-
1
-
-
68949175669
-
Rogue waves and rational solutions of the nonlinear Schrödinger equation
-
N. Akhmediev, A. Ankiewicz, J. M. Soto-Crespo, Rogue waves and rational solutions of the nonlinear Schrödinger equation, Phys. Rev. E, 80, 026601 (2009).
-
(2009)
Phys. Rev. E
, vol.80
, pp. 026601
-
-
Akhmediev, N.1
Ankiewicz, A.2
Soto-Crespo, J.M.3
-
2
-
-
83655202736
-
Higher-Order Modulation Instability in Nonlinear Fiber Optics
-
M. Erkintalo, K. Hammani, B. Kibler, C. Finot, N. Akhmediev, J. M. Dudley, G. Genty, Higher-Order Modulation Instability in Nonlinear Fiber Optics, Phys. Rev. Lett., 107, 253901 (2011).
-
(2011)
Phys. Rev. Lett.
, vol.107
, pp. 253901
-
-
Erkintalo, M.1
Hammani, K.2
Kibler, B.3
Finot, C.4
Akhmediev, N.5
Dudley, J.M.6
Genty, G.7
-
3
-
-
79960943266
-
Rogue waves, rational solitons and wave turbulence theory
-
B. Kibler, K. Hammani, C. Michel, C. Finot, A. Picozzi, Rogue waves, rational solitons and wave turbulence theory, Phys. Lett. A, 375, 3149-3155 (2011).
-
(2011)
Phys. Lett. A
, vol.375
, pp. 3149-3155
-
-
Kibler, B.1
Hammani, K.2
Michel, C.3
Finot, C.4
Picozzi, A.5
-
4
-
-
0001951716
-
Water waves, nonlinear Schrödinger equations and their solution
-
D. H. Peregrine, Water waves, nonlinear Schrödinger equations and their solution, J. Austral. Math. Soc. Ser. B, 25, 16-43 (1983).
-
(1983)
J. Austral. Math. Soc. Ser. B
, vol.25
, pp. 16-43
-
-
Peregrine, D.H.1
-
5
-
-
83655170353
-
Solitons in a parametrically unstable plasma
-
E. A. Kuznetsov, Solitons in a parametrically unstable plasma, Sov. Phys. Dokl., 22, 507-508 (1977).
-
(1977)
Sov. Phys. Dokl.
, vol.22
, pp. 507-508
-
-
Kuznetsov, E.A.1
-
6
-
-
0038330837
-
Inverse scattering method for the nonlinear evolution equations under nonvanishing conditions
-
T. Kawata, H. Inoue, Inverse scattering method for the nonlinear evolution equations under nonvanishing conditions, J. Phys. Soc. Japan, 44, 1722-1729 (1978).
-
(1978)
J. Phys. Soc. Japan
, vol.44
, pp. 1722-1729
-
-
Kawata, T.1
Inoue, H.2
-
7
-
-
0003006528
-
The perturbed plane-wave solutions of the cubic Schrödinger equation
-
Ya.-C. Ma, The perturbed plane-wave solutions of the cubic Schrödinger equation, Stud. Appl. Math., 60, 43-58 (1979).
-
(1979)
Stud. Appl. Math.
, vol.60
, pp. 43-58
-
-
Ma, Y.-C.1
-
8
-
-
0000176805
-
Modulation instability and periodic solutions of the nonlinear Schrödinger equation
-
N. Akhmediev, V. I. Korneev, Modulation instability and periodic solutions of the nonlinear Schrödinger equation, Theor. Math. Phys., 69, 1089-1093 (1986).
-
(1986)
Theor. Math. Phys.
, vol.69
, pp. 1089-1093
-
-
Akhmediev, N.1
Korneev, V.I.2
-
9
-
-
21144475136
-
Analytic method for solving the nonlinear Schrödinger equation describing pulse propagation in dispersive optic fibres
-
D. Mihalache, N. C. Panoiu, Analytic method for solving the nonlinear Schrödinger equation describing pulse propagation in dispersive optic fibres, J. Phys. A: Math. Gen., 26, 2679-2697 (1993).
-
(1993)
J. Phys. A: Math. Gen.
, vol.26
, pp. 2679-2697
-
-
Mihalache, D.1
Panoiu, N.C.2
-
10
-
-
67349165528
-
Extreme waves that appear from nowhere: On the nature of rogue waves
-
N. Akhmediev, J. M. Soto-Crespo, A. Ankiewicz, Extreme waves that appear from nowhere: On the nature of rogue waves, Phys. Lett. A, 373, 2137-2145 (2009).
