-
1
-
-
4544353887
-
Complexion solutions of the Toda lattice equation
-
Ma W.X., Maruno K. Complexion solutions of the Toda lattice equation. Physica A 2004, 343:219.
-
(2004)
Physica A
, vol.343
, pp. 219
-
-
Ma, W.X.1
Maruno, K.2
-
3
-
-
0037411678
-
A B äcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation
-
Vakhnenko V.O., Parkes E.J., Morrison A.J. A B äcklund transformation and the inverse scattering transform method for the generalised Vakhnenko equation. Chaos Solitons Fract 2003, 17(4):683.
-
(2003)
Chaos Solitons Fract
, vol.17
, Issue.4
, pp. 683
-
-
Vakhnenko, V.O.1
Parkes, E.J.2
Morrison, A.J.3
-
4
-
-
0002961857
-
Direct method of finding exact solutions of nonlinear evolution equations
-
Springer, Berlin, R. Bullough, P. Caudrey (Eds.)
-
Hirota R. Direct method of finding exact solutions of nonlinear evolution equations. Backlund Transformations 1980, 1157. Springer, Berlin. R. Bullough, P. Caudrey (Eds.).
-
(1980)
Backlund Transformations
, pp. 1157
-
-
Hirota, R.1
-
5
-
-
44649165713
-
The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves
-
Wazwaz A.M. The Hirota's direct method for multiple-soliton solutions for three model equations of shallow water waves. Appl Math Comput 2008, 201(1-2):489.
-
(2008)
Appl Math Comput
, vol.201
, Issue.1-2
, pp. 489
-
-
Wazwaz, A.M.1
-
6
-
-
34249786250
-
Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method
-
Wazwaz A.M. Multiple-soliton solutions for the KP equation by Hirota's bilinear method and by the tanh-coth method. Appl Math Comput 2007, 190(1):633.
-
(2007)
Appl Math Comput
, vol.190
, Issue.1
, pp. 633
-
-
Wazwaz, A.M.1
-
7
-
-
67349150770
-
A Lie symmetry approach to nonlinear Schrödinger's equation with non-Kerr law nonlinearity
-
Khalique C.M., Biswas A. A Lie symmetry approach to nonlinear Schrödinger's equation with non-Kerr law nonlinearity. Commun Nonlinear Sci Numer Simul 2009, 14(12):4033.
-
(2009)
Commun Nonlinear Sci Numer Simul
, vol.14
, Issue.12
, pp. 4033
-
-
Khalique, C.M.1
Biswas, A.2
-
8
-
-
77955917817
-
Analysis of non-linear Klein-Gordon equations using Lie symmetry
-
Khalique C.M., Biswas A. Analysis of non-linear Klein-Gordon equations using Lie symmetry. Appl Math Lett 2010, 23(11):1397.
-
(2010)
Appl Math Lett
, vol.23
, Issue.11
, pp. 1397
-
-
Khalique, C.M.1
Biswas, A.2
-
9
-
-
0004483962
-
The tanh method. I: exact solutions of nonlinear evolution and wave equations
-
Malfliet W., Hereman W. The tanh method. I: exact solutions of nonlinear evolution and wave equations. Phys Scr 1996, 54:563.
-
(1996)
Phys Scr
, vol.54
, pp. 563
-
-
Malfliet, W.1
Hereman, W.2
-
10
-
-
3042750187
-
The tanh method for travelling wave solutions of nonlinear equations
-
Wazwaz A.M. The tanh method for travelling wave solutions of nonlinear equations. Appl Math Comput 2004, 154(3):713.
-
(2004)
Appl Math Comput
, vol.154
, Issue.3
, pp. 713
-
-
Wazwaz, A.M.1
-
11
-
-
67649213967
-
Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation
-
Triki H., Wazwaz A.M. Sub-ODE method and soliton solutions for the variable-coefficient mKdV equation. Appl Math Comput 2009, 214(2):370.
