-
1
-
-
33846361348
-
Interaction of solitons in a collisionless plasma and the recurrene of initial states
-
N. J. Zabuski and M. D. Kruskal, Interaction of solitons in a collisionless plasma and the recurrene of initial states, Phys. Rev. Lett. 15:240-243 (1965).
-
(1965)
Phys. Rev. Lett.
, vol.15
, pp. 240-243
-
-
Zabuski, N.J.1
Kruskal, M.D.2
-
2
-
-
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. 19:1095-1097 (1967).
-
(1967)
Phys. Rev. Lett.
, vol.19
, pp. 1095-1097
-
-
Gardner, C.S.1
Greene, J.M.2
Kruskal, M.D.3
Miura, R.M.4
-
3
-
-
84981754671
-
Integrals of nonlinear equations of evolution and solitary waves
-
P. D. Lax, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math. 21:467-490 (1968).
-
(1968)
Comm. Pure Appl. Math.
, vol.21
, pp. 467-490
-
-
Lax, P.D.1
-
4
-
-
0002557939
-
Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
-
V. E. Zakharov and A. B. Shabat, Exact theory of two-dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media, Sov. Phys. JETP 34:62-69 (1972).
-
(1972)
Sov. Phys. JETP
, vol.34
, pp. 62-69
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
5
-
-
0002413202
-
Dynamics of solitons under random perturbations
-
F. G. Bass, Y. S. Kivshar, V. V. Konotop, and Y. A. Sinitsyn, Dynamics of solitons under random perturbations, Phys. Rep. 157:63-181 (1988).
-
(1988)
Phys. Rep.
, vol.157
, pp. 63-181
-
-
Bass, F.G.1
Kivshar, Y.S.2
Konotop, V.V.3
Sinitsyn, Y.A.4
-
8
-
-
0001437633
-
Localization decay induced by strong nonlinearity in disordered systems
-
Yu. S. Kivshar, S. A. Gredeskul, A. Sanchez, and L. Vasquez, Localization decay induced by strong nonlinearity in disordered systems, Phys. Rev. Lett. 64:1693-1696 (1990).
-
(1990)
Phys. Rev. Lett.
, vol.64
, pp. 1693-1696
-
-
Kivshar, Yu.S.1
Gredeskul, S.A.2
Sanchez, A.3
Vasquez, L.4
-
9
-
-
0000443452
-
Nonlinear scattering and analyticity properties of solitons
-
J. C. Bronski, Nonlinear scattering and analyticity properties of solitons, J. Nonlinear Sci. 8:161-182 (1998).
-
(1998)
J. Nonlinear Sci.
, vol.8
, pp. 161-182
-
-
Bronski, J.C.1
-
10
-
-
0032302719
-
Asymptotic transmission of solitons through random media
-
J. Garnier, Asymptotic transmission of solitons through random media, SIAM J. Appl. Math. 58:1969-1995 (1998).
-
(1998)
SIAM J. Appl. Math.
, vol.58
, pp. 1969-1995
-
-
Garnier, J.1
-
11
-
-
0001634261
-
Transmission of solitons through random media
-
R. Knapp, Transmission of solitons through random media, Physica D 85:496-508 (1995).
-
(1995)
Physica D
, vol.85
, pp. 496-508
-
-
Knapp, R.1
-
12
-
-
0032163922
-
Nonlinear wave propagation in a disordered medium
-
J. C. Bronski, Nonlinear wave propagation in a disordered medium, J. Statist. Phys. 92, 995-1015 (1998).
-
(1998)
J. Statist. Phys.
, vol.92
, pp. 995-1015
-
-
Bronski, J.C.1
-
13
-
-
0000878526
-
Observation of the predicted behavior of nonlinear pulse propagation in disordered media
-
V. A. Hopkins, J. Keat, G. D. Meegan, T. Zhang, and J. D. Maynard, Observation of the predicted behavior of nonlinear pulse propagation in disordered media, Phys. Rev. Lett. 76:1102-1105 (1996).
-
(1996)
Phys. Rev. Lett.
, vol.76
, pp. 1102-1105
-
-
Hopkins, V.A.1
Keat, J.2
Meegan, G.D.3
Zhang, T.4
Maynard, J.D.5
-
14
-
-
4243690606
-
Evolution of randomly perturbed Korteweg-de Vries solitons
-
F. Kh. Abdullaev, S. A. Darmanyan, M. R. Djumaev, A. J. Majid, and M. P. Sørensen, Evolution of randomly perturbed Korteweg-de Vries solitons, Phys. Rev. E 52:3577-3583 (1995).
-
(1995)
Phys. Rev. E
, vol.52
, pp. 3577-3583
-
-
Abdullaev, F.Kh.1
Darmanyan, S.A.2
Djumaev, M.R.3
Majid, A.J.4
Sørensen, M.P.5
-
15
-
-
0001526429
-
Stochastic Korteweg-de Vries equation
-
M. Wadati, Stochastic Korteweg-de Vries equation, J. Phys. Soc. Japan 52:2642-2648 (1983).
-
(1983)
J. Phys. Soc. Japan
, vol.52
, pp. 2642-2648
-
-
Wadati, M.1
-
16
-
-
33845186384
-
Stochastic Korteweg de Vries equation with and without damping
-
M. Wadati and Y. Akutsu, Stochastic Korteweg de Vries equation with and without damping, J. Phys. Soc. Japan 53:3342-3350 (1984).
