanasjev, V.V.3
-
28
-
-
35349013666
-
Dissipative solitons and antisolitons
-
September
-
A. Ankiewicz, N. Devine, N. Akhmediev, and J.M. Soto-Crespo, Dissipative solitons and antisolitons, Phys. Lett. A 368, September (2007).
-
(2007)
Phys. Lett. A
, vol.368
-
-
Ankiewicz, A.1
Devine, N.2
Akhmediev, N.3
Soto-Crespo, J.M.4
-
29
-
-
33947420386
-
Vibrating and shaking soliton pairs in dissipative systems
-
N. Akhmediev, J.M. Soto-Crespo, and Ph. Grelu, Vibrating and shaking soliton pairs in dissipative systems, Phys. Lett. A 364, 413-416 (2007).
-
(2007)
Phys. Lett. A
, vol.364
, pp. 413-416
-
-
Akhmediev, N.1
Soto-Crespo, J.M.2
Grelu, P.3
-
31
-
-
0035334501
-
Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: CGLE approach
-
N. Akhmediev, J.M. Soto-Crespo, and G. Town, Pulsating solitons, chaotic solitons, period doubling, and pulse coexistence in mode-locked lasers: CGLE approach, Phys. Rev. E 63, 056602 (2001).
-
(2001)
Phys. Rev. E
, vol.63
, pp. 056602
-
-
Akhmediev, N.1
Soto-Crespo, J.M.2
Town, G.3
-
32
-
-
34547510130
-
Creeping solitons in dissipative systems and their bifurctaions
-
W. Chang, A. Ankiewicz, N. Akhmediev, and J.M. Soto-Crespo, Creeping solitons in dissipative systems and their bifurctaions, Phys. Rev. E 76, 016607 (2007).
-
(2007)
Phys. Rev. E
, vol.76
, pp. 016607
-
-
Chang, W.1
Ankiewicz, A.2
Akhmediev, N.3
Soto-Crespo, J.M.4
-
33
-
-
0013448393
-
Evolution of solitary waves which are approximately solitons of a nonlinear Schrödinger equation
-
A.I. Maimistov, Evolution of solitary waves which are approximately solitons of a nonlinear Schrödinger equation, J. Exp. Theor. Phys. 77, 727 (1993)
-
(1993)
J. Exp. Theor. Phys
, vol.77
, pp. 727
-
-
Maimistov, A.I.1
-
35
-
-
0034239335
-
Propagation of nonlinear pulses in chirped fiber gratings
-
E.N. Tsoy and C.M. de Sterke, Propagation of nonlinear pulses in chirped fiber gratings, Phys. Rev. E 62, 2882 (2000).
-
(2000)
Phys. Rev. E
, vol.62
, pp. 2882
-
-
Tsoy, E.N.1
de Sterke, C.M.2
-
36
-
-
1842831265
-
Optical pulse propagation in fibers with random dispersion
-
F.Kh. Abdullaev, D.V. Navotny, and B.B. Baizakov, Optical pulse propagation in fibers with random dispersion, Physica D 192, 83 (2004).
-
(2004)
Physica D
, vol.192
, pp. 83
-
-
Abdullaev, F.K.1
Navotny, D.V.2
Baizakov, B.B.3
-
37
-
-
21144442197
-
Dynamics of NLS solitons described by the cubic-quintic Ginzburg-Landau equation
-
M.N. Zhuravlev and N.V. Ostrovskaya, Dynamics of NLS solitons described by the cubic-quintic Ginzburg-Landau equation, J. Exper. Theor. Phys. 99, 427 (2004)
-
(2004)
J. Exper. Theor. Phys
, vol.99
, pp. 427
-
-
Zhuravlev, M.N.1
Ostrovskaya, N.V.2
-
39
-
-
23144463877
-
Bifurcations from stationary to pulsating solitons in the cubic-quintic complex Ginzburg-Landau equation
-
E. Tsoy and N. Akhmediev, Bifurcations from stationary to pulsating solitons in the cubic-quintic complex Ginzburg-Landau equation, Phys. Lett. A 343, 417-422 (2005).
-
(2005)
Phys. Lett. A
, vol.343
, pp. 417-422
-
-
Tsoy, E.1
Akhmediev, N.2
-
40
-
-
33645512302
-
Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation
-
E. Tsoy, A. Ankiewicz, and N. Akhmediev, Dynamical models for dissipative localized waves of the complex Ginzburg-Landau equation, Phys. Rev. E 73, 036621 (2006).
