-
1
-
-
36049057587
-
Method for Solving the Korteweg-de Vries Equation
-
Gardner, C.S., Greene, J.M., Kruskal, M.D., and Miura, R.M., Method for Solving the Korteweg-de Vries Equation, Phys. Rev. Lett., 1967, vol. 19, pp. 1095-1097.
-
(1967)
Phys. Rev. Lett.
, vol.19
, pp. 1095-1097
-
-
Gardner, C.S.1
Greene, J.M.2
Kruskal, M.D.3
Miura, R.M.4
-
2
-
-
0009372301
-
A Scheme for Integrating the Nonlinear Equations of Mathematical Physics by the Method of the Inverse Scattering Problem
-
[Funct. Anal. Appl., 1974, vol. 8, pp. 226-235]
-
Zakharov, V.E. and Shabat, A.B., A Scheme for Integrating the Nonlinear Equations of Mathematical Physics by the Method of the Inverse Scattering Problem, Funktsional. Anal. i Prilozhen., 1974, vol. 8, no. 3, pp. 43-53 [Funct. Anal. Appl., 1974, vol. 8, pp. 226-235].
-
(1974)
Funktsional. Anal. I Prilozhen.
, vol.8
, Issue.3
, pp. 43-53
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
3
-
-
0002439927
-
A Scheme for Integrating the Nonlinear Equations of Mathematical Physics by the Method of the Inverse Scattering Problem. II
-
[Funct. Anal. Appl., 1974, vol. 13, pp. 166-174]
-
Zakharov, V.E. and Shabat, A.B., A Scheme for Integrating the Nonlinear Equations of Mathematical Physics by the Method of the Inverse Scattering Problem. II, Funktsional. Anal. i Prilozhen., 1974, vol. 13, no. 3, pp. 13-22 [Funct. Anal. Appl., 1974, vol. 13, pp. 166-174].
-
(1974)
Funktsional. Anal. I Prilozhen.
, vol.13
, Issue.3
, pp. 13-22
-
-
Zakharov, V.E.1
Shabat, A.B.2
-
4
-
-
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., 1971, vol. 27, pp. 1192-1194.
-
(1971)
Phys. Rev. Lett.
, vol.27
, pp. 1192-1194
-
-
Hirota, R.1
-
6
-
-
18944400520
-
New Similarity Reductions of the Boussinesq Equation
-
Clarkson, P.A. and Kruskal, M.D., New Similarity Reductions of the Boussinesq Equation, J. Math. Phys., 1989, vol. 30, pp. 2201-2213.
-
(1989)
J. Math. Phys.
, vol.30
, pp. 2201-2213
-
-
Clarkson, P.A.1
Kruskal, M.D.2
-
7
-
-
63449123795
-
Seven Common Errors in Finding Exact Solutions of Nonlinear Differential Equations
-
Kudryashov, N.A., Seven Common Errors in Finding Exact Solutions of Nonlinear Differential Equations, Commun. Nonlinear Sci. Numer. Simul., 2009, vol. 14, pp. 3507-3529.
-
(2009)
Commun. Nonlinear Sci. Numer. Simul.
, vol.14
, pp. 3507-3529
-
-
Kudryashov, N.A.1
-
8
-
-
0000507179
-
Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium
-
Kuramoto, Y. and Tsuzuki, T., Persistent Propagation of Concentration Waves in Dissipative Media Far from Thermal Equilibrium, Progr. Theoret. Phys., 1976, vol. 55, no. 2, pp. 356-369.
-
(1976)
Progr. Theoret. Phys.
, vol.55
, Issue.2
, pp. 356-369
-
-
Kuramoto, Y.1
Tsuzuki, T.2
-
9
-
-
0020592802
-
Instabilities, Pattern Formation, and Turbulence in Flames
-
Sivashinsky, G.I., Instabilities, Pattern Formation, and Turbulence in Flames, Annu. Rev. Fluid Mech., 1983, vol. 15, pp. 179-199.
-
(1983)
Annu. Rev. Fluid Mech.