-
(2009)
Appl Math Comput
, vol.214
, Issue.2
, pp. 370
-
-
Triki, H.1
Wazwaz, A.M.2
-
12
-
-
0034606149
-
Extended tanh-function method and its applications to nonlinear equations
-
Fan E. Extended tanh-function method and its applications to nonlinear equations. Phys Lett A 2000, 277:212.
-
(2000)
Phys Lett A
, vol.277
, pp. 212
-
-
Fan, E.1
-
13
-
-
34247279667
-
The extended tanh method for abundant solitary wave solutions of nonlinear wave equations
-
Wazwaz A.M. The extended tanh method for abundant solitary wave solutions of nonlinear wave equations. Appl Math Comput 2007, 187:1131.
-
(2007)
Appl Math Comput
, vol.187
, pp. 1131
-
-
Wazwaz, A.M.1
-
14
-
-
12944300203
-
A sine-cosine method for handling nonlinear wave equations
-
Wazwaz A.M. A sine-cosine method for handling nonlinear wave equations. Math Comput Model 2004, 40:499.
-
(2004)
Math Comput Model
, vol.40
, pp. 499
-
-
Wazwaz, A.M.1
-
15
-
-
43249113201
-
New solitons and periodic wave solutions for some nonlinear physical models by using sine-cosine method
-
Bekir A. New solitons and periodic wave solutions for some nonlinear physical models by using sine-cosine method. Phys Scr 2008, 77(4):501.
-
(2008)
Phys Scr
, vol.77
, Issue.4
, pp. 501
-
-
Bekir, A.1
-
16
-
-
4344673183
-
A note on the homogeneous balance method
-
Fan E., Zhang H. A note on the homogeneous balance method. Phys Lett A 1998, 246:403.
-
(1998)
Phys Lett A
, vol.246
, pp. 403
-
-
Fan, E.1
Zhang, H.2
-
17
-
-
77957267867
-
The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation
-
Abdel Rady A.S., Osman E.S., Khalfallah M. The homogeneous balance method and its application to the Benjamin-Bona-Mahoney (BBM) equation. Appl Math Comput 2010, 217(4):1385.
-
(2010)
Appl Math Comput
, vol.217
, Issue.4
, pp. 1385
-
-
Abdel Rady, A.S.1
Osman, E.S.2
Khalfallah, M.3
-
18
-
-
33745177020
-
Exp-function method for nonlinear wave equations
-
He J.H., Wu X.H. Exp-function method for nonlinear wave equations. Chaos Solitons Fract 2006, 30:700.
-
(2006)
Chaos Solitons Fract
, vol.30
, pp. 700
-
-
He, J.H.1
Wu, X.H.2
-
19
-
-
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 2007, 365:448.
-
(2007)
Phys Lett A
, vol.365
, pp. 448
-
-
Zhang, S.1
-
20
-
-
77955450682
-
Discrete Jacobi sub-equation method for nonlinear differential-difference equations
-
Wang Z., Ma W.X. Discrete Jacobi sub-equation method for nonlinear differential-difference equations. Math Methods Appl Sci 2010, 33(12):1463.
-
(2010)
Math Methods Appl Sci
, vol.33
, Issue.12
, pp. 1463
-
-
Wang, Z.1
Ma, W.X.2
-
21
-
-
0042884163
-
The first integral method to study the Burgers-KdV equation
-
Feng Z.S. The first integral method to study the Burgers-KdV equation. J Phys A Math Gen 2002, 35:343.
-
(2002)
J Phys A Math Gen
, vol.35
, pp. 343
-
-
Feng, Z.S.1
-
22
-
-
56049122049
-
New solutions for some important partial differential equations
-
Ahmed Ali A.H., Raslan K.R. New solutions for some important partial differential equations. Int J Nonlinear Sci 2007, 4:109.
-
(2007)
Int J Nonlinear Sci
, vol.4
, pp. 109
-
-
Ahmed Ali, A.H.1
Raslan, K.R.2
-
23
-
-
4444343860
-
Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations
-
Baldwin D., Goktas U., Hereman W. Symbolic computation of hyperbolic tangent solutions for nonlinear differential-difference equations. Comput Phys Commun 2004, 162:203.
