SCOPUS 정보 검색 플랫폼

Volumn 211, Issue 2, 2009, Pages 531-536

On the validity and reliability of the (G′/G)-expansion method by using higher-order nonlinear equations

a IZMIR INSTITUTE OF TECHNOLOGY (Turkey)

Author keywords

(G G) expansion method; Ninth order KdV equation; Sixth order Boussinesq equation; Solitary wave solutions; Traveling wave solutions

Indexed keywords

HIGHER ORDERS; ILLUSTRATIVE EXAMPLES; NINTH-ORDER KDV EQUATION; SIXTH-ORDER BOUSSINESQ EQUATION; SOLITARY WAVE SOLUTIONS; SYMBOLIC COM-PUTATION; TRAVELING WAVE SOLUTIONS;

COMPUTATIONAL MECHANICS; LIQUID WAVES; WAVES;

NONLINEAR EQUATIONS;

EID: 64849102008 PISSN: 00963003 EISSN: None Source Type: Journal
DOI: 10.1016/j.amc.2009.01.075 Document Type: Article

Times cited : (56)

References (19)

1
- 0004048328
- Cambridge University Press, Cambridge
- Hirota R. The Direct Method in Soliton Theory (2004), Cambridge University Press, Cambridge
- (2004) The Direct Method in Soliton Theory
- Hirota, R.¹

2
- 0003816609
- SIAM, Philadelphia
- Ablowitz M.J., and Segur H. Solitons and Inverse Scattering Transform (1981), SIAM, Philadelphia
- (1981) Solitons and Inverse Scattering Transform
- Ablowitz, M.J.¹ Segur, H.²

3
- 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

4
- 0003888745
- Springer-Verlag, New York
- Miura R.M. Backlund Transformation (1973), Springer-Verlag, New York
- (1973) Backlund Transformation
- Miura, R.M.¹

5
- 0003991257
- Springer-Verlag, Berlin
- Bluman G.W., and Kumei S. Symmetries and Differential Equations (1989), Springer-Verlag, Berlin
- (1989) Symmetries and Differential Equations
- Bluman, G.W.¹ Kumei, S.²

6
- 0043093642
- A simple transformation for nonlinear waves
- Yan C. A simple transformation for nonlinear waves. Phys. Lett. A 224 (1996) 77-84
- (1996) Phys. Lett. A , vol.224 , pp. 77-84
- Yan, C.¹

7
- 33745177020
- Exp-function method for nonlinear wave equations
- He J.H., and Wu X.H. Exp-function method for nonlinear wave equations. Chaos Soliton Fract. 30 (2006) 700-708
- (2006) Chaos Soliton Fract. , vol.30 , pp. 700-708
- He, J.H.¹ Wu, X.H.²

8
- 55549089262
- Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method
- Öziş T., and Aslan I. Exact and explicit solutions to the (3+1)-dimensional Jimbo-Miwa equation via the Exp-function method. Phys. Lett. A 372 (2008) 7011-7015
- (2008) Phys. Lett. A , vol.372 , pp. 7011-7015
- Öziş, T.¹ Aslan, I.²

9
- 37549033511
- ′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics
- ′/G)-expansion method and travelling wave solutions of nonlinear evolution equations in mathematical physics. Phys. Lett. A 372 (2008) 417-423
- (2008) Phys. Lett. A , vol.372 , pp. 417-423
- Wang, M.¹ Li, X.² Zhang, J.³

10
- 41949137395
- ′/G)-expansion method for nonlinear evolution equations
- ′/G)-expansion method for nonlinear evolution equations. Phys. Lett. A 372 (2008) 3400-3406
- (2008) Phys. Lett. A , vol.372 , pp. 3400-3406
- Bekir, A.¹

11
- 67349145933
- doi:10.1016/j.chaos.2008.07.017
- A. Bekir, A.C. Cevikel, New exact travelling wave solutions of nonlinear physical models, Chaos Solitons Fract. doi:10.1016/j.chaos.2008.07.017.
- New exact travelling wave solutions of nonlinear physical models, Chaos Solitons Fract
- Bekir, A.¹ Cevikel, A.C.²

12
- 42749091472
- ′/G)-expansion method and its applications
- ′/G)-expansion method and its applications. Phys. Lett. A 372 (2008) 3653-3658
- (2008) Phys. Lett. A , vol.372 , pp. 3653-3658
- Zhang, J.¹ Wei, X.² Lu, Y.³

13
- 39849101219
- ′/G)-expansion method for the mKdV equation with variable coefficients
- ′/G)-expansion method for the mKdV equation with variable coefficients. Phys. Lett. A 372 (2008) 2254-2257
- (2008) Phys. Lett. A , vol.372 , pp. 2254-2257
- Zhang, S.¹ Tong, J.L.² Wang, W.³

14
- 60349094795
- ′/G)-expansion method
- ′/G)-expansion method. Appl. Math. Comput. 209 (2009) 425-429
- (2009) Appl. Math. Comput. , vol.209 , pp. 425-429
- Aslan, I.¹ Öziş, T.²

15
- 55949087342
- ′/G)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations
- ′/G)-expansion to travelling wave solutions of the Broer-Kaup and the approximate long water wave equations. Appl. Math. Comput. 206 (2008) 321-326
- (2008) Appl. Math. Comput. , vol.206 , pp. 321-326
- Wang, M.¹ Zhang, J.² Li, X.³

16
- 58849157227
- ′/G)-expansion method and travelling wave solutions for a higher-order nonlinear schrödinger equation
- ′/G)-expansion method and travelling wave solutions for a higher-order nonlinear schrödinger equation. Appl. Math. Comput. 208 (2009) 440-445
- (2009) Appl. Math. Comput. , vol.208 , pp. 440-445
- Ling-Xiao, L.¹ Ming-Liang, W.²

17
- 60349116399
- ′/G)-expansion method and its application to the (2+1)-dimensional Broer-Kaup equations
- ′/G)-expansion method and its application to the (2+1)-dimensional Broer-Kaup equations. Appl. Math. Comput. 209 (2009) 399-404
- (2009) Appl. Math. Comput. , vol.209 , pp. 399-404
- Zhang, S.¹ Wang, W.² Tong, J.³

18
- 50249165311
- Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation
- Wazwaz A.M. Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation. Appl. Math. Comput. 203 (2008) 277-283
- (2008) Appl. Math. Comput. , vol.203 , pp. 277-283
- Wazwaz, A.M.¹

19
- 56949092728
- Erratum to: "Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation"
- Wazwaz A.M. Erratum to: "Multiple-soliton solutions for the ninth-order KdV equation and sixth-order Boussinesq equation". Appl. Math. Comput. 206 (2008) 1005
- (2008) Appl. Math. Comput. , vol.206 , pp. 1005
- Wazwaz, A.M.¹

* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.