-
(2009)
Phys. Lett. A
, vol.373
, pp. 2137-2145
-
-
Akhmediev, N.1
Soto-Crespo, J.M.2
Ankiewicz, A.3
-
11
-
-
84860627335
-
Peregrine rogue waves induced by the interaction between a continuous wave and a soliton
-
Guangye Yang, Lu Li, Suotang Jia, Peregrine rogue waves induced by the interaction between a continuous wave and a soliton, Phys. Rev. E, 85, 046608 (2012).
-
(2012)
Phys. Rev. E
, vol.85
, pp. 046608
-
-
Yang, G.1
Li, L.2
Jia, S.3
-
12
-
-
84859540586
-
Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case
-
U. Bandelow, N. Akhmediev, Persistence of rogue waves in extended nonlinear Schrödinger equations: Integrable Sasa-Satsuma case, Phys. Lett. A, 376, 1558-1561 (2012).
-
(2012)
Phys. Lett. A
, vol.376
, pp. 1558-1561
-
-
Bandelow, U.1
Akhmediev, N.2
-
13
-
-
84865606349
-
Sasa-Satsuma equation: Soliton on a background and its limiting cases
-
U. Bandelow, N. Akhmediev, Sasa-Satsuma equation: Soliton on a background and its limiting cases, Phys. Rev. E, 86, 026606 (2012).
-
(2012)
Phys. Rev. E
, vol.86
, pp. 026606
-
-
Bandelow, U.1
Akhmediev, N.2
-
14
-
-
0001710191
-
New-type soliton solution for a higher-order nonlinear Schrödinger equation
-
N. Sasa, J. Satsuma, New-type soliton solution for a higher-order nonlinear Schrödinger equation, J. Phys. Soc. Jpn., 60, 409-417 (1991).
-
(1991)
J. Phys. Soc. Jpn.
, vol.60
, pp. 409-417
-
-
Sasa, N.1
Satsuma, J.2
-
15
-
-
0001500961
-
Inverse-scattering approach to femtosecond solitons in monomode optical fibers
-
D. Mihalache, L. Torner, F. Moldoveanu, N.-C. Panoiu, N. Truta, Inverse-scattering approach to femtosecond solitons in monomode optical fibers, Phys. Rev. E, 48, 4699-4709 (1993).
-
(1993)
Phys. Rev. E
, vol.48
, pp. 4699-4709
-
-
Mihalache, D.1
Torner, L.2
Moldoveanu, F.3
Panoiu, N.-C.4
Truta, N.5
-
16
-
-
84866902395
-
Rogue waves in the Davey-Stewartson I equation
-
Yasuhiro Ohta, Jianke Yang, Rogue waves in the Davey-Stewartson I equation, Phys. Rev. E, 86, 036604 (2012).
-
(2012)
Phys. Rev. E
, vol.86
, pp. 036604
-
-
Ohta, Y.1
Yang, J.2
-
17
-
-
73349088704
-
Nonautonomous "rogons" in the inhomogeneous nonlinear Schrödinger equation with variable coefficients
-
Z. Yan, Nonautonomous "rogons" in the inhomogeneous nonlinear Schrödinger equation with variable coefficients, Phys. Lett. A, 374, 672-679 (2010).
-
(2010)
Phys. Lett. A
, vol.374
, pp. 672-679
-
-
Yan, Z.1
-
18
-
-
84871766014
-
N-order bright and dark rogue waves in a resonant erbium-doped fiber system
-
Jingsong He, Shuwei Xu, K. Porseizan, N-order bright and dark rogue waves in a resonant erbium-doped fiber system, Phys. Rev. E, 86, 066603 (2012).
-
(2012)
Phys. Rev. E
, vol.86
, pp. 066603
-
-
He, J.1
Xu, S.2
Porseizan, K.3
-
19
-
-
84873855891
-
Rogue-wave solutions of a three-component coupled nonlinear Schrödinger equation
-
Li-Chen Zhao, Jie Liu, Rogue-wave solutions of a three-component coupled nonlinear Schrödinger equation, Phys. Rev. E, 87, 013201 (2013).
-
(2013)
Phys. Rev. E
, vol.87
, pp. 013201
-
-
Zhao, L.-C.1
Liu, J.2
-
20
-
-
84873051643
-
Rogue waves of the Hirota and the Maxwell-Bloch equations
-
Chuanzhong Li, Jingsong He, K. Porseizan, Rogue waves of the Hirota and the Maxwell-Bloch equations, Phys. Rev. E, 87, 012913 (2013).
-
(2013)
Phys. Rev. E
, vol.87
, pp. 012913
-
-
Li, C.1
He, J.2
Porseizan, K.3
-
21
-
-
84872669866
-
Models of few optical cycle solitons beyond the slowly varying envelope approximation
-
H. Leblond, D. Mihalache, Models of few optical cycle solitons beyond the slowly varying envelope approximation, Phys. Reports, 523, 61-126 (2013).
