-
1
-
-
0003607253
-
-
Cambridge University Press, Cambridge
-
Ablowitz, M. J. and Clarkson, P. A., Solitons, Nonlinear Evolution Equations and Inverse Scattering, Cambridge University Press, Cambridge, 1991.
-
(1991)
Solitons, Nonlinear Evolution Equations and Inverse Scattering
-
-
Ablowitz, M.J.1
Clarkson, P.A.2
-
2
-
-
14944339642
-
Nonlinear evoluation equations of physical significance
-
Ablowitz, M. J., Kaup, D. J., Newell, A. C. and Segur, H., 'Nonlinear evoluation equations of physical significance', Phys. Rev. Lett., 31, 125-127 (1973).
-
(1973)
Phys. Rev. Lett.
, vol.31
, pp. 125-127
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
-
3
-
-
0016369301
-
The inverse scattering transform-Fourier analysis for nonlinear problems
-
Ablowitz, M. J., Kaup, D. J., Newell, A. C. and Segur, H., 'The inverse scattering transform-Fourier analysis for nonlinear problems', Stud. Appl. Math., 53, 249-315 (1974).
-
(1974)
Stud. Appl. Math.
, vol.53
, pp. 249-315
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
-
4
-
-
0002641090
-
Reduction technique for nonlinear evolution equations solvable by the spectral transforms
-
Calogero, F. and Degasperis, A., 'Reduction technique for nonlinear evolution equations solvable by the spectral transforms', J. Math. Phys., 22, 23-31 (1981).
-
(1981)
J. Math. Phys.
, vol.22
, pp. 23-31
-
-
Calogero, F.1
Degasperis, A.2
-
5
-
-
0007601706
-
Exact solutions of nonlinear evolution equations of the AKNS Class
-
Chan, W. L. and Zheng, Y. K., 'Exact solutions of nonlinear evolution equations of the AKNS Class', J. Austral. Math. Soc. Ser. B, 30, 313-325 (1989).
-
(1989)
J. Austral. Math. Soc. Ser. B
, vol.30
, pp. 313-325
-
-
Chan, W.L.1
Zheng, Y.K.2
-
6
-
-
0039122342
-
General derivation of Bäcklund transformation from inverse scattering problems
-
Chen, H. H. 'General derivation of Bäcklund transformation from inverse scattering problems', Phys. Rev. Lett., 33, 925-928; J. Math. Phys., 16, 3282 (1974).
-
Phys. Rev. Lett.
, vol.33
, pp. 925-928
-
-
Chen, H.H.1
-
7
-
-
0039122342
-
-
Chen, H. H. 'General derivation of Bäcklund transformation from inverse scattering problems', Phys. Rev. Lett., 33, 925-928; J. Math. Phys., 16, 3282 (1974).
-
(1974)
J. Math. Phys.
, vol.16
, pp. 3282
-
-
-
8
-
-
36749109071
-
Bäcklund transformation solutions of the Lattice equarion
-
Chen, H. H. and Liu, C. S., 'Bäcklund transformation solutions of the Lattice equarion', J. Math. Phys., 16, 1428-1430 (1975).
-
(1975)
J. Math. Phys.
, vol.16
, pp. 1428-1430
-
-
Chen, H.H.1
Liu, C.S.2
-
9
-
-
0025530654
-
On series expansion giving closed-form solutions of KdV-like equations
-
Coffey, M., 'On series expansion giving closed-form solutions of KdV-like equations', SIAM J. Appl. Math., 50, 1580-1592 (1990).
-
(1990)
SIAM J. Appl. Math.
, vol.50
, pp. 1580-1592
-
-
Coffey, M.1
-
10
-
-
0003421814
-
-
Academic Press, New York
-
Dodd, R. K., Eilbeck, J. C., Gibbon, J. D. and Morris, H. C., Solitons and Nonlinear Wave Equations, Academic Press, New York, 1982.
-
(1982)
Solitons and Nonlinear Wave Equations
-
-
Dodd, R.K.1
Eilbeck, J.C.2
Gibbon, J.D.3
Morris, H.C.4
-
11
-
-
36749119273
-
A symmetry approach to exactly solvable equations
-
Fokas, A. S., 'A symmetry approach to exactly solvable equations', J Math. Phys., 21 1318-1325 (1980).
-
(1980)
J Math. Phys.
, vol.21
, pp. 1318-1325
-
-
Fokas, A.S.1
-
12
-
-
11544249564
-
Bäcklund transformations and solutions to KdV-type equations
-
Hlavaty, L., 'Bäcklund transformations and solutions to KdV-type equations', J. Phys. A: Math. Gen., 18, 1933-1938 (1985).
