Analytic study on two nonlinear evolution equations by using the (G′/G)-expansion method

Applied Mathematics and Computation

Volumn 209, Issue 2, 2009, Pages 425-429

  Aslan, Ismail ^a   Öziş, Turgut ^b  

^a IZMIR INSTITUTE OF TECHNOLOGY   (Turkey)

^b EGE UNIVERSITY   (Turkey)

Author keywords

(G G) expansion method; Exact solutions; Modified Camassa Holm equation; Traveling wave solutions; Two dimensional Korteweg de Vries Burgers equation

Indexed keywords

DIFFERENTIAL EQUATIONS; FUNCTION EVALUATION; PARTIAL DIFFERENTIAL EQUATIONS; TURBULENCE; TWO DIMENSIONAL;

EXACT SOLUTIONS; MODIFIED CAMASSA-HOLM EQUATION; NON-LINEAR PARTIAL DIFFERENTIAL EQUATIONS; NONLINEAR EVOLUTION EQUATIONS; NONLINEAR EVOLUTIONARY EQUATIONS; RATIONAL FUNCTIONS; TRAVELING WAVE SOLUTIONS; TWO-DIMENSIONAL KORTEWEG-DE-VRIES-BURGERS EQUATION;

NONLINEAR EQUATIONS;

EID: 60349094795     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2008.12.064     Document Type: Article

References (20)

1. Weiss J., Tabor M., and Carnevale G. The Painleve property for partial differential equations. J. Math. Phys. 24 (1983) 522-526
2. Liu G.T., and Fan T.Y. New applications of developed Jacobi elliptic function expansion methods. Phys. Lett. A 345 (2005) 161-166
3. Hirota R. The Direct Method in Soliton Theory (2004), Cambridge University Press, Cambridge
4. Wazwaz A.M. Distinct variants of the KdV equation with compact and noncompact structures. Appl. Math. Comput. 150 (2004) 365-377
5. Fan E.G. Extended tanh-function method and its applications to nonlinear equations. Phys. Lett. A 277 (2000) 212-218
6. He J.H., and Wu X.H. Exp-function method for nonlinear wave equations. Chaos Solitons Fract. 30 (2006) 700-708
7. Wang M., Li X., and Zhang J. The (G′/G)-expansion method and traveling wave solutions of nonlinear evolution equations in mathematical physics. Phys. Lett. A 372 (2008) 417-423
8. Bekir A. Application of the (G′/G)-expansion method for nonlinear evolution equations. Phys. Lett. A 372 (2008) 3400-3406
9. Zhang J., Wei X., and Lu Y. A generalized (G′/G)-expansion method and its applications. Phys. Lett. A 372 (2008) 3653-3658
10. Zhang S., Tong J.L., and Wang W. A generalized (G′/G)-expansion method for the mKdV equation with variable coefficients. Phys. Lett. A 372 (2008) 2254-2257
11. Wazwaz A.M. Solitary wave solutions for modified forms of Degasperis-Procesi and Camassa-Holm equations. Phys. Lett. A 352 (2006) 500-504
12. Wazwaz A.M. New solitary wave solutions to the modified forms of Degasperis-Procesi and Camassa-Holm equations. Appl. Math. Comput. 186 (2007) 130-141
13. E. Yusufoglu, New solitonary solutions for modified forms of DP and CH equations using Exp-function method, Chaos Solitons Fract. doi:10.1016/j.chaos.2007.07.009.
14. Fan E. Extended tanh-function method and its applications to nonlinear equations. Phys. Lett. A 277 (2000) 212-218
15. Molabahrami A., Khani F., and Nezhad S.H. Soliton solutions of the two-dimensional KdV-Burgers equation by homotopy perturbation method. Phys. Lett. A 370 (2007) 433-436
16. Kaya D. An application of the decomposition method for the two-dimensional KdV-Burgers equation. Comput. Math. Appl. 48 (2004) 1659-1665
17. Parkes E.J. Exact solutions to two-dimensional Korteweg-de-Vries-Burgers equation. J. Phys. A: Math. Gen. 27 (1994) L497-L501
18. Fan E., Zhang J., and Hon B.Y.C. A new complex line soliton for the two-dimensional KdV-Burgers equation. Phys. Lett. A 29 (2001) 376-380
19. Feng Z., and Wang X. The first integral method to the two-dimensional Burgers-Korteweg-de-Vries equation. Phys. Lett. A 308 (2003) 173-178
20. Ma W. An exact solution to two-dimensional Korteweg-de-Vries-Burgers equation. J. Phys. A: Math. Gen. 26 (1993) L17-L20