-
1
-
-
53349102813
-
Impulse and physiological states in models of nerve membrane
-
R. Fitzhugh Impulse and physiological states in models of nerve membrane Biophys. J. 1 1961 445
-
(1961)
Biophys. J.
, vol.1
, pp. 445
-
-
Fitzhugh, R.1
-
2
-
-
6344238035
-
An active pulse transmission line simulating nerve axon
-
J.S. Nagumo, S. Arimoto, and S. Yoshizawa An active pulse transmission line simulating nerve axon Proc. IRE 50 1962 2061
-
(1962)
Proc. IRE
, vol.50
, pp. 2061
-
-
Nagumo, J.S.1
Arimoto, S.2
Yoshizawa, S.3
-
3
-
-
17044384563
-
Approximate conditional symmetries and approximate solutions of the perturbed Fitzhugh-Nagumo equation
-
M. Shih, E. Momoniat, and F.M. Mahomed Approximate conditional symmetries and approximate solutions of the perturbed Fitzhugh-Nagumo equation J. Math. Phys. 46 2005 023503
-
(2005)
J. Math. Phys.
, vol.46
, pp. 023503
-
-
Shih, M.1
Momoniat, E.2
Mahomed, F.M.3
-
4
-
-
50249115553
-
Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method
-
S. Abbasbandy Soliton solutions for the Fitzhugh-Nagumo equation with the homotopy analysis method Appl. Math. Model. 32 2008 2706
-
(2008)
Appl. Math. Model.
, vol.32
, pp. 2706
-
-
Abbasbandy, S.1
-
5
-
-
80053386149
-
Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function H (x) in the homotopy analysis method
-
R.A. Van Gorder Gaussian waves in the Fitzhugh-Nagumo equation demonstrate one role of the auxiliary function H (x) in the homotopy analysis method Commun. Nonlinear Sci. Numer. Simul. 17 2012 1233
-
(2012)
Commun. Nonlinear Sci. Numer. Simul.
, vol.17
, pp. 1233
-
-
Van Gorder, R.A.1
-
7
-
-
0017357730
-
On the diffusion of biological populations
-
M.E. Gurtin, and R.C. MacCamy On the diffusion of biological populations Math. Biosci. 33 1977 35
-
(1977)
Math. Biosci.
, vol.33
, pp. 35
-
-
Gurtin, M.E.1
MacCamy, R.C.2
-
8
-
-
33645068026
-
Travelling wave solutions for some density dependent diffusion equations
-
Y. Hosono Travelling wave solutions for some density dependent diffusion equations Jpn. J. Appl. Math. 3 1986 163
-
(1986)
Jpn. J. Appl. Math.
, vol.3
, pp. 163
-
-
Hosono, Y.1
-
9
-
-
0003475470
-
-
Springer Berlin, Heidelberg, New York
-
J.D. Murray Mathematical Biology 1989 Springer Berlin, Heidelberg, New York
-
(1989)
Mathematical Biology
-
-
Murray, J.D.1
-
10
-
-
46749118324
-
Analytical and numerical solutions of the density dependent diffusion Nagumo equation
-
R.A. Van Gorder, and K. Vajravelu Analytical and numerical solutions of the density dependent diffusion Nagumo equation Phys. Lett. A 372 2008 5152
-
(2008)
Phys. Lett. A
, vol.372
, pp. 5152
-
-
Van Gorder, R.A.1
Vajravelu, K.2
-
11
-
-
77955769869
-
A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation
-
R.A. Van Gorder, and K. Vajravelu A variational formulation of the Nagumo reaction-diffusion equation and the Nagumo telegraph equation Nonlinear Anal. Ser. B: Real World Appl. 11 2010 2957
-
(2010)
Nonlinear Anal. Ser. B: Real World Appl.
, vol.11
, pp. 2957
-
-
Van Gorder, R.A.1
Vajravelu, K.2
-
12
-
-
77955499980
-
Analytical and numerical solutions for a density dependent Nagumo telegraph equation
-
R.A. Van Gorder, and K. Vajravelu Analytical and numerical solutions for a density dependent Nagumo telegraph equation Nonlinear Anal. Ser. B: Real World Appl. 11 2010 3923
-
(2010)
Nonlinear Anal. Ser. B: Real World Appl.
