-
1
-
-
0016369301
-
The inverse scattering transform-Fourier analysis for nonlinear problems
-
[AKNS] MR0450815 (56:9108)
-
[AKNS] M. J. Ablowitz, D. J. Kaup, A. C. Newell and H. Segur, The. inverse scattering transform-Fourier analysis for nonlinear problems, Studies in Appl. Math. 53 (1974), 249-315. MR0450815 (56:9108)
-
(1974)
Studies in Appl. Math.
, vol.53
, pp. 249-315
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
-
2
-
-
36749108920
-
Solitons and rational solutions of nonlinear evolution equations
-
[ASa] MR0507515 (80b:35121)
-
[ASa] M. J. Ablowitz and J. Satsuma, Solitons and rational solutions of nonlinear evolution equations, J. Math. Phys. 19 (1978), 2180-2186. MR0507515 (80b:35121)
-
(1978)
J. Math. Phys.
, vol.19
, pp. 2180-2186
-
-
Ablowitz, M.J.1
Satsuma, J.2
-
4
-
-
34250282189
-
On a class of polynomials connected with the Korteweg-de Vries equation
-
[AM] MR0501106 (58:18554)
-
[AM] M. Adler and J. Moser, On a class of polynomials connected with the Korteweg-de Vries equation, Commun. Math. Phys. 61 (1978), 1-30. MR0501106 (58:18554)
-
(1978)
Commun. Math. Phys.
, vol.61
, pp. 1-30
-
-
Adler, M.1
Moser, J.2
-
8
-
-
0042760401
-
Representations of the multisoliton solutions of the Korteweg-de Vries equation
-
[BS] MR1266543 (94m:35260)
-
[BS] A. C. Bryan and A. E. G. Stuart, Representations of the multisoliton solutions of the Korteweg-de Vries equation, Nonlinear Anal. 22 (1994), 561-566. MR1266543 (94m:35260)
-
(1994)
Nonlinear Anal.
, vol.22
, pp. 561-566
-
-
Bryan, A.C.1
Stuart, A.E.G.2
-
9
-
-
0004212393
-
-
[BC] Springer-Verlag, Berlin, MR0625877 (82m:35001)
-
[BC] R. K. Bullough and P. J. Caudrey (eds.), Solitons, Springer-Verlag, Berlin, 1980. MR0625877 (82m:35001)
-
(1980)
Solitons
-
-
Bullough, R.K.1
Caudrey, P.J.2
-
10
-
-
0000419720
-
A loop algebra co-adjoint orbit construction of the generalized KdV hierarchies
-
[B] MR1231775 (94j:58078)
-
[B] N. J. Burroughs, A loop algebra co-adjoint orbit construction of the generalized KdV hierarchies, Nonlinearity 8 (1993), 583-616. MR1231775 (94j:58078)
-
(1993)
Nonlinearity
, vol.8
, pp. 583-616
-
-
Burroughs, N.J.1
-
11
-
-
0000541374
-
On three-dimensional packets of surface waves
-
[DS] MR0349126 (50:1620)
-
[DS] A. Davey and K. Stewarton, On three-dimensional packets of surface waves, Proc. R. Soc. A 338 (1974), 101-110. MR0349126 (50:1620)
-
(1974)
Proc. R. Soc. A
, vol.338
, pp. 101-110
-
-
Davey, A.1
Stewarton, K.2
-
12
-
-
0004241724
-
-
[DJ] Cambridge University Press, Cambridge, MR0985322 (90j:35166)
-
[DJ] P. G. Drazin and R. S. Johnson, Solitons: an Introduction, Cambridge University Press, Cambridge, 1989. MR0985322 (90j:35166)
-
(1989)
Solitons: An Introduction
-
-
Drazin, P.G.1
Johnson, R.S.2
-
13
-
-
0002300501
-
Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: The Wronskian technique
-
[FN] MR0700477 (85j:35168)
-
[FN] N. C. Freeman and J. J. C. Nimmo, Soliton solutions of the Korteweg-de Vries and Kadomtsev-Petviashvili equations: the Wronskian technique, Phys. Lett. A 95 (1983), 1-3. MR0700477 (85j:35168)
-
(1983)
Phys. Lett. A
, vol.95
, pp. 1-3
-
-
Freeman, N.C.1
Nimmo, J.J.C.2
-
14
-
-
35949040541
-
Exact solution of the Korteweg de Vries equation for multiple collisions of saluons
-
[H]
-
[H] R. Hirota, Exact solution of the Korteweg de Vries equation for multiple collisions of saluons, Phys. Rev. Lett. 27 (1971), 1192-1194.
