-
2
-
-
85163143647
-
The propagation of nonlinear wave envelopes
-
D. J. Benney and A. C. Newell, "The propagation of nonlinear wave envelopes," J. Math. Phys. 46, 133-139 (1967).
-
(1967)
J. Math. Phys.
, vol.46
, pp. 133-139
-
-
Benney, D.J.1
Newell, A.C.2
-
3
-
-
0001524186
-
On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves
-
D. J. Korteweg and G. de Vries, "On the change of form of long waves advancing in a rectangular canal, and on a new type of long stationary waves," Philos. Mag. Ser. 5, 39, 422-443 (1895).
-
(1895)
Philos. Mag. Ser.
, vol.5
, Issue.39
, pp. 422-443
-
-
Korteweg, D.J.1
De Vries, G.2
-
4
-
-
85172027991
-
Long nonlinear waves in fluid flows
-
D. J. Benney, "Long nonlinear waves in fluid flows," J. Math. Phys. 45, 52-63 (1966).
-
(1966)
J. Math. Phys.
, vol.45
, pp. 52-63
-
-
Benney, D.J.1
-
7
-
-
0002056831
-
-
Springer-Verlag, New York
-
R. K. Bullough and P. J. Caudrey (editors), Solitons, Topics in Current Physics, Vol. 17 (Springer-Verlag, New York, 1980).
-
(1980)
Solitons, Topics in Current Physics
, vol.17
-
-
Bullough, R.K.1
Caudrey, P.J.2
-
8
-
-
0002340522
-
A second-order solution for the solitary wave in a rotational flow
-
K. W. Chow, "A second-order solution for the solitary wave in a rotational flow," Phys. Fluids A 1, 1235 (1989).
-
(1989)
Phys. Fluids A
, vol.1
, pp. 1235
-
-
Chow, K.W.1
-
9
-
-
84975745401
-
The extended korteweg-de vries equation and the resonant flow of a fluid over topography
-
T. R. Marchant and N. F. Smyth, "The extended Korteweg-de Vries equation and the resonant flow of a fluid over topography," J. Fluid Mech. 221, 263 (1990).
-
(1990)
J. Fluid Mech.
, vol.221
, pp. 263
-
-
Marchant, T.R.1
Smyth, N.F.2
-
10
-
-
0016971835
-
A perturbation expansion for the zakharov-shabat inverse scattering transform
-
D. J. Kaup, "A perturbation expansion for the Zakharov-Shabat inverse scattering transform," SIAM (Soc. Ind. Appl. Math.) J. Appl. Math. 31, 121 (1976).
-
(1976)
SIAM (Soc. Ind. Appl. Math.) J. Appl. Math.
, vol.31
, pp. 121
-
-
Kaup, D.J.1
-
11
-
-
0016962049
-
Closure of the squared zakharov-shabat eigenstates
-
D. J. Kaup, "Closure of the squared Zakharov-Shabat eigenstates," J. Math. Anal. Appl. 54, 849-864 (1976).
-
(1976)
J. Math. Anal. Appl.
, vol.54
, pp. 849-864
-
-
Kaup, D.J.1
-
12
-
-
0000290774
-
Solitons as particles, oscillators, and in slowly changing media: A singular perturbation theory
-
D. J. Kaup and A. C. Newell, "Solitons as particles, oscillators, and in slowly changing media: a singular perturbation theory," Proc. R. Soc. London, Ser. A 361, 413-446 (1978).
-
(1978)
Proc. R. Soc. London, Ser. A
, vol.361
, pp. 413-446
-
-
Kaup, D.J.1
Newell, A.C.2
-
13
-
-
0000408995
-
The inverse scattering transform
-
edited by R. K. Bullough and P. J. Caudrey Springer-Verlag, New York
-
A. C. Newell, "The inverse scattering transform," in Solitons, Topics in Current Physics, Vol. 17, edited by R. K. Bullough and P. J. Caudrey (Springer-Verlag, New York, 1980), pp. 177-242.
-
(1980)
Solitons, Topics in Current Physics
, vol.17
, pp. 177-242
-
-
Newell, A.C.1
-
14
-
-
0000861462
-
Perturbation theory for solitons
-
V. I. Karpman and E. M. Maslov, "Perturbation theory for solitons," Sov. Phys. JETP 46, 281-291 (1978).
-
(1978)
Sov. Phys. JETP
, vol.46
, pp. 281-291
-
-
Karpman, V.I.1
Maslov, E.M.2
-
16
-
-
33646989147
-
Dynamics of sine-gordon solitons in the presence of perturbations
-
M. B. Fogel, S. E. Trullinger, A. R. Bishop, and J. A. Krumhansl, "Dynamics of sine-Gordon solitons in the presence of perturbations," Phys. Rev. B 15, 1578-1592 (1977).
-
(1977)
Phys. Rev. B
, vol.15
, pp. 1578-1592
-
-
Fogel, M.B.1
Trullinger, S.E.2
Bishop, A.R.3
Krumhansl, J.A.4
-
17
-
-
0000246483
-
Linear stability of internal wave solitons in a deep stratified fluid
-
H. H. Chen and D. J. Kaup, "Linear stability of internal wave solitons in a deep stratified fluid," Phys. Fluids 23, 235-238 (1980).
