New exact solutions for the classical Drinfel'd-Sokolov-Wilson equation

Applied Mathematics and Computation

Volumn 215, Issue 6, 2009, Pages 2349-2358

  Wen, Zhenshu ^a   Liu, Zhengrong ^a   Song, Ming ^b  

^a SOUTH CHINA UNIVERSITY OF TECHNOLOGY   (China)

^b YUXI NORMAL UNIVERSITY   (China)

Author keywords

Bifurcation method; Classical Drinfel'd Sokolov Wilson equation; New exact solutions

Indexed keywords

BIFURCATION METHOD; BIFURCATION METHODS; BLOWUP SOLUTIONS; CLASSICAL DRINFEL'D-SOKOLOV-WILSON EQUATION; EXACT SOLUTION; EXPLICIT EXPRESSIONS; NEW EXACT SOLUTIONS; NON-ZERO PARAMETERS; PERIODIC SOLUTION; SOLITARY WAVE SOLUTION; WILSON EQUATION;

DYNAMICAL SYSTEMS; SOLITONS;

BIFURCATION (MATHEMATICS);

EID: 70349998706     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2009.08.025     Document Type: Article

References (19)

1. Gardner C.S., et al. Method for solving the Korteweg-de Vries equation. Phys. Rev. Lett. 19 (1967) 1095-1097
2. Miura M.R. Bäcklund Transformation (1978), Springer-Verlag, Berlin
3. Hirota R. Exact solution of the KdV equation for multiple collisions of solitons. Phys. Rev. Lett. 27 (1971) 1192-1194
4. Gu C.H., et al. Darboux Transformation in Soliton Theory and Its Geometry Applications (1999), Shanghai Science Technology Press, Shanghai
5. 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
6. Wang M.L. Solitary wave solutions for variant Boussinesq equations. Phys. Lett. A 199 3-4 (1995) 169-172
7. Qian T.F., and Tang M.Y. Peakons and periodic cusp waves in a generalized Camassa-Holm equation. Chaos, Solitons Fract. 12 (2001) 1347-1360
8. Liu Z.R., and Qian T.F. Peakons of the Camassa-Holm equation. Appl. Math. Model. 26 (2002) 473-480
9. 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
10. Wang M.Y., and Yang C.X. Extension on peaked wave solutions of CH-γ equation. Chaos, Solitons Fract. 20 (2004) 815-825
11. Liu Z.R., Wang R.Q., and Jing Z.J. Peaked wave solutions of Camassa-Holm equation. Chaos, Solitons Fract. 19 1 (2004) 77-92
12. Liu Z.R., and Guo B.L. Periodic blow-up solutions and their limit forms for the generalized Camassa-Holm equation. Prog. Nat. Sci. 18 (2008) 259-266
13. Yao R.X., and Li Z.B. New exact solutions for three nonlinear evolution equations. Phys. Lett. A 297 (2002) 196-204
14. 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
15. Hirota R., Grammaticos B., and Ramani A. Soliton structure of the Drinfel'd-Sokolov-Wilson equation. J. Math. Phys. 27 6 (1986) 1499-1505
16. 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
17. Yao Y.Q. Abundant families of new traveling wave solutions for the coupled Drinfel'd-Sokolov-Wilson equation. Chaos, Solitons Fract. 24 (2005) 301-307
18. Mustafa Inc., 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.
19. 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