-
(1971)
Phys. Rev. Lett.
, vol.27
, pp. 1192-1194
-
-
Hirota, R.1
-
15
-
-
0003779190
-
-
[HS] Academic Press, San Diego, California, MR0486784 (58:6484)
-
[HS] M. W. Hirsch and S. Smale, Differential Equations, Dynamical Systems, and Linear Algebra, Academic Press, San Diego, California, 1974. MR0486784 (58:6484)
-
(1974)
Differential Equations, Dynamical Systems, and Linear Algebra
-
-
Hirsch, M.W.1
Smale, S.2
-
16
-
-
0043142732
-
Breather-like solutions to the Korteweg-de Vries equation
-
[J] MR0758224 (85h:35198)
-
[J] M. Jaworski, Breather-like solutions to the Korteweg-de Vries equation, Phys. Lett. A 104 (1984), 245-247. MR0758224 (85h:35198)
-
(1984)
Phys. Lett. A
, vol.104
, pp. 245-247
-
-
Jaworski, M.1
-
17
-
-
0000262859
-
On the stability of solitary waves in weakly dispersing media
-
[KP]
-
[KP] B. B. Kadomtsev and V. I. Petviashvili, On the stability of solitary waves in weakly dispersing media, Sov. Phys. Dokl. 15 (1970), 539-541.
-
(1970)
Sov. Phys. Dokl.
, vol.15
, pp. 539-541
-
-
Kadomtsev, B.B.1
Petviashvili, V.I.2
-
18
-
-
0032011416
-
Basic motions of the Korteweg-de Vries equation
-
[K] MR1487849 (99f:35177)
-
[K] M. Kovalyov, Basic motions of the Korteweg-de Vries equation, Nonlinear Anal. 31 (1998), 599-619. MR1487849 (99f:35177)
-
(1998)
Nonlinear Anal.
, vol.31
, pp. 599-619
-
-
Kovalyov, M.1
-
19
-
-
84981754671
-
Integrals of nonlinear equations of evolution and solitary waves
-
[L] MR0235310 (38:3620)
-
[L] P. D. Lax, Integrals of nonlinear equations of evolution and solitary waves, Comm. Pure Appl. Math. 21 (1968), 467-490. MR0235310 (38:3620)
-
(1968)
Comm. Pure Appl. Math.
, vol.21
, pp. 467-490
-
-
Lax, P.D.1
-
20
-
-
0037136277
-
Complexiton solutions to the Korteweg-de Vries equation
-
[M] MR1927047 (2003h:35237)
-
[M] W. X. Ma, Complexiton solutions to the Korteweg-de Vries equation, Phys. Lett. A 301 (2002), 35-44. MR1927047 (2003h:35237)
-
(2002)
Phys. Lett. A
, vol.301
, pp. 35-44
-
-
Ma, W.X.1
-
21
-
-
36749117832
-
A simple model of the integrable Hamiltonian equation
-
[Mag] MR0488516 (80a:35112)
-
[Mag] F. Magri, A simple model of the integrable Hamiltonian equation, J. Math. Phys. 19 (1978), 1156-1162. MR0488516 (80a:35112)
-
(1978)