-
(1980)
Phys. Fluids
, vol.23
, pp. 235-238
-
-
Chen, H.H.1
Kaup, D.J.2
-
18
-
-
0001290416
-
Perturbation theory for solitons in optical fibers
-
D. J, Kaup, "Perturbation theory for solitons in optical fibers," Phys. Rev. A 42, 5689 (1990).
-
(1990)
Phys. Rev. A
, vol.42
, pp. 5689
-
-
D J, K.1
-
19
-
-
0001598066
-
A direct approach to studying soliton perturbations
-
R. L. Herman, "A direct approach to studying soliton perturbations," J. Phys. A 23, 2327-2362 (1990).
-
(1990)
J. Phys. A
, vol.23
, pp. 2327-2362
-
-
Herman, R.L.1
-
20
-
-
5544242407
-
Direct approach to the study of soliton perturbations
-
J. Yan and Y. Tang, "Direct approach to the study of soliton perturbations," Phys. Rev. E 54, 6816-6824 (1996).
-
(1996)
Phys. Rev. E
, vol.54
, pp. 6816-6824
-
-
Yan, J.1
Tang, Y.2
-
21
-
-
0000164801
-
Linear stability of multiple internal solitary waves in fluids of great depth
-
Y. Matsuno and D. J. Kaup, "Linear stability of multiple internal solitary waves in fluids of great depth," Phys. Lett. A 228, 176-181 (1997).
-
(1997)
Phys. Lett. A
, vol.228
, pp. 176-181
-
-
Matsuno, Y.1
Kaup, D.J.2
-
22
-
-
0031534144
-
Initial value problem of the linearized benjamin-ono equation and its applications
-
Y. Matsuno and D. J. Kaup, "Initial value problem of the linearized Benjamin-Ono equation and its applications," J. Math. Phys. 38, 5198-5224 (1997).
-
(1997)
J. Math. Phys.
, vol.38
, pp. 5198-5224
-
-
Matsuno, Y.1
Kaup, D.J.2
-
23
-
-
0033704007
-
Stability and evolution of solitary waves in perturbed generalized nonlinear schrödinger equations
-
J. Yang and D. J. Kaup, "Stability and evolution of solitary waves in perturbed generalized nonlinear Schrödinger equations," SIAM J. Appl. Math. 60, 967-989 (2000).
-
(2000)
SIAM J. Appl. Math.
, vol.60
, pp. 967-989
-
-
Yang, J.1
Kaup, D.J.2
-
24
-
-
20444364060
-
Perturbations of solitons and solitary waves
-
Y. Kodama and M. J. Ablowitz, "Perturbations of solitons and solitary waves," Stud. Appl. Math. 64, 225-245 (1981).
-
(1981)
Stud. Appl. Math.
, vol.64
, pp. 225-245
-
-
Kodama, Y.1
Ablowitz, M.J.2
-
25
-
-
29144501620
-
Dynamics of solitons in nearly integrable systems
-
Y. S. Kivshar and B. A. Malomed, "Dynamics of solitons in nearly integrable systems," Rev. Mod. Phys. 61, 763 (1989).
-
(1989)
Rev. Mod. Phys.
, vol.61
, pp. 763
-
-
Kivshar, Y.S.1
Malomed, B.A.2
-
26
-
-
0001210055
-
Completeness of derivatives of squared schrödinger eigenfunctions and explicit solutions of the linearized kdv equation
-
R. L. Sachs, "Completeness of derivatives of squared Schrödinger eigenfunctions and explicit solutions of the linearized KdV equation," SIAM (Soc. Ind. Appl. Math.) J. Math. Anal. 14, 674-683 (1983).
-
(1983)
SIAM (Soc. Ind. Appl. Math.) J. Math. Anal.
, vol.14
, pp. 674-683
-
-
Sachs, R.L.1
-
27
-
-
11744332120
-
Internal modes of solitary waves
-
Y. S. Kivshar, D. E. Pelinovsky, T. Cretegny, and M. Peyrard "Internal modes of solitary waves," Phys. Rev. Lett. 80, 5032 (1998).
-
(1998)
Phys. Rev. Lett.
, vol.80
, pp. 5032
-
-
Kivshar, Y.S.1
Pelinovsky, D.E.2
Cretegny, T.3
Peyrard, M.4
-
28
-
-
22244434657
-
Internal modes of envelope solitons
-
D. Pelinovsky, Y. Kivshar, and V. Afanasjev, "Internal modes of envelope solitons," Physica D 116, 121 (1998).
-
(1998)
Physica D
, vol.116
, pp. 121
-
-
Pelinovsky, D.1
Kivshar, Y.2
Afanasjev, V.3
-
29
-
-
84958277283
-
Internal oscillations and radiation damping of vector solitons
-
to appear in
-
D. E. Pelinovsky and J. Yang, "Internal oscillations and radiation damping of vector solitons," to appear in Stud. Appl. Math.
-
Stud. Appl. Math.
-
-
Pelinovsky, D.E.1
Yang, J.2
-
30
-
-
0016369301
-
The inverse scattering transform-fourier analysis for nonlinear problems
-
M. J. Ablowitz, D. J. Kaup, A. C. Newell, and H. Segur, "The inverse scattering transform-Fourier analysis for nonlinear problems," Stud. Appl. Math. 53, 249-336 (1974).
-
(1974)
Stud. Appl. Math.
, vol.53
, pp. 249-336
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
-
31
-
-
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
-
32
-
-
85037772779
-
Dynamics of embedded solitons in the extended korteweg-de vries equations
-
to appear in
-
J. Yang, "Dynamics of embedded solitons in the extended Korteweg-de Vries equations," to appear in Stud. Appl. Math.
-
Stud. Appl. Math.
-
-
Yang, J.1
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