, vol.15
, pp. 179-199
-
-
Sivashinsky, G.I.1
-
11
-
-
0017930245
-
Approximate Equations for Long Nonlinear Waves on a Viscous Fluid
-
Topper, J. and Kawahara, T., Approximate Equations for Long Nonlinear Waves on a Viscous Fluid, J. Phys. Soc. Japan, 1978, vol. 44, no. 2, pp. 663-666.
-
(1978)
J. Phys. Soc. Japan
, vol.44
, Issue.2
, pp. 663-666
-
-
Topper, J.1
Kawahara, T.2
-
12
-
-
0012501764
-
Solitary Waves in a Layer of Viscous Liquid
-
Shkadov, V.Ya., Solitary Waves in a Layer of Viscous Liquid, Fluid Dyn., 1977, vol. 12, no. 1, pp. 52-55.
-
(1977)
Fluid Dyn.
, vol.12
, Issue.1
, pp. 52-55
-
-
Shkadov, V.Ya.1
-
13
-
-
0017269252
-
Non-linear Saturation of the Dissipative Trapped-ion Mode by Mode Coupling
-
Cohen, B.I., Tang, W.M., Krommes, J.A., and Rosenbluth, M.N., Non-linear Saturation of the Dissipative Trapped-ion Mode by Mode Coupling, Nuclear fusion, 1976, vol.16, pp. 971-992.
-
(1976)
Nuclear Fusion
, vol.16
, pp. 971-992
-
-
Cohen, B.I.1
Tang, W.M.2
Krommes, J.A.3
Rosenbluth, M.N.4
-
14
-
-
0006985101
-
Elementary Particles as Solutions of the Sivashinsky Equation
-
Michelson, D., Elementary Particles as Solutions of the Sivashinsky Equation, Phys. D, 1990, vol. 44, pp. 502-556.
-
(1990)
Phys. D
, vol.44
, pp. 502-556
-
-
Michelson, D.1
-
15
-
-
45349108715
-
Nonlinear Evolution Equations for Description of Perturbation in Tube
-
Kudryashov, N.A., Sinelschikov, D.I., and Chernyavsky, I.L., Nonlinear Evolution Equations for Description of Perturbation in Tube, Russian J. of Nonlin. Dyn., 2008, vol. 4, no. 1, pp. 69-86.
-
(2008)
Russian J. of Nonlin. Dyn.
, vol.4
, Issue.1
, pp. 69-86
-
-
Kudryashov, N.A.1
Sinelschikov, D.I.2
Chernyavsky, I.L.3
-
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., 1988, vol. 52, no. 3, pp. 361-365.
-
(1988)
J. Appl. Math. Mech.
, vol.52
, Issue.3
, pp. 361-365
-
-
Kudryashov, N.A.1
-
17
-
-
0000092898
-
Painlevé Analysis and Backlund Transformation in the Kuramoto-Sivashinsky Equation
-
Conte, R. and Musette, M., Painlevé Analysis and Backlund Transformation in the Kuramoto-Sivashinsky Equation, J. Phys. A, 1989, vol. 22, pp. 169-177.
-
(1989)
J. Phys. A
, vol.22
, pp. 169-177
-
-
Conte, R.1
Musette, M.2
-
18
-
-
0000607676
-
Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation
-
Kudryashov, N.A., Exact Solutions of the Generalized Kuramoto-Sivashinsky Equation, Phys. Lett. A., 1990, vol. 147, pp. 287-291.
-
(1990)
Phys. Lett. A.
, vol.147
, pp. 287-291
-
-
Kudryashov, N.A.1
-
19
-
-
30244439261
-
Exact Solutions of the Non-linear Wave Equations Arising in Mechanics
-
Kudryashov, N.A., Exact Solutions of the Non-linear Wave Equations Arising in Mechanics, J. Appl. Math. Mech., 1990, vol. 54, no. 3, pp. 372-375.
-
(1990)
J. Appl. Math. Mech.
, vol.54
, Issue.3
, pp. 372-375
-
-
Kudryashov, N.A.1
-
20
-
-
0001635608
-
On Types of Nonlinear Nonintegrable Equations with Exact Solutions
-
Kudryashov, N.A., On Types of Nonlinear Nonintegrable Equations with Exact Solutions, Phys Lett. A., 1991, vol. 155, pp. 269-275.
