-
1
-
-
33745177020
-
Exp-function method for nonlinear wave equations
-
He J.H., and Wu X.H. Exp-function method for nonlinear wave equations. Chaos Solitons Fract 30 (2006) 700-708
-
(2006)
Chaos Solitons Fract
, vol.30
, pp. 700-708
-
-
He, J.H.1
Wu, X.H.2
-
2
-
-
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 Fract 34 (2007) 1421-1429
-
(2007)
Chaos Solitons Fract
, vol.34
, pp. 1421-1429
-
-
He, J.H.1
Abdou, M.A.2
-
3
-
-
34748862326
-
Solitary solutions, periodic solutions and compaction-like solutions using the Exp-function method
-
Wu X.H., and He J.H. Solitary solutions, periodic solutions and compaction-like solutions using the Exp-function method. Comput Math Appl 54 (2007) 966-986
-
(2007)
Comput Math Appl
, vol.54
, pp. 966-986
-
-
Wu, X.H.1
He, J.H.2
-
4
-
-
34548577315
-
Exp-function method for the Hybrid-Lattice system
-
Zhu S.D. Exp-function method for the Hybrid-Lattice system. Int J Nonlinear Sci Numer Simul 8 (2007) 461-464
-
(2007)
Int J Nonlinear Sci Numer Simul
, vol.8
, pp. 461-464
-
-
Zhu, S.D.1
-
5
-
-
34548631824
-
New application of the Exp-function for improved Boussinesq equation
-
Abdou M.A., Soliman A.A., and El-Basyony S.T. New application of the Exp-function for improved Boussinesq equation. Phys Lett A 369 (2007) 469-475
-
(2007)
Phys Lett A
, vol.369
, pp. 469-475
-
-
Abdou, M.A.1
Soliman, A.A.2
El-Basyony, S.T.3
-
6
-
-
34548246435
-
Application of the Exp-function method for nonlinear evolution equations with variable coefficients
-
El-Wakil S.A., Madkour M.A., and Abdou M.A. Application of the Exp-function method for nonlinear evolution equations with variable coefficients. Phys Lett A 369 (2007) 62-69
-
(2007)
Phys Lett A
, vol.369
, pp. 62-69
-
-
El-Wakil, S.A.1
Madkour, M.A.2
Abdou, M.A.3
-
7
-
-
38149058867
-
New periodic wave solutions via Exp-function method
-
El-Wakil S.A., Abdou M.A., and Hendi A. New periodic wave solutions via Exp-function method. Phys Lett A 372 (2008) 830-840
-
(2008)
Phys Lett A
, vol.372
, pp. 830-840
-
-
El-Wakil, S.A.1
Abdou, M.A.2
Hendi, A.3
-
8
-
-
35348977120
-
Exp-function method for solving Maccari's system
-
Zhang S. Exp-function method for solving Maccari's system. Phys Lett A 371 (2007) 65-71
-
(2007)
Phys Lett A
, vol.371
, pp. 65-71
-
-
Zhang, S.1
-
9
-
-
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 (2007) 213-219
-
(2007)
Phys Lett A
, vol.365
, pp. 213-219
-
-
Ebaid, A.1
-
10
-
-
37549053290
-
New solitary solutions for the MBBM equations using Exp-function method
-
Yusufoǧlu E. New solitary solutions for the MBBM equations using Exp-function method. Phys Lett A 372 (2008) 442-446
-
(2008)
Phys Lett A
, vol.372
, pp. 442-446
-
-
Yusufoǧlu, E.1
-
11
-
-
42749088097
-
A novel approach for solving the Fisher using Exp-function method
-
Ozis T., and Koroglu C. A novel approach for solving the Fisher using Exp-function method. Phys Lett A 372 (2008) 3836-3840
-
(2008)
Phys Lett A
, vol.372
, pp. 3836-3840
-
-
Ozis, T.1
Koroglu, C.2
-
12
-
-
40949138221
-
Soliton and periodic solutions for the fifth-order KdV equation with the Exp-function method
-
Chun C. Soliton and periodic solutions for the fifth-order KdV equation with the Exp-function method. Phys Lett A 372 (2008) 2760-2766
-
(2008)
Phys Lett A
, vol.372
, pp. 2760-2766
-
-
Chun, C.1
-
13
-
-
85196183046
-
-
Soliman AA. Chaos, solitons and fractals, exact solutions of the KdV-Burgers equation by Exp-function method. Chaos Solitons Fract, doi:10.1016/J.chaos.2008.04.038.