J. Math. Phys.
, vol.19
, pp. 1156-1162
-
-
Magri, F.1
-
22
-
-
0000758935
-
Generalized Wronskian formula for solutions of the KdV equations: First applications; Positon-positon and soliton-positon collisions: KdV case
-
[Mat] MR1170966 (93g:35125a); MR1170967 (93c:35141)
-
[Mat] V. B. Matveev, Generalized Wronskian formula for solutions of the KdV equations: first applications; Positon-positon and soliton-positon collisions: KdV case, Phys. Lett. A 186 (1992), 205-208; 209-212. MR1170966 (93g:35125a); MR1170967 (93c:35141)
-
(1992)
Phys. Lett. A
, vol.186
, pp. 205-208
-
-
Matveev, V.B.1
-
24
-
-
33748069497
-
Korteweg-de Vries equation and generalizations II: Existence of conservation laws and constants of motion
-
[MGK] MR0252826 (40:6042b)
-
[MGK] R. M. Miura, C. S. Gardner and M. D. Kruskal, Korteweg-de Vries equation and generalizations II: Existence of conservation laws and constants of motion, J. Math. Phys. 9 (1968), 1204-1209. MR0252826 (40:6042b)
-
(1968)
J. Math. Phys.
, vol.9
, pp. 1204-1209
-
-
Miura, R.M.1
Gardner, C.S.2
Kruskal, M.D.3
-
25
-
-
0010115186
-
Negaton and positon solutions of the KdV and mKdV hierarchy
-
[RSK] MR1395807 (97c:35182)
-
[RSK] C. Rasinariu, U. Sukhatme and A. Khare, Negaton and positon solutions of the KdV and mKdV hierarchy, J. Phys. A: Math. Gen. 29 (1996), 1803-1823. MR1395807 (97c:35182)
-
(1996)
J. Phys. A: Math. Gen.
, vol.29
, pp. 1803-1823
-
-
Rasinariu, C.1
Sukhatme, U.2
Khare, A.3
-
26
-
-
77952765086
-
A Wronskian representation of N-soliton solutions of nonlinear evolution equations
-
[S]
-
[S] J. Satsuma, A Wronskian representation of N-soliton solutions of nonlinear evolution equations, J. Phys. Soc. Jpn. 46 (1979) 359-360.
-
(1979)
J. Phys. Soc. Jpn.
, vol.46
, pp. 359-360
-
-
Satsuma, J.1
-
27
-
-
51249179487
-
Loop groups and equations of KdV type
-
[SW] MR0783348 (87b:58039)
-
[SW] G. Segal and G. Wilson, Loop groups and equations of KdV type, Inst. Hautes Études Sci. Publ. Math. No. 81 (1985), 5-65. MR0783348 (87b:58039)
-
(1985)
Inst. Hautes Études Sci. Publ. Math. No.
, vol.81
, pp. 5-65
-
-
Segal, G.1
Wilson, G.2
-
29
-
-
0010172092
-
A note on the Wronskian form of solutions of the KdV equation
-
[SHR] MR0972621 (89k:35230)
-
[SHR] S. Sirianunpiboon, S. D. Howard and S. K. Roy, A note on the Wronskian form of solutions of the KdV equation, Phys. Lett. A 134 (1988), 31-33. MR0972621 (89k:35230)
-
(1988)
Phys. Lett. A
, vol.134
, pp. 31-33
-
-
Sirianunpiboon, S.1
Howard, S.D.2
Roy, S.K.3
-
30
-
-
21444440027
-
Global dynamics of dissipative generalized Korteweg-de Vries equations
-
[Y] MR1441652 (97k:35230)
-
[Y] Y. You, Global dynamics of dissipative generalized Korteweg-de Vries equations, Chin. Ann. of Math. 17B (1996), 389-402. MR1441652 (97k:35230)
-
(1996)
Chin. Ann. of Math.
, vol.17 B
, pp. 389-402
-
-
You, Y.1
|