-
(1991)
Phys Lett. A.
, vol.155
, pp. 269-275
-
-
Kudryashov, N.A.1
-
21
-
-
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, 1996, vol. 29, pp. 8067-8077.
-
(1996)
J. Phys. A
, vol.29
, pp. 8067-8077
-
-
Kudryashov, N.A.1
Zargaryan, E.D.2
-
22
-
-
24644522505
-
Exact Solutions to the Two-dimensional Generalized Fifth Order Kuramoto-Sivashinsky-type Equation
-
Zhu, Z.N., Exact Solutions to the Two-dimensional Generalized Fifth Order Kuramoto-Sivashinsky-type Equation, Chinese J. Phys., 1996, vol. 34, no. 2, pp. 85-90.
-
(1996)
Chinese J. Phys.
, vol.34
, Issue.2
, pp. 85-90
-
-
Zhu, Z.N.1
-
23
-
-
0002071686
-
Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations
-
Berloff, N.G. and Howard, L.N., Solitary and Periodic Solutions of Nonlinear Nonintegrable Equations, Stud. Appl. Math., 1997, vol. 99, pp. 1-24.
-
(1997)
Stud. Appl. Math.
, vol.99
, pp. 1-24
-
-
Berloff, N.G.1
Howard, L.N.2
-
24
-
-
4243147194
-
New Exact Solutions to the KdV-Burgers-Kuramoto Equation
-
Fu, Z., Liu, S., and Liu, S., New Exact Solutions to the KdV-Burgers-Kuramoto Equation, Chaos Solitons Fractals, 2005, vol. 23, pp. 609-616.
-
(2005)
Chaos Solitons Fractals
, vol.23
, pp. 609-616
-
-
Fu, Z.1
Liu, S.2
Liu, S.3
-
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, Fractals, 2005, vol. 24, pp. 1217-1231.
-
(2005)
Chaos, Solitons, Fractals
, vol.24
, pp. 1217-1231
-
-
Kudryashov, N.A.1
-
26
-
-
33748193665
-
New Exact Solutions of the KdV-Burgers-Kuramoto Equation
-
Zhang, S., New Exact Solutions of the KdV-Burgers-Kuramoto Equation, Phys Lett. A., 2006, vol. 358, pp. 414-420.
-
(2006)
Phys Lett. A.
, vol.358
, pp. 414-420
-
-
Zhang, S.1
-
27
-
-
33748558806
-
Travelling Wave Solutions for Nonlinear Differential Equations: A Unified Ansätze Approach
-
Khuri, S.A., Travelling Wave Solutions for Nonlinear Differential Equations: A Unified Ansätze Approach, Chaos, Solitons, Fractals, 2007, vol. 32, pp. 252-258.
-
(2007)
Chaos, Solitons, Fractals
, vol.32
, pp. 252-258
-
-
Khuri, S.A.1
-
28
-
-
33947138673
-
Travelling Wave Solutions to the Kuramoto-Sivashinsky Equation
-
Nickel, J., Travelling Wave Solutions to the Kuramoto-Sivashinsky Equation, Chaos, Solitons, Fractals, 2007, vol. 33, pp. 1376-1382.
-
(2007)
Chaos, Solitons, Fractals
, vol.33
, pp. 1376-1382
-
-
Nickel, J.1
-
29
-
-
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, Fractals, 2007, vol. 33, pp. 1480-1496.
-
(2007)
Chaos, Solitons, Fractals
, vol.33
, pp. 1480-1496
-
-
Kudryashov, N.A.1
Demina, M.V.2
-
30
-
-
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, 2008, vol. 372, pp. 3240-3242.
-
(2008)
Phys. Lett. A
, vol.372
, pp. 3240-3242
-
-
Qin, M.1
Fan, G.2
-
31
-
-
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 Dyn., 2008, vol. 13, no. 3, pp. 234-238.
-
(2008)
Regul. Chaotic Dyn.
, vol.13
, Issue.3
, pp. 234-238
-
-
Kudryashov, N.A.1
-
32
-
-
33751530880
-
New Solitary Wave Solutions to the Kuramoto-Sivashinsky and the Kawahara Equations
-
Wazwaz, A.M., New Solitary Wave Solutions to the Kuramoto-Sivashinsky and the Kawahara Equations, Appl. Math. Comput., 2006, vol. 182, pp. 1642-1650.
