-
2
-
-
0035517241
-
Introduction to solitons
-
Wadati M. Introduction to solitons. Pramana: J. Phys. 57 5-6 (2001) 841-847
-
(2001)
Pramana: J. Phys.
, vol.57
, Issue.5-6
, pp. 841-847
-
-
Wadati, M.1
-
3
-
-
0347821899
-
The exact solution of the modified Korteweg-de Vries equation
-
Wadati M. The exact solution of the modified Korteweg-de Vries equation. J. Phys. Soc. Japan 32 (1972) 1681-1687
-
(1972)
J. Phys. Soc. Japan
, vol.32
, pp. 1681-1687
-
-
Wadati, M.1
-
4
-
-
0007690397
-
The modified Korteweg-de Vries equation
-
Wadati M. The modified Korteweg-de Vries equation. J. Phys. Soc. Japan 34 (1973) 1289-1296
-
(1973)
J. Phys. Soc. Japan
, vol.34
, pp. 1289-1296
-
-
Wadati, M.1
-
6
-
-
0013052570
-
Direct method of finding exact solutions of nonlinear evolution equations
-
Bullough R., and Caudrey P. (Eds), Springer, Berlin
-
Hirota R. Direct method of finding exact solutions of nonlinear evolution equations. In: Bullough R., and Caudrey P. (Eds). Backlund Transformations (1980), Springer, Berlin 1157-1175
-
(1980)
Backlund Transformations
, pp. 1157-1175
-
-
Hirota, R.1
-
7
-
-
0001229736
-
Solitary wave solutions of nonlinear wave equations
-
Malfliet W. Solitary wave solutions of nonlinear wave equations. Amer. J. Phys. 60 (1992) 650-654
-
(1992)
Amer. J. Phys.
, vol.60
, pp. 650-654
-
-
Malfliet, W.1
-
8
-
-
0004483962
-
The tanh method: I. Exact solutions of nonlinear evolution and wave equations
-
Malfliet W., and Hereman W. The tanh method: I. Exact solutions of nonlinear evolution and wave equations. Physica. Scripta 54 (1996) 563-568
-
(1996)
Physica. Scripta
, vol.54
, pp. 563-568
-
-
Malfliet, W.1
Hereman, W.2
-
9
-
-
0034606149
-
Extented tanh-function method and its applications to nonlinear equations
-
Fan E. Extented tanh-function method and its applications to nonlinear equations. Phys. Lett. A 277 (2000) 212
-
(2000)
Phys. Lett. A
, vol.277
, pp. 212
-
-
Fan, E.1
-
10
-
-
33745177020
-
Exp-function method for nonlinear wave equations
-
He J.-H., and Wu Xu.-H. Exp-function method for nonlinear wave equations. Chaos Solitons Fractals 30 (2006) 700-708
-
(2006)
Chaos Solitons Fractals
, vol.30
, pp. 700-708
-
-
He, J.-H.1
Wu, Xu.-H.2
-
11
-
-
34250163508
-
New periodic solutions for nonlinear evolution equations using Exp-function method
-
He J.H., and Abdou M.A. New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos Solitons Fractals 34 5 (2007) 1421-1429
-
(2007)
Chaos Solitons Fractals
, vol.34
, Issue.5
, pp. 1421-1429
-
-
He, J.H.1
Abdou, M.A.2
-
12
-
-
38849153144
-
-
X.H. Wu, J.-H. He, Exp-function method and its application to nonlinear equations, Chaos Solitons Fractals, in press (doi:10.1016/j.chaos.2007.01.024)
-
X.H. Wu, J.-H. He, Exp-function method and its application to nonlinear equations, Chaos Solitons Fractals, in press (doi:10.1016/j.chaos.2007.01.024)
-
-
-
-
13
-
-
20844437798
-
The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants
-
Wazwaz A.M. The tanh and the sine-cosine methods for a reliable treatment of the modified equal width equation and its variants. Commun. Nonlinear Sci. Numer. Simul. 11 2 (2006) 148-160
-
(2006)
Commun. Nonlinear Sci. Numer. Simul.
