-
1
-
-
47749154810
-
A modified tanh-coth method for solving the KdV and the KdV-Burgers equations
-
Wazzan L. A modified tanh-coth method for solving the KdV and the KdV-Burgers equations. Commun Nonlinear Sci Numer Simulat 14 (2009) 443-450
-
(2009)
Commun Nonlinear Sci Numer Simulat
, vol.14
, pp. 443-450
-
-
Wazzan, L.1
-
2
-
-
0001524186
-
On the change of form of long waves advancing in a rectangular canal and on a new tip of long stationary waves
-
Korteweg D.J., and de Vries G. On the change of form of long waves advancing in a rectangular canal and on a new tip of long stationary waves. Phil Mag 39 (1895) 422-443
-
(1895)
Phil Mag
, vol.39
, pp. 422-443
-
-
Korteweg, D.J.1
de Vries, G.2
-
5
-
-
84981754671
-
Integrals of nonlinear equations of evolution and solitary waves
-
Lax P.D. Integrals of nonlinear equations of evolution and solitary waves. Commun Pure Appl Math 21 (1968) 467-490
-
(1968)
Commun Pure Appl Math
, vol.21
, pp. 467-490
-
-
Lax, P.D.1
-
6
-
-
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
-
7
-
-
33846361348
-
Interaction of solitons in a collisionless plasma and the recurrence of initial states
-
Zabuski N.J., and Kruskal M.D. Interaction of solitons in a collisionless plasma and the recurrence of initial states. Phys Rev Lett 15 (1965) 240-242
-
(1965)
Phys Rev Lett
, vol.15
, pp. 240-242
-
-
Zabuski, N.J.1
Kruskal, M.D.2
-
8
-
-
35949040541
-
Exact solution of the Korteweg-de Vries for multiple collins of solutions
-
Hirota R. Exact solution of the Korteweg-de Vries for multiple collins of solutions. Phys Rev Lett 27 (1971) 1192-1194
-
(1971)
Phys Rev Lett
, vol.27
, pp. 1192-1194
-
-
Hirota, R.1
-
9
-
-
84911743709
-
Rational and elliptic solutions of the KdV equation and related many-body problems
-
Airault H., McKean H.P., and Moser J. Rational and elliptic solutions of the KdV equation and related many-body problems. Commun Pure Appl Math 30 (1977) 95-198
-
(1977)
Commun Pure Appl Math
, vol.30
, pp. 95-198
-
-
Airault, H.1
McKean, H.P.2
Moser, J.3
-
11
-
-
85196190847
-
-
Kudryashov NA. Analytical theory of nonlinear differential equations, Moskow - Igevsk. Inst Comput Investigat; 2004 [in Russian].
-
Kudryashov NA. Analytical theory of nonlinear differential equations, Moskow - Igevsk. Inst Comput Investigat; 2004 [in Russian].
-
-
-
-
12
-
-
18944400520
-
New similarity reductions of the Boussnesq equation
-
Clarkson P.A., and Kruskal M.D. New similarity reductions of the Boussnesq equation. J Math Phys 30 (1989) 2201-2213
-
(1989)
J Math Phys
, vol.30
, pp. 2201-2213
-
-
Clarkson, P.A.1
Kruskal, M.D.2
-
13
-
-
34548631824
-
New application of the Exp-function method for improved Boussinesq equation
-
Abdou M.A., Soliman A.A., and El-Basyony S.T. New application of the Exp-function method 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
-
14
-
-
37249080286
-
Application of Exp-function method to symmetric regularized long wave (SRLW) equation
-
Xu F. Application of Exp-function method to symmetric regularized long wave (SRLW) equation. Phys Lett A 372 (2008) 252-257
-
(2008)
Phys Lett A
, vol.372
, pp. 252-257
-
-
Xu, F.1
-
15
-
-
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
-
16
-
-
40549140406
-
Exp-function method for Klein-Gordon equation with quadratic nonlinearity
-
Zhang S. Exp-function method for Klein-Gordon equation with quadratic nonlinearity. J Phys: Conf Ser 96 (2008) 1-6
-
(2008)
J Phys: Conf Ser
, vol.96
, pp. 1-6
-
-
Zhang, S.1
-
19
-
-
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 and Fractals 24 (2005) 1217-1231
-
(2005)
Chaos, Solitons and Fractals
, vol.24
, pp. 1217-1231
-
-
Kudryashov, N.A.1
-
20
-
-
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
-
21
-
-
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 and Fractals 33 (2007) 1480-1496
-
(2007)
Chaos, Solitons and Fractals
, vol.33
, pp. 1480-1496
-
-
Kudryashov, N.A.1
Demina, M.V.2
-
22
-
-
45349108626
-
Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation
-
Kudryashov N.A. Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation. Reg Chaotic Dyn 13 3 (2008) 234-238
-
(2008)
Reg Chaotic Dyn
, vol.13
, Issue.3
, pp. 234-238
-
-
Kudryashov, N.A.1
-
24
-
-
0002722044
-
Investigation of the diffusion equation connected with growth of matter and its application to one biological problem
-
Kolmogorov A.N., Petrovskii I.G., and Piskunov N.S. Investigation of the diffusion equation connected with growth of matter and its application to one biological problem. Bull Moscow State Univ A 6 (1937) 1-26
-
(1937)
Bull Moscow State Univ A
, vol.6
, pp. 1-26
-
-
Kolmogorov, A.N.1
Petrovskii, I.G.2
Piskunov, N.S.3
-
25
-
-
0000268135
-
The wave of advance of advantageous genes
-
Fisher R.A. The wave of advance of advantageous genes. Ann Eugen 7 (1937) 335-369
-
(1937)
Ann Eugen
, vol.7
, pp. 335-369
-
-
Fisher, R.A.1
-
26
-
-
0018569774
-
Explicit solutions of Fisher's equation for a special wave speed
-
Ablowitz M.J., and Zeppetella A. Explicit solutions of Fisher's equation for a special wave speed. Bull Math Biol 41 (1979) 835-840
-
(1979)
Bull Math Biol
, vol.41
, pp. 835-840
-
-
Ablowitz, M.J.1
Zeppetella, A.2
-
27
-
-
42749088097
-
A novel approach for solving the Fisher equation using Exp-function method
-
Öziş T., and Köroǧlu C. A novel approach for solving the Fisher equation using Exp-function method. Phys Lett A 372 (2008) 3836-3840
-
(2008)
Phys Lett A
, vol.372
, pp. 3836-3840
-
-
Öziş, T.1
Köroǧlu, C.2
-
28
-
-
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
-
29
-
-
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
-
30
-
-
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
-
32
-
-
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
-
33
-
-
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
-
34
-
-
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
-
35
-
-
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
-
36
-
-
85196168052
-
-
Polyanin AD, Zaitsev VF, Zhyrov AI. Methods of nonlinear equations of mathematical physics and mechanics. Fizmatlit, Moscow; 2005. p. 260.