-
(2004)
Comput Phys Commun
, vol.162
, pp. 203
-
-
Baldwin, D.1
Goktas, U.2
Hereman, W.3
-
24
-
-
51349083284
-
Periodic solutions for a class of nonlinear differential-difference equations
-
Liu S.K., Fu Z.T., Wang Z.G., Liu S.D. Periodic solutions for a class of nonlinear differential-difference equations. Commun Theor Phys 2008, 49:1155.
-
(2008)
Commun Theor Phys
, vol.49
, pp. 1155
-
-
Liu, S.K.1
Fu, Z.T.2
Wang, Z.G.3
Liu, S.D.4
-
25
-
-
17044440223
-
Symbolic computation of extended Jacobian elliptic function algorithm for nonlinear differential-difference equations
-
Dai C.Q., Meng J.P., Zhang J.F. Symbolic computation of extended Jacobian elliptic function algorithm for nonlinear differential-difference equations. Commun Theor Phys 2005, 43:471.
-
(2005)
Commun Theor Phys
, vol.43
, pp. 471
-
-
Dai, C.Q.1
Meng, J.P.2
Zhang, J.F.3
-
26
-
-
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 2007, 8:461.
-
(2007)
Int J Nonlinear Sci Numer Simul
, vol.8
, pp. 461
-
-
Zhu, S.D.1
-
27
-
-
62949087346
-
ADM-Padé technique for the nonlinear lattice equations
-
Yang P., Chen Y., Li Z.B. ADM-Padé technique for the nonlinear lattice equations. Appl Math Comput 2009, 210:362.
-
(2009)
Appl Math Comput
, vol.210
, pp. 362
-
-
Yang, P.1
Chen, Y.2
Li, Z.B.3
-
28
-
-
33746253653
-
A symbolic computational method for constructing exact solutions to difference-differential equations
-
Wang Z., Zhang H-Q. A symbolic computational method for constructing exact solutions to difference-differential equations. Appl Math Comput 2006, 178(2):431.
-
(2006)
Appl Math Comput
, vol.178
, Issue.2
, pp. 431
-
-
Wang, Z.1
Zhang, H.-Q.2
-
29
-
-
37549033511
-
The (G'/G)-expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics
-
Wang M., Li X., Zhang J. The (G'/G)-expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics. Phys Lett A 2008, 372:417.
-
(2008)
Phys Lett A
, vol.372
, pp. 417
-
-
Wang, M.1
Li, X.2
Zhang, J.3
-
30
-
-
59649106322
-
The (G'/G)-expansion method for nonlinear differential-difference equations
-
Zhang S., Dong L., Ba J., Sun Y. The (G'/G)-expansion method for nonlinear differential-difference equations. Phys Lett A 2009, 373:905.
-
(2009)
Phys Lett A
, vol.373
, pp. 905
-
-
Zhang, S.1
Dong, L.2
Ba, J.3
Sun, Y.4
-
31
-
-
70449524234
-
Discrete exact solutions to some nonlinear differential-difference equations via the (G'/G)-expansion method
-
Aslan I. Discrete exact solutions to some nonlinear differential-difference equations via the (G'/G)-expansion method. Appl Math Comput 2009, 215(8):3140.
-
(2009)
Appl Math Comput
, vol.215
, Issue.8
, pp. 3140
-
-
Aslan, I.1
-
32
-
-
77953132009
-
The Ablowitz-Ladik lattice system by means of the extended (G'/G)-expansion method
-
Aslan I. The Ablowitz-Ladik lattice system by means of the extended (G'/G)-expansion method. Appl Math Comput 2010, 216(9):2778.
-
(2010)
Appl Math Comput
, vol.216
, Issue.9
, pp. 2778
-
-
Aslan, I.1
-
33
-
-
82055168919
-
The discrete (G'/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system
-
Aslan I. The discrete (G'/G)-expansion method applied to the differential-difference Burgers equation and the relativistic Toda lattice system. Numer Methods Partial Differ Equat 2012, 28(1):127.