-
(2013)
Phys. Reports
, vol.523
, pp. 61-126
-
-
Leblond, H.1
Mihalache, D.2
-
22
-
-
77957594053
-
The Peregrine soliton in nonlinear fibre optics
-
B. Kibler, J. Fatome, C. Finot, G. Millot, F. Dias, G. Genty, N. Akhmediev, J. M. Dudley, The Peregrine soliton in nonlinear fibre optics, Nat. Phys., 6, 790-795 (2010).
-
(2010)
Nat. Phys.
, vol.6
, pp. 790-795
-
-
Kibler, B.1
Fatome, J.2
Finot, C.3
Millot, G.4
Dias, F.5
Genty, G.6
Akhmediev, N.7
Dudley, J.M.8
-
23
-
-
79251527538
-
Peregrine soliton generation and breakup in standard telecommunications fiber
-
K. Hammani, B. Kibler, C. Finot, Ph. Morin, J. Fatome, J. M. Dudley, G. Millot, Peregrine soliton generation and breakup in standard telecommunications fiber, Opt. Lett., 36, 112-114 (2011).
-
(2011)
Opt. Lett.
, vol.36
, pp. 112-114
-
-
Hammani, K.1
Kibler, B.2
Finot, C.3
Morin, P.4
Fatome, J.5
Dudley, J.M.6
Millot, G.7
-
24
-
-
84867202947
-
Observation of Kuznetsov-Ma soliton dynamics in optical fibre
-
B. Kibler, J. Fatome, C. Finot, G. Millot, G. Genty, B. Wetzel, N. Akhmediev, F. Dias, J. M. Dudley, Observation of Kuznetsov-Ma soliton dynamics in optical fibre, Sci. Rep., 2, 463-467 (2012).
-
(2012)
Sci. Rep.
, vol.2
, pp. 463-467
-
-
Kibler, B.1
Fatome, J.2
Finot, C.3
Millot, G.4
Genty, G.5
Wetzel, B.6
Akhmediev, N.7
Dias, F.8
Dudley, J.M.9
-
25
-
-
79955484927
-
Akhmediev breather evolution in optical fiber for realistic initial conditions
-
M. Erkintalo, G. Genty, B. Wetzel, J. M. Dudley, Akhmediev breather evolution in optical fiber for realistic initial conditions, Phys. Lett. A, 375, 2029-2034 (2011).
-
(2011)
Phys. Lett. A
, vol.375
, pp. 2029-2034
-
-
Erkintalo, M.1
Genty, G.2
Wetzel, B.3
Dudley, J.M.4
-
26
-
-
72449185633
-
Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation
-
J. M. Dudley, G. Genty, F. Dias, B. Kibler, N. Akhmediev, Modulation instability, Akhmediev Breathers and continuous wave supercontinuum generation, Opt. Express, 17, 21497-21508 (2009).
-
(2009)
Opt. Express
, vol.17
, pp. 21497-21508
-
-
Dudley, J.M.1
Genty, G.2
Dias, F.3
Kibler, B.4
Akhmediev, N.5
-
27
-
-
0035898602
-
Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave
-
G. Van Simaeys, P. Emplit, M. Haelterman, Experimental demonstration of the Fermi-Pasta-Ulam recurrence in a modulationally unstable optical wave, Phys. Rev. Lett., 87, 033902 (2001).
-
(2001)
Phys. Rev. Lett.
, vol.87
, pp. 033902
-
-
van Simaeys, G.1
Emplit, P.2
Haelterman, M.3
-
28
-
-
0003530086
-
-
Los Alamos Report LA-1940 reprinted in E. Segre, Collected Papers of Enrico Fermi, (University of Chicago Press, 1965)
-
E. Fermi, J. Pasta, S. Ulam, Studies of the Nonlinear Problems. I, Los Alamos Report LA-1940 (1955), reprinted in E. Segre, Collected Papers of Enrico Fermi, pp. 978-988 (University of Chicago Press, 1965).
-
(1955)
Studies of the Nonlinear Problems. I
, pp. 978-988
-
-
Fermi, E.1
Pasta, J.2
Ulam, S.3
-
29
-
-
84858437022
-
Possibility of an Akhmediev breather decaying into solitons
-
Ch. Mahnke, F. Mitschke, Possibility of an Akhmediev breather decaying into solitons, Phys. Rev. A, 85, 033808 (2012).
-
(2012)
Phys. Rev. A
, vol.85
, pp. 033808
-
-
Mahnke, C.1
Mitschke, F.2
-
30
-
-
0003398364
-
-
Third Edition, Academic Press, New York
-
G. P. Agrawal, Nonlinear Fiber Optics, Third Edition, Academic Press, New York, 2001.
-
(2001)
Nonlinear Fiber Optics
-
-
Agrawal, G.P.1
|