-
Soliman AA. Chaos, solitons and fractals, exact solutions of the KdV-Burgers equation by Exp-function method. Chaos Solitons Fract, doi:10.1016/J.chaos.2008.04.038.
-
-
-
-
14
-
-
42749096687
-
Application of the Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer-Kaup-Kupershmidt equations
-
Zhang S. Application of the Exp-function method to Riccati equation and new exact solutions with three arbitrary functions of Broer-Kaup-Kupershmidt equations. Phys Lett A 372 (2008) 1873-1880
-
(2008)
Phys Lett A
, vol.372
, pp. 1873-1880
-
-
Zhang, S.1
-
15
-
-
38949119784
-
Exact solutions for nonlinear evolution equation using Exp-function method
-
Bekir A., and Boz A. Exact solutions for nonlinear evolution equation using Exp-function method. Phys Lett A 372 (2008) 1619-1625
-
(2008)
Phys Lett A
, vol.372
, pp. 1619-1625
-
-
Bekir, A.1
Boz, A.2
-
16
-
-
0010251877
-
Exact soliton solutions of the generalized evolution equation of wave dynamics
-
Kudryashov N.A. Exact soliton solutions of the generalized evolution equation of wave dynamics. J Appl Math Mech 52 3 (1988) 361-365
-
(1988)
J Appl Math Mech
, vol.52
, Issue.3
, pp. 361-365
-
-
Kudryashov, N.A.1
-
17
-
-
36749112076
-
The Painleve property for partial differential equations
-
Weiss J., Tabor M., and Carnevalle G. The Painleve property for partial differential equations. J Math Phys 24 (1983) 522-526
-
(1983)
J Math Phys
, vol.24
, pp. 522-526
-
-
Weiss, J.1
Tabor, M.2
Carnevalle, G.3
-
18
-
-
36749110322
-
The Painleve property for partial differential equations. II: Backlund transformation, Lax pairs, and the Schwarzian derivative
-
Weiss J. The Painleve property for partial differential equations. II: Backlund transformation, Lax pairs, and the Schwarzian derivative. J Math Phys 24 (1983) 1405-1413
-
(1983)
J Math Phys
, vol.24
, pp. 1405-1413
-
-
Weiss, J.1
-
19
-
-
85196153418
-
-
Kudryashov NA. Analytical theory of nonlinear differential equations. Moskow-Igevsk: Institute of Computer Investigations; 2004. p. 360 [in Russian].
-
Kudryashov NA. Analytical theory of nonlinear differential equations. Moskow-Igevsk: Institute of Computer Investigations; 2004. p. 360 [in Russian].
-
-
-
-
21
-
-
36149032371
-
Exact solitary waves in a convecting fluid
-
Lou S.Y., Huang G.X., and Ruan H.Y. Exact solitary waves in a convecting fluid. J Phys A: Math Gen 24 11 (1991) L587-L590
-
(1991)
J Phys A: Math Gen
, vol.24
, Issue.11
-
-
Lou, S.Y.1
Huang, G.X.2
Ruan, H.Y.3
-
22
-
-
0030284901
-
An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations
-
Parkes E.J., and Duffy B.R. An automated tanh-function method for finding solitary wave solutions to non-linear evolution equations. Comput Phys Commun 98 (1996) 288-300
-
(1996)
Comput Phys Commun
, vol.98
, pp. 288-300
-
-
Parkes, E.J.1
Duffy, B.R.2
-
23
-
-
0004483962
-
The tanh method. I: Exact solutions of nonlinear evolution and wave equations
-
Malfliet W., and Hereman W.W. The tanh method. I: Exact solutions of nonlinear evolution and wave equations. Phys Scripta 54 (1996) 563-568
-
(1996)
Phys Scripta
, vol.54
, pp. 563-568
-
-
Malfliet, W.1
Hereman, W.W.2
-
24
-
-
0000607676
-
Exact solutions of the generalized Kuramoto-Sivashinsky equation
-
Kudryashov N.A. Exact solutions of the generalized Kuramoto-Sivashinsky equation. Phys Lett A 147 (1990) 287-291
-
(1990)
Phys Lett A
, vol.147
, pp. 287-291
-
-
Kudryashov, N.A.1
-
25
-
-
13444309466
-
Simplest equation method to look for exact solutions of nonlinear differential equations
-
Kudryashov N.A. Simplest equation method to look for exact solutions of nonlinear differential equations. Chaos Solitons Fract 24 (2005) 1217-1231
-
(2005)