-
(2006)
Appl. Math. Comput.
, vol.182
, pp. 1642-1650
-
-
Wazwaz, A.M.1
-
33
-
-
0037774603
-
New Multiple Soliton Solutions to the General Burgers-Fisher Equation and the Kuramoto-Sivashinsky Equation
-
Chen, H. and Zhang, H., New Multiple Soliton Solutions to the General Burgers-Fisher Equation and the Kuramoto-Sivashinsky Equation, Chaos, Solitons, Fractals, 2004, vol. 19, pp. 71-76.
-
(2004)
Chaos, Solitons, Fractals
, vol.19
, pp. 71-76
-
-
Chen, H.1
Zhang, H.2
-
34
-
-
58349105753
-
A Modified Tanh-coth Method for Solving the General Burgers-Fisher and the Kuramoto-Sivashinsky Equations
-
Wazzan, L., A Modified Tanh-coth Method for Solving the General Burgers-Fisher and the Kuramoto-Sivashinsky Equations, Commun. Nonlinear Sci. Numer. Simul., 2009, vol. 14, pp. 2642-2652.
-
(2009)
Commun. Nonlinear Sci. Numer. Simul.
, vol.14
, pp. 2642-2652
-
-
Wazzan, L.1
-
35
-
-
36749112076
-
The Painlevé property for partial differential equations
-
Weiss, J., Tabor, M., and Carnevale, G., The Painlevé property for partial differential equations, J. Math. Phys., 1983, vol. 24, pp. 522-526.
-
(1983)
J. Math. Phys.
, vol.24
, pp. 522-526
-
-
Weiss, J.1
Tabor, M.2
Carnevale, G.3
-
36
-
-
57549111746
-
Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation
-
arxiv.org/abs/nlin.SI/0504053
-
Eremenko, A.E., Meromorphic Traveling Wave Solutions of the Kuramoto-Sivashinsky Equation, Journal of mathematical physics, analysis, geometry, 2006, vol. 2, pp. 278-286, arxiv.org/abs/nlin.SI/ 0504053.
-
(2006)
Journal of Mathematical Physics, Analysis, Geometry
, vol.2
, pp. 278-286
-
-
Eremenko, A.E.1
-
37
-
-
37549033511
-
The (G'/G) -expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations in Mathematical Physics
-
Wang, M., Li, X., and Zhang, J., The (G'/G) -expansion Method and Travelling Wave Solutions of Nonlinear Evolution Equations in Mathematical Physics, Phys. Lett. A, 2008, vol. 372, pp. 417-423.
-
(2008)
Phys. Lett. A
, vol.372
, pp. 417-423
-
-
Wang, M.1
Li, X.2
Zhang, J.3
-
38
-
-
33745177020
-
Exp-function Method for Nonlinear Wave Equations
-
He, J.-H. and Wu, X.-H., Exp-function Method for Nonlinear Wave Equations, Chaos Solitons Fractals, 2006, vol. 30, pp. 700-708.
-
(2006)
Chaos Solitons Fractals
, vol.30
, pp. 700-708
-
-
He, J.-H.1
Wu, X.-H.2
-
39
-
-
56049095964
-
Be Careful with the Exp-function Method
-
Kudryashov, N.A. and Loguinova, N.B., Be Careful with the Exp-function Method, Commun. Nonlinear Sci. Numer. Simul., 2009, vol. 14, pp. 1881-1890.
-
(2009)
Commun. Nonlinear Sci. Numer. Simul.
, vol.14
, pp. 1881-1890
-
-
Kudryashov, N.A.1
Loguinova, N.B.2
-
40
-
-
0001229736
-
Solitary Wave Solutions of Nonlinear Wave Equations
-
Malfliet, W., Solitary Wave Solutions of Nonlinear Wave Equations, Amer. J. Phys., 1992, vol. 60, pp. 650-654.
-
(1992)
Amer. J. Phys.
, vol.60
, pp. 650-654
-
-
Malfliet, W.1
|