-
(1984)
J. Phys. Soc. Japan
, vol.53
, pp. 3342-3350
-
-
Wadati, M.1
Akutsu, Y.2
-
17
-
-
0007283373
-
Anomalous diffusion of solitons in random systems
-
T. Iizuka, Anomalous diffusion of solitons in random systems, Phys. Lett. A 181:39-42 (1993).
-
(1993)
Phys. Lett. A
, vol.181
, pp. 39-42
-
-
Iizuka, T.1
-
18
-
-
0000649103
-
Korteweg de Vries solitons under additive stochastic perturbations
-
M. Scalerandi, A. Romano, and C. A. Condat, Korteweg de Vries solitons under additive stochastic perturbations, Phys. Rev. E 58:4166-4173 (1998).
-
(1998)
Phys. Rev. E
, vol.58
, pp. 4166-4173
-
-
Scalerandi, M.1
Romano, A.2
Condat, C.A.3
-
19
-
-
84908734931
-
Soliton evolution in the presence of perturbations
-
V. I. Karpman, Soliton evolution in the presence of perturbations, Phys. Scripta 20:462-478 (1979).
-
(1979)
Phys. Scripta
, vol.20
, pp. 462-478
-
-
Karpman, V.I.1
-
20
-
-
0001513942
-
Soliton production and solutions to perturbed Korteweg-de Vries equations
-
J. Wright, Soliton production and solutions to perturbed Korteweg-de Vries equations, Phys. Rev. A 21:335-339 (1980).
-
(1980)
Phys. Rev. A
, vol.21
, pp. 335-339
-
-
Wright, J.1
-
21
-
-
24244444170
-
Absence of diffusion in certain random lattices
-
P. Anderson, Absence of diffusion in certain random lattices, Phys. Rev. 109:1492-1505 (1958).
-
(1958)
Phys. Rev.
, vol.109
, pp. 1492-1505
-
-
Anderson, P.1
-
23
-
-
0003916102
-
-
Consultants Bureau, New York
-
S. V. Manakov, S. Novikov, J. P. Pitaevskii, and V. E. Zakharov, Theory of Solitons (Consultants Bureau, New York, 1984).
-
(1984)
Theory of Solitons
-
-
Manakov, S.V.1
Novikov, S.2
Pitaevskii, J.P.3
Zakharov, V.E.4
-
25
-
-
34250461398
-
Korteweg de Vries equation, a completely integrable Hamiltonian system
-
V. E. Zakharov and L. D. Faddeev, Korteweg de Vries equation, a completely integrable Hamiltonian system, Funct. Anal. Appl. 5:280-287 (1971).
-
(1971)
Funct. Anal. Appl.
, vol.5
, pp. 280-287
-
-
Zakharov, V.E.1
Faddeev, L.D.2
-
26
-
-
0002377921
-
The stochastic, damped KdV equation
-
R. L. Herman, The stochastic, damped KdV equation, J. Phys. A: Math. Gen. 23:1063-1084 (1990).
-
(1990)
J. Phys. A: Math. Gen.
, vol.23
, pp. 1063-1084
-
-
Herman, R.L.1
-
29
-
-
0003498504
-
-
Academic Press, San Diego
-
I. S. Gradshteyn and I. M. Ryzhik, Table of Integrals, Series, and Products (Academic Press, San Diego, 1980).
-
(1980)
Table of Integrals, Series, and Products
-
-
Gradshteyn, I.S.1
Ryzhik, I.M.2
-
30
-
-
48549108442
-
Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation
-
T. R. Taha and M. J. Ablowitz, Analytical and numerical aspects of certain nonlinear evolution equations. III. Numerical, Korteweg-de Vries equation, J. Comput. Phys. 55:231-253 (1984).
-
(1984)
J. Comput. Phys.
, vol.55
, pp. 231-253
-
-
Taha, T.R.1
Ablowitz, M.J.2
-
31
-
-
0004276254
-
-
Prenctice Hall, Englewoods Cliffs, New Jersey
-
G. Dahlquist and A. Björk, Numerical Methods (Prenctice Hall, Englewoods Cliffs, New Jersey, 1974).
-
(1974)
Numerical Methods
-
-
Dahlquist, G.1
Björk, A.2
-
32
-
-
0017901962
-
A numerical and theoretical study of certain nonlinear wave phenomena
-
B. Fornberg and G. B. Whitham, A numerical and theoretical study of certain nonlinear wave phenomena, Philos. Trans. Roy. Soc. London Ser. A 289:373-403 (1978).
-
(1978)
Philos. Trans. Roy. Soc. London Ser. A
, vol.289
, pp. 373-403
-
-
Fornberg, B.1
Whitham, G.B.2
|