Chaos Solitons Fract
, vol.24
, pp. 1217-1231
-
-
Kudryashov, N.A.1
-
26
-
-
20444493250
-
Exact solitary waves of the Fisher equations
-
Kudryashov N.A. Exact solitary waves of the Fisher equations. Phys Lett A 342 (2005) 99-106
-
(2005)
Phys Lett A
, vol.342
, pp. 99-106
-
-
Kudryashov, N.A.1
-
27
-
-
0001635608
-
On types nonlinear nonintegrable differential equations with exact solutions
-
Kudryashov N.A. On types nonlinear nonintegrable differential equations with exact solutions. Phys Lett A 155 (1991) 269-275
-
(1991)
Phys Lett A
, vol.155
, pp. 269-275
-
-
Kudryashov, N.A.1
-
28
-
-
0030597464
-
Solitary waves in active-dissipative dispersive media
-
Kudryashov N.A., and Zargaryan E.D. Solitary waves in active-dissipative dispersive media. J Phys A: Math Gen 29 (1996) 8067-8077
-
(1996)
J Phys A: Math Gen
, vol.29
, pp. 8067-8077
-
-
Kudryashov, N.A.1
Zargaryan, E.D.2
-
29
-
-
38249009217
-
Partial differential equations with solutions having movable first-order singularities
-
Kudryashov N.A. Partial differential equations with solutions having movable first-order singularities. Phys Lett A 169 (1992) 237-242
-
(1992)
Phys Lett A
, vol.169
, pp. 237-242
-
-
Kudryashov, N.A.1
-
30
-
-
34250077953
-
Multi-phase and rational solutions of one family of nonlinear equations
-
Kudryashov N.A. Multi-phase and rational solutions of one family of nonlinear equations. Theor Math Phys 94 3 (1993) 393-407
-
(1993)
Theor Math Phys
, vol.94
, Issue.3
, pp. 393-407
-
-
Kudryashov, N.A.1
-
31
-
-
8744316856
-
Exact solutions of the Burgers-Huxley equation
-
Yefimova O.Yu., and Kudryashov N.A. Exact solutions of the Burgers-Huxley equation. J Appl Math Mech 68 3 (2004) 413-420
-
(2004)
J Appl Math Mech
, vol.68
, Issue.3
, pp. 413-420
-
-
Yefimova, O.Yu.1
Kudryashov, N.A.2
-
32
-
-
0000092898
-
Painleve analysis and Backlund transformations in the Kuramoto-Sivashinsky equation
-
Conte R., and Musette M. Painleve analysis and Backlund transformations in the Kuramoto-Sivashinsky equation. J Phys A: Math Gen 22 (1989) 169-177
-
(1989)
J Phys A: Math Gen
, vol.22
, pp. 169-177
-
-
Conte, R.1
Musette, M.2
-
33
-
-
0003774151
-
The Painleve property, one century later
-
Springer-Verlag, New York p. 77-180
-
Conte R. The Painleve property, one century later. CRM series in mathematical physics (1999), Springer-Verlag, New York p. 77-180
-
(1999)
CRM series in mathematical physics
-
-
Conte, R.1
-
34
-
-
33344476528
-
The singular manifold method and exact periodic wave solutions to a restricted BLP dispersive long wave system
-
Peng Y.Z., and Krishnan E.V. The singular manifold method and exact periodic wave solutions to a restricted BLP dispersive long wave system. Rep Math Phys 56 (2005) 367-378
-
(2005)
Rep Math Phys
, vol.56
, pp. 367-378
-
-
Peng, Y.Z.1
Krishnan, E.V.2
-
37
-
-
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 (1974) 249-315
-
(1974)
Stud Appl Math
, vol.53
, pp. 249-315
-
-
Ablowitz, M.J.1
Kaup, D.J.2
Newell, A.C.3
Segur, H.4
-
38
-
-
35949040541
-
Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons
-
Hirota R. Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons. Phys Rev Lett 27 (1971) 1192-1194
-
(1971)
Phys Rev Lett
, vol.27
, pp. 1192-1194
-
-
Hirota, R.1
-
40
-
-
0000332692
-
On a quasilinear parabolic equation occurring in aerodynamics
-
Cole J.D. On a quasilinear parabolic equation occurring in aerodynamics. Quart Appl Math 9 (1951) 225-236
-
(1951)
Quart Appl Math
, vol.9
, pp. 225-236
-
-
Cole, J.D.1
-
41
-
-
0035813363
-
New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations
-
Fu Z.T., Liu S.K., Liu S.D., et al. New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations. Phys Lett A 290 1-2 (2001) 72-76