-
(2012)
Numer Methods Partial Differ Equat
, vol.28
, Issue.1
, pp. 127
-
-
Aslan, I.1
-
34
-
-
80555131440
-
Variable-coefficient discrete (G'/G)-expansion method for nonlinear differential-difference equations
-
Tang B., He Y., Wei L., Wang S. Variable-coefficient discrete (G'/G)-expansion method for nonlinear differential-difference equations. Phys Lett A 2011, 375(38):3355.
-
(2011)
Phys Lett A
, vol.375
, Issue.38
, pp. 3355
-
-
Tang, B.1
He, Y.2
Wei, L.3
Wang, S.4
-
35
-
-
0030145528
-
Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation
-
Ma W.X., Fuchssteiner B. Explicit and exact solutions to a Kolmogorov-Petrovskii-Piskunov equation. Int J Non-Linear Mech 1996, 31:329.
-
(1996)
Int J Non-Linear Mech
, vol.31
, pp. 329
-
-
Ma, W.X.1
Fuchssteiner, B.2
-
36
-
-
33847192174
-
Partial differential equations possessing Frobenius integrable decompositions
-
Ma W.X., Wu H., He J. Partial differential equations possessing Frobenius integrable decompositions. Phys Lett A 2007, 364:29.
-
(2007)
Phys Lett A
, vol.364
, pp. 29
-
-
Ma, W.X.1
Wu, H.2
He, J.3
-
37
-
-
78149402626
-
A multiple exp-function method for nonlinear differential equations and its application
-
Ma W.X., Huang T., Zhang Y. A multiple exp-function method for nonlinear differential equations and its application. Phys Scr 2010, 82:065003.
-
(2010)
Phys Scr
, vol.82
, pp. 065003
-
-
Ma, W.X.1
Huang, T.2
Zhang, Y.3
-
38
-
-
67650383727
-
A transformed rational function method and exact solutions to the (3+1)-dimensional Jimbo-Miwa equation
-
Ma W.X., Lee J.H. A transformed rational function method and exact solutions to the (3+1)-dimensional Jimbo-Miwa equation. Chaos Solitons Fract 2009, 42:1356.
-
(2009)
Chaos Solitons Fract
, vol.42
, pp. 1356
-
-
Ma, W.X.1
Lee, J.H.2
-
39
-
-
79951580830
-
Comment on the (3+1)-dimensional Kadomtsev-Petviashvili equations
-
Ma W.X. Comment on the (3+1)-dimensional Kadomtsev-Petviashvili equations. Commun Nonlinear Sci Numer Simul 2011, 16:2663.
-
(2011)
Commun Nonlinear Sci Numer Simul
, vol.16
, pp. 2663
-
-
Ma, W.X.1
-
40
-
-
67349249989
-
Discrete tanh method for nonlinear difference-differential equations
-
Wang Z. Discrete tanh method for nonlinear difference-differential equations. Comput Phys Commun 2009, 180:1104.
-
(2009)
Comput Phys Commun
, vol.180
, pp. 1104
-
-
Wang, Z.1
-
41
-
-
34548577316
-
Exp-function method for the discrete mKdV lattice
-
Zhu S.D. Exp-function method for the discrete mKdV lattice. Int J Nonlinear Sci Numer Simul 2007, 8:465.
-
(2007)
Int J Nonlinear Sci Numer Simul
, vol.8
, pp. 465
-
-
Zhu, S.D.1
-
42
-
-
1542771584
-
Miura transformations for Toda-type integrable systems, with applications to the problem of integrable discretizations
-
Preprint 367, Sfb 288, Fachbereich Mathematik, Technische Universität Berlin, Berlin, Germany;
-
Suris YuB. Miura transformations for Toda-type integrable systems, with applications to the problem of integrable discretizations. Preprint 367, Sfb 288, Fachbereich Mathematik, Technische Universität Berlin, Berlin, Germany; 1998.
-
(1998)
-
-
Suris, Y.B.1
|