-
(2006)
Phys. Rev. E
, vol.73
, pp. 036621
-
-
Tsoy, E.1
Ankiewicz, A.2
Akhmediev, N.3
-
41
-
-
0031997949
-
Stable soliton pairs in optical transmission lines and fiber lasers
-
N. Akhmediev, A. Ankiewicz and J.M. Soto-Crespo, Stable soliton pairs in optical transmission lines and fiber lasers, J. Opt. Soc. Am. B 15 515 (1998).
-
(1998)
J. Opt. Soc. Am. B
, vol.15
, pp. 515
-
-
Akhmediev, N.1
Ankiewicz, A.2
Soto-Crespo, J.M.3
-
42
-
-
41349092699
-
Bifurcations and multiple period soliton pulsations in a passively mode-locked fiber laser
-
J.M. Soto-Crespo, M. Grapinet, Ph. Grelu, and N. Akhmediev, Bifurcations and multiple period soliton pulsations in a passively mode-locked fiber laser, Phys. Rev. E 70, 066612 (2004).
-
(2004)
Phys. Rev. E
, vol.70
, pp. 066612
-
-
Soto-Crespo, J.M.1
Grapinet, M.2
Grelu, P.3
Akhmediev, N.4
-
44
-
-
0001000124
-
Initial value-problems of one-dimensional self-modulation of nonlinear waves in dispersive media
-
J. Satsuma and N. Yajima, Initial value-problems of one-dimensional self-modulation of nonlinear waves in dispersive media, Progr. Theor. Phys. Suppl. 55, 284 (1974).
-
(1974)
Progr. Theor. Phys. Suppl
, vol.55
, pp. 284
-
-
Satsuma, J.1
Yajima, N.2
-
45
-
-
33845900684
-
Creeping solitons of the complex Ginzburg-Landau equation with a low-dimensional dynamical system model
-
W. Chang, A. Ankiewicz, N. Akhmediev, and J.M. Soto-Crespo, Creeping solitons of the complex Ginzburg-Landau equation with a low-dimensional dynamical system model, Phys. Lett. A 362, 31-36 (2007).
-
(2007)
Phys. Lett. A
, vol.362
, pp. 31-36
-
-
Chang, W.1
Ankiewicz, A.2
Akhmediev, N.3
Soto-Crespo, J.M.4
-
46
-
-
17344393880
-
Pulsating, creeping, and erupting solitons in dissipative systems
-
J.M. Soto-Crespo, N. Akhmediev and A. Ankiewicz, Pulsating, creeping, and erupting solitons in dissipative systems, Phys. Rev. Lett. 85, 2937-2940, (2000).
-
(2000)
Phys. Rev. Lett
, vol.85
, pp. 2937-2940
-
-
Soto-Crespo, J.M.1
Akhmediev, N.2
Ankiewicz, A.3
-
47
-
-
1242285042
-
Effect of nonlinear gradient terms on pulsating, erupting and creeping solitons
-
H.P. Tian, Z.H. Li, J.P. Tian, G.S. Zhou and J. Zi, Effect of nonlinear gradient terms on pulsating, erupting and creeping solitons, Appl. Phys. B 78, 199-204 (2004).
-
(2004)
Appl. Phys. B
, vol.78
, pp. 199-204
-
-
Tian, H.P.1
Li, Z.H.2
Tian, J.P.3
Zhou, G.S.4
Zi, J.5
-
48
-
-
0142059923
-
Exploding solitons and Shil'nikov's theorem
-
N. Akhmediev and J.M. Soto-Crespo, Exploding solitons and Shil'nikov's theorem, Phys. Lett. A 317, 287-292 (2003).
-
(2003)
Phys. Lett. A
, vol.317
, pp. 287-292
-
-
Akhmediev, N.1
Soto-Crespo, J.M.2
-
49
-
-
2942522645
-
Chirped-pulse oscillators: A route to high-power femtosecond pulses without external amplification
-
A. Fernandez, T. Fuji, A. Poppe, A. Frbach, F. Krausz, and A. Apolonski, Chirped-pulse oscillators: A route to high-power femtosecond pulses without external amplification, Opt. Lett. 29, 1366-1368 (2004).
-
(2004)
Opt. Lett
, vol.29
, pp. 1366-1368
-
-
Fernandez, A.1
Fuji, T.2
Poppe, A.3
Frbach, A.4
Krausz, F.5
Apolonski, A.6
|