, vol.11
, Issue.2
, pp. 148-160
-
-
Wazwaz, A.M.1
-
14
-
-
27944503380
-
The tanh method and the sine-cosine method for solving the KP-MEW equation
-
Wazwaz A.M. The tanh method and the sine-cosine method for solving the KP-MEW equation. Int. J. Comput. Math. 82 2 (2005) 235-246
-
(2005)
Int. J. Comput. Math.
, vol.82
, Issue.2
, pp. 235-246
-
-
Wazwaz, A.M.1
-
15
-
-
4344673183
-
A note on the homogeneous balance method
-
Fan E., and Zhang H. A note on the homogeneous balance method. Phys. Lett. A 246 (1998) 403-406
-
(1998)
Phys. Lett. A
, vol.246
, pp. 403-406
-
-
Fan, E.1
Zhang, H.2
-
16
-
-
0035888417
-
On the extented applications of homogeneous balance method
-
Senthilvelan M. On the extented applications of homogeneous balance method. Appl. Math. Comput. 123 (2001) 381-388
-
(2001)
Appl. Math. Comput.
, vol.123
, pp. 381-388
-
-
Senthilvelan, M.1
-
17
-
-
0001051423
-
Exact solutions for a compound KdV-Burgers equation
-
Wang M.L. Exact solutions for a compound KdV-Burgers equation. Phys. Lett. A 213 (1996) 279-287
-
(1996)
Phys. Lett. A
, vol.213
, pp. 279-287
-
-
Wang, M.L.1
-
18
-
-
12044253199
-
Compactons: Solitons with finite wavelengths
-
Rosenau P., and Hyman J.M. Compactons: Solitons with finite wavelengths. Phys. Rev. Lett. 70 5 (1993) 564-567
-
(1993)
Phys. Rev. Lett.
, vol.70
, Issue.5
, pp. 564-567
-
-
Rosenau, P.1
Hyman, J.M.2
-
19
-
-
0008071969
-
Lie Symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2 + 1)-dimensional nonlinear evolution equations
-
Senthilvelan M., and Laksmanan M. Lie Symmetries, Kac-Moody-Virasoro algebras and integrability of certain (2 + 1)-dimensional nonlinear evolution equations. J. Nonlinear Math. Phys. 5 (1998) 190-211
-
(1998)
J. Nonlinear Math. Phys.
, vol.5
, pp. 190-211
-
-
Senthilvelan, M.1
Laksmanan, M.2
-
20
-
-
0032672778
-
Homotopy perturbation technique
-
He J.-H. Homotopy perturbation technique. Comput. Methods Appl. Mech. Engrg. 178 3-4 (1999) 257-262
-
(1999)
Comput. Methods Appl. Mech. Engrg.
, vol.178
, Issue.3-4
, pp. 257-262
-
-
He, J.-H.1
-
21
-
-
0033702384
-
A coupling method of homotopy technique and perturbation technique for nonlinear problems
-
He J.-H. A coupling method of homotopy technique and perturbation technique for nonlinear problems. Int. J. Nonlinear Mech. 35 1 (2000) 37-43
-
(2000)
Int. J. Nonlinear Mech.
, vol.35
, Issue.1
, pp. 37-43
-
-
He, J.-H.1
-
22
-
-
17844387391
-
Homotopy perturbation method for bifurcation of nonlinear problems
-
He J.-H. Homotopy perturbation method for bifurcation of nonlinear problems. Int. J. Nonlinear Sci. Numer. Simul. 6 2 (2005) 207
-
(2005)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.6
, Issue.2
, pp. 207
-
-
He, J.-H.1
-
23
-
-
34548459893
-
-
E. Yusufoglu, An efficient algorithm for solving integro-differential equations system, Appl. Math. Comput., in press (doi:10.1016/j.amc.2007.02.134)
-
E. Yusufoglu, An efficient algorithm for solving integro-differential equations system, Appl. Math. Comput., in press (doi:10.1016/j.amc.2007.02.134)
-
-
-
-
24
-
-
34548580632
-
-
E. Yusufoglu, Homotopy perturbation method for solving a nonlinear system of second order boundary value problems, Int. J. Nonlinear Sci. Numer. Simul. 8 (3) 353-358
-
E. Yusufoglu, Homotopy perturbation method for solving a nonlinear system of second order boundary value problems, Int. J. Nonlinear Sci. Numer. Simul. 8 (3) 353-358
-
-
-
-
25
-
-
0032307661
-
Approximate analytical solution for seepage flow with fractional derivatives in porous media
-
He J.-H. Approximate analytical solution for seepage flow with fractional derivatives in porous media. Comput. Methods Appl. Mech. Engrg. 167 (1998) 57
-
(1998)
Comput. Methods Appl. Mech. Engrg.