, vol.11
, pp. 3923
-
-
Van Gorder, R.A.1
Vajravelu, K.2
-
13
-
-
0042175903
-
Painlevé analysis and partial integrability of a class of reaction-diffusion equations
-
S.R. Choudhury Painlevé analysis and partial integrability of a class of reaction-diffusion equations Nonlinear Anal.: Theory Methods Appl. 18 1992 445
-
(1992)
Nonlinear Anal.: Theory Methods Appl.
, vol.18
, pp. 445
-
-
Choudhury, S.R.1
-
14
-
-
0010251877
-
Exact soliton solutions of the generalized evolution equation of wave dynamics
-
N.A. Kudryashov Exact soliton solutions of the generalized evolution equation of wave dynamics PMM J. Appl. Math. Mech. 52 1988 361 365
-
(1988)
PMM J. Appl. Math. Mech.
, vol.52
, pp. 361-365
-
-
Kudryashov, N.A.1
-
15
-
-
0000607676
-
Exact solutions of the generalized Kuramoto-Sivashinsky equation
-
N.A. Kudryashov 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
-
16
-
-
38249009217
-
Partial differential equations with solutions having movable first order singularities
-
N.A. Kudryashov 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
-
17
-
-
8744316856
-
Exact solutions of the Burgers-Huxley equation
-
N.A. Kudryashov Exact solutions of the Burgers-Huxley equation PMM J. Appl. Math. Mech. 68 2004 413 420
-
(2004)
PMM J. Appl. Math. Mech.
, vol.68
, pp. 413-420
-
-
Kudryashov, N.A.1
-
18
-
-
20444493250
-
Exact solitary waves of the Fisher equation
-
N.A. Kudryashov Exact solitary waves of the Fisher equation Phys. Lett. A 342 2005 99 106
-
(2005)
Phys. Lett. A
, vol.342
, pp. 99-106
-
-
Kudryashov, N.A.1
-
19
-
-
33751530880
-
New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations
-
A.M. Wazwaz New solitary wave solutions to the Kuramoto-Sivashinsky and the Kawahara equations Appl. Math. Comput. 182 2006 1642 1650
-
(2006)
Appl. Math. Comput.
, vol.182
, pp. 1642-1650
-
-
Wazwaz, A.M.1
-
20
-
-
77953620467
-
Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation
-
X.N. Li, G.M. Wei, and Y.Q. Liang Painlevé analysis and new analytic solutions for variable-coefficient Kadomtsev-Petviashvili equation with symbolic computation Appl. Math. Comput. 216 2010 3568 3577
-
(2010)
Appl. Math. Comput.
, vol.216
, pp. 3568-3577
-
-
Li, X.N.1
Wei, G.M.2
Liang, Y.Q.3
-
21
-
-
62949176122
-
Traveling wave solutions of the generalized nonlinear evolution equations
-
N.A. Kudryashov, and M.V. Demina Traveling wave solutions of the generalized nonlinear evolution equations Appl. Math. Comput. 210 2009 551 557
-
(2009)
Appl. Math. Comput.
, vol.210
, pp. 551-557
-
-
Kudryashov, N.A.1
Demina, M.V.2
-
22
-
-
77949905640
-
Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation
-
D.S. Wang Integrability of a coupled KdV system: Painlevé property, Lax pair and Bäcklund transformation Appl. Math. Comput. 216 2010 1349 1354
-
(2010)
Appl. Math. Comput.
, vol.216
, pp. 1349-1354
-
-
Wang, D.S.1
-
23
-
-
70349861750
-
Exact travelling wave solutions of the generalized Bretherton equation
-
F.J. Romeiras Exact travelling wave solutions of the generalized Bretherton equation Appl. Math. Comput. 215 2009 1791 1805
-
(2009)
Appl. Math. Comput.
, vol.215
, pp. 1791-1805
-
-
Romeiras, F.J.1
-
24
-
-
79952441039
-
Benjamin-Bona-Mahony (BBM) equation with Variable coefficients: Similarity reductions and Painlevé analysis
-
K. Singh, R.K. Gupta, and S. Kumar Benjamin-Bona-Mahony (BBM) equation with Variable coefficients: similarity reductions and Painlevé analysis Appl. Math. Comput. 217 2011 7021 7027
-
(2011)
Appl. Math. Comput.