-
(1985)
J. Phys. A: Math. Gen.
, vol.18
, pp. 1933-1938
-
-
Hlavaty, L.1
-
13
-
-
0000949737
-
Bäcklund transformations and Painlevé analysis: Exact solutions for the nonlinear isothermal magnetostatic atmospheres
-
in press
-
Khater, A. H., Callebaut, D. K. and Ibrahim, R. S., 'Bäcklund transformations and Painlevé analysis: exact solutions for the nonlinear isothermal magnetostatic atmospheres', Phys. Plasmas (1997a), in press.
-
(1997)
Phys. Plasmas
-
-
Khater, A.H.1
Callebaut, D.K.2
Ibrahim, R.S.3
-
14
-
-
0031342907
-
Two new classes of exact solutions for the DdV equation via Bäcklund transformations
-
in press
-
Khater, A. H., Helal, M. A. and El-Kalaawy, O. H., 'Two new classes of exact solutions for the DdV equation via Bäcklund transformations'. Chaos Solitons Fractals (1997b),in press.
-
(1997)
Chaos Solitons Fractals
-
-
Khater, A.H.1
Helal, M.A.2
El-Kalaawy, O.H.3
-
15
-
-
0031069328
-
Backlund transformations and Painlevé analysis: Exact solutions for a Grad-Shafranov-type magnetohydordynamic equilibrium
-
Khater, A. H., Ibrahim, R. S., Shamardan, A. B. and Callebaut, D. K., 'Backlund transformations and Painlevé analysis: exact solutions for a Grad-Shafranov-type magnetohydordynamic equilibrium,' JMA. J. Appl. Math., 58, 51-69 (1997c).
-
(1997)
JMA. J. Appl. Math.
, vol.58
, pp. 51-69
-
-
Khater, A.H.1
Ibrahim, R.S.2
Shamardan, A.B.3
Callebaut, D.K.4
-
16
-
-
0001725987
-
Simple derivation of Backlund transformation from Riccati form of inverse method
-
Konno, K. and Wadati, M., 'Simple derivation of Backlund transformation from Riccati form of inverse method', Progr. Theoret. Phys., 53, 1652-1656 (1975).
-
(1975)
Progr. Theoret. Phys.
, vol.53
, pp. 1652-1656
-
-
Konno, K.1
Wadati, M.2
-
17
-
-
36849100403
-
Bäcklund transformations for certain nonlinear equations
-
Lamb, G. L., 'Bäcklund transformations for certain nonlinear equations', J. Math. Phys. 15, 2157-2165 (1974).
-
(1974)
J. Math. Phys.
, vol.15
, pp. 2157-2165
-
-
Lamb, G.L.1
-
19
-
-
0041018951
-
The Backlund transformation for nonlinear evolution equations which exhibit exotic solitons
-
Levi, O., Rognisco, D. and Sym, A., 'The Backlund transformation for nonlinear evolution equations which exhibit exotic solitons' Phys. Lett., 100A, 7-10 (1984).
-
(1984)
Phys. Lett.
, vol.100 A
, pp. 7-10
-
-
Levi, O.1
Rognisco, D.2
Sym, A.3
-
20
-
-
0040424816
-
Bäcklund transformations and explicit solutions of certain inhomogeneous nonlinear Schrödinger-type equations
-
Porsezian, K., 'Bäcklund transformations and explicit solutions of certain inhomogeneous nonlinear Schrödinger-type equations', J. Phys. A: Math. Gen., 24, L337-L343 (1991).
-
(1991)
J. Phys. A: Math. Gen.
, vol.24
-
-
Porsezian, K.1
-
22
-
-
0007690397
-
The modified Korteweg-de Vries
-
Wadati, M., 'The modified Korteweg-de Vries', J. Phys. Soc. Japan, 34, 1289-1296 (1973).
-
(1973)
J. Phys. Soc. Japan
, vol.34
, pp. 1289-1296
-
-
Wadati, M.1
-
23
-
-
0001475553
-
Relationships among method, Bäcklund transformation and an infinite number of conservation laws
-
Wadati, M., Sunuki, H. and Konno, K., 'Relationships among method, Bäcklund transformation and an infinite number of conservation laws', Prog. Theort. Phys., 53, 419-436 (1975).
-
(1975)
Prog. Theort. Phys.
, vol.53
, pp. 419-436
-
-
Wadati, M.1
Sunuki, H.2
Konno, K.3
-
24
-
-
0001157492
-
Bäcklund transformation for solutions of the Kortewegde Vries equation
-
Wahlquist, H. D. and Estabrook, F. B., 'Bäcklund transformation for solutions of the Kortewegde Vries equation', Phys. Rev. Lett., 31, 1386-1390 (1973).
-
(1973)
Phys. Rev. Lett.
, vol.31
, pp. 1386-1390
-
-
Wahlquist, H.D.1
Estabrook, F.B.2
-
25
-
-
0002557939
-
Exact theory of two dimensional self-focusing and one-dimensional self-modulation of waves in nonlinear media
-
Zakharov, V. E. and Shabat, A. B., '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
|