-
(2001)
Phys Lett A
, vol.290
, Issue.1-2
, pp. 72-76
-
-
Fu, Z.T.1
Liu, S.K.2
Liu, S.D.3
-
42
-
-
0035828886
-
Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations
-
Liu S.K., Fu Z.T., Liu S.D., et al. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys Lett A 289 1-2 (2001) 69-74
-
(2001)
Phys Lett A
, vol.289
, Issue.1-2
, pp. 69-74
-
-
Liu, S.K.1
Fu, Z.T.2
Liu, S.D.3
-
43
-
-
41649083940
-
An effective method for finding special solutions of nonlinear differential equations with variable coefficients
-
Qin M., and Fan G. An effective method for finding special solutions of nonlinear differential equations with variable coefficients. Phys Lett A 372 (2008) 3240-3242
-
(2008)
Phys Lett A
, vol.372
, pp. 3240-3242
-
-
Qin, M.1
Fan, G.2
-
44
-
-
42649120956
-
Exact travelling wave solutions for the Zakharov-Kuznetsov equation
-
Peng Z.Y. Exact travelling wave solutions for the Zakharov-Kuznetsov equation. Appl Math Comput 199 (2008) 397-405
-
(2008)
Appl Math Comput
, vol.199
, pp. 397-405
-
-
Peng, Z.Y.1
-
45
-
-
0348201928
-
Exact solutions of the fifth-order equation for describing waves on the water
-
Kudryashov N.A., and Sukharev M.B. Exact solutions of the fifth-order equation for describing waves on the water. J Appl Math Mech 65 5 (2001) 855-865
-
(2001)
J Appl Math Mech
, vol.65
, Issue.5
, pp. 855-865
-
-
Kudryashov, N.A.1
Sukharev, M.B.2
-
46
-
-
18544377979
-
Fuchs indices and the first integrals of nonlinear differential equations
-
Kudryashov N.A. Fuchs indices and the first integrals of nonlinear differential equations. Chaos Solitons Fract 26 2 (2005) 591-603
-
(2005)
Chaos Solitons Fract
, vol.26
, Issue.2
, pp. 591-603
-
-
Kudryashov, N.A.1
-
47
-
-
33947182950
-
Polygons of differential equations for finding exact solutions
-
Kudryashov N.A., and Demina M.V. Polygons of differential equations for finding exact solutions. Chaos Solitons Fract 33 (2007) 1480-1496
-
(2007)
Chaos Solitons Fract
, vol.33
, pp. 1480-1496
-
-
Kudryashov, N.A.1
Demina, M.V.2
-
48
-
-
45349108626
-
Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation
-
Kudryashov N.A. Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Regul Chaotic Dynam 13 3 (2008) 234-238
-
(2008)
Regul Chaotic Dynam
, vol.13
, Issue.3
, pp. 234-238
-
-
Kudryashov, N.A.1
-
49
-
-
45849149292
-
Traveling wave solutions for some time-delayed equations through factorizations
-
Fahmy E.S. Traveling wave solutions for some time-delayed equations through factorizations. Chaos Solitons Fract 38 (2008) 1209-1216
-
(2008)
Chaos Solitons Fract
, vol.38
, pp. 1209-1216
-
-
Fahmy, E.S.1
-
50
-
-
36249009075
-
New periodic waves solutions for the shallow water of the generalized Klein-Gordon equation
-
Elgarayhi A. New periodic waves solutions for the shallow water of the generalized Klein-Gordon equation. Commun Nonlinear Sci Numer Simul 13 (2008) 877-888
-
(2008)
Commun Nonlinear Sci Numer Simul
, vol.13
, pp. 877-888
-
-
Elgarayhi, A.1
-
51
-
-
33749515412
-
A unified trial function method in finding the explicit and exact solutions to three NPDs
-
Xie Y., and Tang J.S. A unified trial function method in finding the explicit and exact solutions to three NPDs. Phys Scripta 74 2 (2006) 197-200
-
(2006)
Phys Scripta
, vol.74
, Issue.2
, pp. 197-200
-
-
Xie, Y.1
Tang, J.S.2
-
52
-
-
33745644740
-
A unified method for solving sinh-Gordon type equations, Nuovo Cimento
-
Xie Y., and Tang J.S. A unified method for solving sinh-Gordon type equations, Nuovo Cimento. Pisica B 121 2 (2006) 115-120
-
(2006)
Pisica B
, vol.121
, Issue.2
, pp. 115-120
-
-
Xie, Y.1
Tang, J.S.2
|