, vol.167
, pp. 57
-
-
He, J.-H.1
-
26
-
-
33645972898
-
Some asymptotic methods for strongly nonlinear equations
-
He J.-H. Some asymptotic methods for strongly nonlinear equations. Int. J. Mod. Phys. B 20 10 (2006) 1141-1199
-
(2006)
Int. J. Mod. Phys. B
, vol.20
, Issue.10
, pp. 1141-1199
-
-
He, J.-H.1
-
27
-
-
34249883978
-
Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations
-
Yusufoglu E. Variational iteration method for construction of some compact and noncompact structures of Klein-Gordon equations. Int. J. Nonlinear Sci. Numer. Simul. 8 2 (2007) 153-158
-
(2007)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.8
, Issue.2
, pp. 153-158
-
-
Yusufoglu, E.1
-
28
-
-
34447636239
-
The variational iteration method for solitary patterns solutions of gBBM equation
-
Yusufoglu E., and Bekir A. The variational iteration method for solitary patterns solutions of gBBM equation. Phys. Lett. A 367 (2007) 461-464
-
(2007)
Phys. Lett. A
, vol.367
, pp. 461-464
-
-
Yusufoglu, E.1
Bekir, A.2
-
29
-
-
0038451356
-
New exact travelling wave solutions for the Kawahara and modified Kawahara equations
-
Sirendaoreji. New exact travelling wave solutions for the Kawahara and modified Kawahara equations. Chaos Solitons Fractals 19 (2004) 147-150
-
(2004)
Chaos Solitons Fractals
, vol.19
, pp. 147-150
-
-
Sirendaoreji1
-
30
-
-
18444384233
-
Doubly periodic solutions of the modified Kawahara equations
-
Zhang D. Doubly periodic solutions of the modified Kawahara equations. Chaos Solitons Fractals 25 (2005) 1155-1160
-
(2005)
Chaos Solitons Fractals
, vol.25
, pp. 1155-1160
-
-
Zhang, D.1
-
31
-
-
0037697149
-
Compacton solutions of the Kawahara-type nonlinear dispersive equation
-
Wazwaz A.M. Compacton solutions of the Kawahara-type nonlinear dispersive equation. Appl. Math. Comput. 145 (2003) 133-150
-
(2003)
Appl. Math. Comput.
, vol.145
, pp. 133-150
-
-
Wazwaz, A.M.1
-
32
-
-
38849179648
-
Existence and uniqueness of solutions to nonlinear Kawahara equations
-
Shuangping T., and Shuangbin C. Existence and uniqueness of solutions to nonlinear Kawahara equations. Chinese Ann. Math. Ser. A 23 2 (2002) 221-228
-
(2002)
Chinese Ann. Math. Ser. A
, vol.23
, Issue.2
, pp. 221-228
-
-
Shuangping, T.1
Shuangbin, C.2
-
33
-
-
77952762814
-
Oscillatory solitary waves in dispersive media
-
Kawahara T. Oscillatory solitary waves in dispersive media. J. Phys. Soc. Japan 33 (1972) 260
-
(1972)
J. Phys. Soc. Japan
, vol.33
, pp. 260
-
-
Kawahara, T.1
-
34
-
-
0001472555
-
Weakly non-local solitons for capillary-gravity waves: Fifth degree KdV equation
-
Boyd J.P. Weakly non-local solitons for capillary-gravity waves: Fifth degree KdV equation. Physica D 48 (1991) 129-146
-
(1991)
Physica D
, vol.48
, pp. 129-146
-
-
Boyd, J.P.1
-
35
-
-
0000219244
-
Existence of perturbed solitary wave solutions to a model equation for water waves
-
Hunter J.K., and Scheule J. Existence of perturbed solitary wave solutions to a model equation for water waves. Physica D 32 (1988) 253-268
-
(1988)
Physica D
, vol.32
, pp. 253-268
-
-
Hunter, J.K.1
Scheule, J.2
-
36
-
-
0036692551
-
Generalized tanh method extented to special types of nonlinear equations
-
Fan E., and Hon Y.C. Generalized tanh method extented to special types of nonlinear equations. Z. Naturforsch 57a (2002) 692-700
-
(2002)
Z. Naturforsch
, vol.57 a
, pp. 692-700
-
-
Fan, E.1
Hon, Y.C.2
-
38
-
-
17844375694
-
New exact solutions for (3 + 1)-dimensional kadomtsev- petviashvili equation and generalized (2 + 1)-dimensional boussinesq equation
-
El-Sabbagh M.F., and Ali A.T. New exact solutions for (3 + 1)-dimensional kadomtsev- petviashvili equation and generalized (2 + 1)-dimensional boussinesq equation. Int. J. Nonlinear Sci. Numer. Simul. 6 (2005) 151-162
-
(2005)
Int. J. Nonlinear Sci. Numer. Simul.
