Exact solutions of the Drinfel'd-Sokolov-Wilson equation using the Exp-function method

Applied Mathematics and Computation

Volumn 216, Issue 9, 2010, Pages 2623-2627

  Misirli, Emine ^a   Gurefe, Yusuf ^a  

^a EGE UNIVERSITY   (Turkey)

Author keywords

Drinfel'd Sokolov Wilson equation; Exp function method; Solitary solution; Symbolic computation

Indexed keywords

BLOWUP SOLUTIONS; EXACT SOLUTION; EXP-FUNCTION METHOD; SOLITARY SOLUTIONS; SYMBOLIC COMPUTATION; WILSON EQUATION;

NONLINEAR EQUATIONS;

EID: 77953136504     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.03.105     Document Type: Article

References (25)

1. Miura M.R. Bäcklund Transformation (1978), Springer-Verlag, Berlin
2. Yan Z.Y., and Zhang H.Q. On a new algorithm of constructing solitary wave solutions for systems of nonlinear evolution equations in mathematical physics. Appl. Math. Mech. 21 4 (2000) 383-388
3. Wang M.L. Solitary wave solutions for variant Boussinesq equations. Phys. Lett. A 199 34 (1995) 169-172
4. Wen Z., Liu Z., and Song M. New exact solutions for the classical Drinfel'd-Sokolov-Wilson equation. Appl. Math. Comput. 215 (2009) 2349-2358
5. Tang M.Y., Wang R.Q., and Jing Z.J. Solitary waves and their bifurcations of KdV like equation with higher order nonlinearity. Sci. China Ser. A 45 10 (2002) 1255-1267
6. Wang M.Y., and Yang C.X. Extension on peaked wave solutions of CH-γ equation. Chaos Soliton. Fract. 20 (2004) 815-825
7. Fan E.G. Extended tanh-function method and its applications to nonlinear equations. Phys. Lett. A 277 (2000) 212-218
8. Wazwaz A.M. The tanh method for compact and noncompact solutions for variants of the KdV-Burger the K(nn) Burger equations. Physica D 213 (2006) 147-151
9. Liu S.K., Fu Z.T., Liu S.D., and Zhao Q. Jacobi elliptic function expansion method and periodic wave solutions of nonlinear wave equations. Phys. Lett. A 289 (2001) 69-74
10. Fu Z.T., Liu S.K., Liu S.D., and Zhao Q. New Jacobi elliptic function expansion and new periodic solutions of nonlinear wave equations. Phys. Lett. A 290 (2001) 72-76
11. Fu Z., Yuan N., Chenb Z., Maoc J., and Liu S. Multi-order exact solutions to the Drinfel'd-Sokolov-Wilson equations. Phys. Lett. A 373 (2009) 3710-3714
12. Hirota R. Exact solution of the KdV equation for multiple collisions of solitons. Phys. Rev. Lett. 27 (1971) 1192-1194
13. He J.H., and Wu X.H. Exp-function method for nonlinear wave equations. Chaos Soliton. Fract. 30 (2006) 700-708
14. He J.H., and Abdou M.A. New periodic solutions for nonlinear evolution equations using Exp-function method. Chaos Soliton. Fract. 34 (2007) 1421-1429
15. Wu X.H., and He J.H. Solitary solutions, periodic solutions and compacton-like solutions using the Exp-function method. Comput. Math. Appl. 54 (2007) 966-986
16. Xu Y.G., Zhou X.W., and Yao L. Solving the fifth order Caudrey-Dodd-Gibbon (CDG) equation using the exp-function method. Appl. Math. Comput. 206 (2008) 70-73
17. Ebaid A. Exact solitary wave solutions for some nonlinear evolution equations via Exp-function method. Phys. Lett. A 365 (2007) 213-219
18. Kudryashov N.A., and Loguinova N.B. Be careful with the Exp-function method. Commun. Nonlinear Sci. Numer. Simulat. 14 (2009) 1881-1890
19. Hirota R., Grammaticos B., and Ramani A. Soliton structure of the Drinfel'd-Sokolov-Wilson equation. J. Math. Phys. 27 6 (1986) 1499-1505
20. Yao R.X., and Li Z.B. New exact solutions for three nonlinear evolution equations. Phys. Lett. A 297 (2002) 196-204
21. Liu C.P., and Liu X.P. Exact solutions of the classical Drinfel'd-Sokolov-Wilson equations and the relations among the solutions. Phys. Lett. A 303 (2002) 197-203
22. Fan E.G. An algebraic method for finding a series of exact solutions to integrable and nonintegrable nonlinear evolution equations. J. Phys. A Math. Gen. 36 (2003) 7009-7026
23. Yao Y.Q. Abundant families of new traveling wave solutions for the coupled Drinfel'd-Sokolov-Wilson equation. Chaos Soliton. Fract. 24 (2005) 301-307
24. Inc. M. On numerical doubly periodic wave solutions of the coupled Drinfel'd-Sokolov-Wilson equation by the decomposition method. Appl. Math. Comput. 172 (2006) 421-430
25. Qin Z.X., and Yan Z.H. An improved F-expansion method and its application to coupled Drinfel'd-Sokolov-Wilson equation. Commun. Theor. Phys. 50 (2008) 309-314