Exp-function method for traveling wave solutions of modified Zakharov-Kuznetsov equation

Journal of King Saud University - Science

Volumn 22, Issue 4, 2010, Pages 213-216

  Mohyud Din, Syed Tauseef ^a   Noor, Muhammad Aslam ^b,c   Noor, Khalida Inayat ^b  

^a HITEC University Taxila Cantt   (Pakistan)

^b COMSATS Institute of Information Technology ^*  (Pakistan)

^c KING SAUD UNIVERSITY   (Saudi Arabia)

Author keywords

Exp function method; Nonlinear evolution equations; Zakharov Kuznetsov equation

Indexed keywords

EID: 79956343059     PISSN: 10183647     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.jksus.2010.04.015     Document Type: Article

References (19)

1. Abdou M.A., Soliman A.A., Basyony S.T. New application of exp-function method for improved Boussinesq equation. Phys. Lett. A 2007, 369:469-475.
2. El-Wakil S.A., Madkour M.A., Abdou M.A. Application of exp-function method for nonlinear evolution equations with variable co-efficient. Phys. Lett. A 2007, 369:62-69.
3. He J.H., Abdou M.A. New periodic solutions for nonlinear evolution equation using exp-method. Chaos Solitons & Fractals 2007, 1421-1429.
4. He J.H., Wu X.H. Exp-function method for nonlinear wave equations. Chaos Solitons & Fractals 2006, 30(3):700-708.
5. Mohyud-Din S.T., Noor M.A., Waheed A. Exp-function method for generalized travelling solutions of good Boussinesq equations. J. Appl. Math. Comput. Springer 2008, 29:81-94. 10.1007/s12190-008-0183-8.
6. Mohyud-Din, S.T., Noor, M.A., Noor, K.I., 2009. Some relatively new techniques for nonlinear problems. Math. Probl. Eng., Article ID 234849, 25pp. doi:. doi:10.1155/2009/234849.
7. Mohyud-Din S.T., Noor M.A., Waheed A. Exp-function method for generalized travelling solutions of Calogero-Degasperis-Fokas equation. Z. Naturforsch. A 2010, 65a:78-84. (IF=0.691).
8. Noor M.A., Mohyud-Din S.T., Waheed A. Exp-function method for solving Kuramoto-Sivashinsky and Boussinesq equations. J. Appl. Math. Comput. 2008, 10.1007/s12190-008-0083-.
9. Noor M.A., Mohyud-Din S.T., Waheed A. Exp-function method for generalized travelling solutions of master partial differential equations. Acta Applicandac. Math. 2008, 10.1007/s10440-008-9245-z.
10. Tascan F., Bekir A., Kopran M. Traveling wave solutions of nonlinear evolution equation by using the first-integral method. Commun. Nonlin. Sci. Num. Sim. 2008, 10.1016/j.cnsns.2008.07.009.
11. Wazwaz A.M. The extended tanh method for Zakharov-Kuznetsov equation (ZK), the modified ZK equation and its generalized forms. Commun. Nonlin. Sci. Num. Sim. 2008, 13:1039.
12. Wu X.H., He J.H. Solitary solutions, periodic solutions and compacton like solutions using the exp-function method. Comput. Math. Appl. 2007, 54:966-986.
13. Wu, X.H., He, J.H., in press. Exp-function method and its applications to nonlinear equations. Chaos Solitons & Fractals.
14. Yusufoglu E. New solitonary solutions for the MBBN equations using exp-function method. Phys. Lett. A 2008, 372:442-446.
15. Zhang S. Application of exp-function method to high-dimensional nonlinear evolution equation. Chaos Solitons & Fractals 2007, 365:448-455.
16. Zhou S.D. Exp-function method for the Hybrid-Lattice system. Int. J. Nonlin. Sci. Num. Sim. 2007, 8(3):461-464.
17. Zhou X.W., Wen Y.X., He J.H. Exp-function method to solve the nonlinear dispersive k(m,n) equations. Int. J. Nonlin. Sci. Num. Sim. 2008, 9(3):301-306.
18. Zhu S.D. Exp-function method for the Hybrid-Lattice system. Int. J. Nonlin. Sci. Num. Sim. 2007, 8:461-464.
19. Zhu S.D. Exp-function method for the discrete mKdV lattice. Int. J. Nonlin. Sci. Num. Sim. 2007, 8:465-468.