, vol.6
, pp. 151-162
-
-
El-Sabbagh, M.F.1
Ali, A.T.2
-
39
-
-
37549036955
-
-
E. Yusufoglu, A. Bekir, Exact solutions of coupled nonlinear evolution equations, Chaos Solitons Fractals, in press (doi:10.1016/j.chaos.2006.09.074)
-
E. Yusufoglu, A. Bekir, Exact solutions of coupled nonlinear evolution equations, Chaos Solitons Fractals, in press (doi:10.1016/j.chaos.2006.09.074)
-
-
-
-
40
-
-
38849161749
-
-
E. Yusufoglu, A. Bekir, M. Alp, The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations, Chaos Solitons Fractals, in press (doi:10.1016/j.chaos.2007.02.004)
-
E. Yusufoglu, A. Bekir, M. Alp, The tanh and the sine-cosine methods for exact solutions of the MBBM and the Vakhnenko equations, Chaos Solitons Fractals, in press (doi:10.1016/j.chaos.2007.02.004)
-
-
-
-
41
-
-
25144450080
-
The tanh method: Exact solutions of the Sine-Gordon and Sinh-Gordon equations
-
Wazwaz A.M. The tanh method: Exact solutions of the Sine-Gordon and Sinh-Gordon equations. Appl. Math. Comput. 167 (2005) 1196-1210
-
(2005)
Appl. Math. Comput.
, vol.167
, pp. 1196-1210
-
-
Wazwaz, A.M.1
-
42
-
-
34247350849
-
Application of Exp-function method to a KdV equation with variable coefficients
-
Zhang S. Application of Exp-function method to a KdV equation with variable coefficients. Phys. Lett. A 365 5-6 (2007) 448-453
-
(2007)
Phys. Lett. A
, vol.365
, Issue.5-6
, pp. 448-453
-
-
Zhang, S.1
-
43
-
-
38849119316
-
-
S. Zhang, Application of Exp-function method to high-dimensional nonlinear evolution equations, Chaos Solitons Fractals, in press (doi:10.1016/j.chaos.2006.11.014)
-
S. Zhang, Application of Exp-function method to high-dimensional nonlinear evolution equations, Chaos Solitons Fractals, in press (doi:10.1016/j.chaos.2006.11.014)
-
-
-
-
44
-
-
34147152832
-
Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method
-
Ebaid A. Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method. Phys. Lett. A 365 3 (2007) 213-219
-
(2007)
Phys. Lett. A
, vol.365
, Issue.3
, pp. 213-219
-
-
Ebaid, A.1
-
45
-
-
3042713895
-
A travelling wave solution to the Korteweg-de Vries-Burger equation
-
Demiray H. A travelling wave solution to the Korteweg-de Vries-Burger equation. Appl. Math. Comput. 154 (2004) 665-670
-
(2004)
Appl. Math. Comput.
, vol.154
, pp. 665-670
-
-
Demiray, H.1
|