, vol.217
, pp. 7021-7027
-
-
Singh, K.1
Gupta, R.K.2
Kumar, S.3
-
25
-
-
79958106515
-
On elliptic solutions of nonlinear ordinary differential equations
-
M.V. Demina, and N.A. Kudryashov On elliptic solutions of nonlinear ordinary differential equations Appl. Math. Comput. 217 2011 9849 9853
-
(2011)
Appl. Math. Comput.
, vol.217
, pp. 9849-9853
-
-
Demina, M.V.1
Kudryashov, N.A.2
-
26
-
-
77957254399
-
Bäcklund transformation and multi-soliton solutions for a (2 + 1)-dimensional Korteweg-de Vries system via symbolic computation
-
T. Geng, X.H. Meng, W.R. Shan, and B. Tian Bäcklund transformation and multi-soliton solutions for a (2 + 1)-dimensional Korteweg-de Vries system via symbolic computation Appl. Math. Comput. 217 2010 1470 1475
-
(2010)
Appl. Math. Comput.
, vol.217
, pp. 1470-1475
-
-
Geng, T.1
Meng, X.H.2
Shan, W.R.3
Tian, B.4
-
27
-
-
84868490375
-
An application of the Weiss algorithm of Painleve analysis to create solutions of the reaction diffusion equation. The 10th International Conference in Modern Group Analysis
-
N.H. Ibragimov, C. Sophocleous, P.A. Damianou (Eds.)
-
R.J. Wiltshire, C. Sophocleous, An application of the Weiss algorithm of Painleve analysis to create solutions of the reaction diffusion equation. The 10th International Conference in Modern Group Analysis, in: N.H. Ibragimov, C. Sophocleous, P.A. Damianou (Eds.), Group Analysis of Differential Equations, 2005.
-
(2005)
Group Analysis of Differential Equations
-
-
Wiltshire, R.J.1
Sophocleous, C.2
-
28
-
-
84868499120
-
Periodic and quasiperiodic wavetrains from double-Hopf bifurcations in reaction-diffusion systems
-
T. Smith, and S. Roy Choudhury Periodic and quasiperiodic wavetrains from double-Hopf bifurcations in reaction-diffusion systems Far East J. Dynam. Sys. 18 2012 141 162
-
(2012)
Far East J. Dynam. Sys.
, vol.18
, pp. 141-162
-
-
Smith, T.1
Roy Choudhury, S.2
-
29
-
-
78650104546
-
Shil'nikov analysis of homoclinic and heteroclinic orbits of the T system
-
R.A. Van Gorder, and S.R. Choudhury Shil'nikov analysis of homoclinic and heteroclinic orbits of the T system ASME J. Comput. Nonlinear Dynam. 6 2011 021013
-
(2011)
ASME J. Comput. Nonlinear Dynam.
, vol.6
, pp. 021013
-
-
Van Gorder, R.A.1
Choudhury, S.R.2
-
30
-
-
0001105688
-
The Painlevé property and singularity analysis of integrable and nonintegrable systems
-
J. Weiss, M. Tabor, and G. Carnevale The Painlevé property and singularity analysis of integrable and nonintegrable systems J. Math. Phys. 24 1983 522
-
(1983)
J. Math. Phys.
, vol.24
, pp. 522
-
-
Weiss, J.1
Tabor, M.2
Carnevale, G.3
-
31
-
-
36749110322
-
The Painlevé property for partial differential equations II: Bäcklund transformations, Lax pairs, and the Schwarzian derivative
-
J. Weiss The Painlevé property for partial differential equations II: Bäcklund transformations, Lax pairs, and the Schwarzian derivative J. Math. Phys. 24 1983 1405
-
(1983)
J. Math. Phys.
, vol.24
, pp. 1405
-
-
Weiss, J.1
-
32
-
-
0000550412
-
On classes of integrable systems and the Painlevé property
-
J. Weiss On classes of integrable systems and the Painlevé property J. Math. Phys. 25 1984 13
-
(1984)
J. Math. Phys.
, vol.25
, pp. 13
-
-
Weiss, J.1
|