-
Polyanin AD, Zaitsev VF, Zhyrov AI. Methods of nonlinear equations of mathematical physics and mechanics. Fizmatlit, Moscow; 2005. p. 260.
-
-
-
-
37
-
-
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
-
38
-
-
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
-
39
-
-
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. Phys Scripta 54 (1996) 563-568
-
(1996)
Phys Scripta
, vol.54
, pp. 563-568
-
-
Malfliet, W.1
Hereman, W.2
-
40
-
-
0030284901
-
An automated tanh-function method for finding solitary wave solutions to nonlinear evolution equations
-
Parkes E.J., and Duffy B.R. An automated tanh-function method for finding solitary wave solutions to nonlinear 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
-
41
-
-
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
-
42
-
-
0001073369
-
Exact solutions to the KdV-Burgers equations
-
Jeffrey A., and Xu S. Exact solutions to the KdV-Burgers equations. Wave Motion 11 (1989) 559-564
-
(1989)
Wave Motion
, vol.11
, pp. 559-564
-
-
Jeffrey, A.1
Xu, S.2
-
43
-
-
0001307413
-
Exact solutions to the KdV-Burgers equations
-
Jeffrey A., and Mohamad M.N.B. Exact solutions to the KdV-Burgers equations. Wave Motion 11 (1991) 369-375
-
(1991)
Wave Motion
, vol.11
, pp. 369-375
-
-
Jeffrey, A.1
Mohamad, M.N.B.2
-
44
-
-
0141673112
-
A note on the exact travelling wave solution to the KdV-Burgers equation
-
Demiray H. A note on the exact travelling wave solution to the KdV-Burgers equation. Wave Motion 11 (2003) 367-369
-
(2003)
Wave Motion
, vol.11
, pp. 367-369
-
-
Demiray, H.1
-
45
-
-
1842426172
-
An application for the decomposition method for the KdV-Burgers equation
-
Kaya D. An application for the decomposition method for the KdV-Burgers equation. Appl Math Comput 152 (2004) 279-288
-
(2004)
Appl Math Comput
, vol.152
, pp. 279-288
-
-
Kaya, D.1
-
46
-
-
21244460290
-
New solitary wave solutions to the KdV-Burgers equation
-
Xie Y.X., and Tang J.S. New solitary wave solutions to the KdV-Burgers equation. Int J Theor Phys 44 3 (2005) 293-301
-
(2005)
Int J Theor Phys
, vol.44
, Issue.3
, pp. 293-301
-
-
Xie, Y.X.1
Tang, J.S.2
-
47
-
-
33751528986
-
Travelling-wave solutions for KdV-Burgers equation through factorization
-
Comejo-Perez O., Negro J., Nieto L.M., and Rosu H.C. Travelling-wave solutions for KdV-Burgers equation through factorization. Foundat Phys 36 (2006) 1587-1599
-
(2006)
Foundat Phys
, vol.36
, pp. 1587-1599
-
-
Comejo-Perez, O.1
Negro, J.2
Nieto, L.M.3
Rosu, H.C.4
-
48
-
-
67349205096
-
Chaos, solitons and fractals, exact solutions of the KdV-Burgers equation by Exp-function method
-
10.1016/J.chaos. 2008.04.038
-
Soliman A.A. Chaos, solitons and fractals, exact solutions of the KdV-Burgers equation by Exp-function method. Chaos, Solitons and Fractals (2008) 10.1016/J.chaos. 2008.04.038
-
(2008)
Chaos, Solitons and Fractals
-
-
Soliman, A.A.1
-
49
-
-
45249116980
-
New solitary wave and periodic wave solutions for general types of KdV and KdV-Burgers equations
-
Lu D., Hong B., and Tian L. New solitary wave and periodic wave solutions for general types of KdV and KdV-Burgers equations. Commun Nonlinear Sci Numer Simulat 14 (2009) 77-84
-
(2009)
Commun Nonlinear Sci Numer Simulat
, vol.14
, pp. 77-84
-
-
Lu, D.1
Hong, B.2
Tian, L.3
|