New travelling wave solutions to the Ostrovsky equation

Applied Mathematics and Computation

Volumn 216, Issue 11, 2010, Pages 3191-3194

  Yaşar, Emrullah ^a  

^a ULUDAG UNIVERSITY   (Turkey)

Author keywords

Improved tanh function method; Ostrovsky equation; Travelling wave solutions

Indexed keywords

DIFFERENTIAL EQUATIONS; ORDINARY DIFFERENTIAL EQUATIONS; RICCATI EQUATIONS; WAVE PROPAGATION; WAVE TRANSMISSION;

EXACT SOLUTION; IMPROVED TANH FUNCTION METHODS; NONLINEAR ORDINARY DIFFERENTIAL EQUATION; OSTROVSKY EQUATION; TRAVELLING WAVE SOLUTION;

NONLINEAR EQUATIONS;

EID: 78049297596     PISSN: 00963003     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.amc.2010.04.038     Document Type: Article

References (21)

1. C. S. Gradner, J. M. Greene, M. D. Kruskal, R. M. Miura, Method for solving the Korteweg-de Vries equation, Phys. Rev. Lett. 19(1967) 1095-1097.
2. R. Hirota, Exact solution of the Korteweg-de Vries equation for multiple collisions of solitons, Phys. Rev. Lett. 27(1971) 1192-1194.
3. J. H. He, M. A. Abdou, New periodic solutions for nonlinear evolution equations using Exp-function method, Chaos, Solitons Fractals 34(2007) 1421-1429. (Pubitemid 46907583)
4. J. H. He, L. N. Zhang, Generalized solitary solution and compaction-like solution of the Jaulent-Miodek equations using the Exp-function method, Phys. Lett. A 372(2008) 1044-1047.
5. J. H. He, X. H. Wu, Exp-function method for nonlinear wave equations, Chaos, Solitons Fractals 30(2006) 700-708.
6. J. H. He, Homotopy perturbation technique, Comput. Methods Appl. Mech. Eng. 178(1999) 257-262.
7. M. A. Abdou, The extended F-expansion method and its application for a class of nonlinear evolution equations, Chaos, Solitons Fractals 31(2007) 95-104. (Pubitemid 44038543)
8. J. H. He, Variational iteration method - some recent results and new interpretations, J. Comp. Appl. Math. 207(2007) 3-17.
9. Z. B. Li, M. L. Wang, Travelling wave solutions to the two-dimensional KdV-Burgers equation, J. Phys. A Math. Gen. 26(1993) 6027-6032.
10. M. L. Wang, Solitary wave solutions for variant Boussinesq equations, Phys. Lett. A 199(1995) 169-172.
11. Sirendaoreji, S. Jiong, Auxiliary equation method for solving nonlinear partial differential equations, Phys. Lett. A 309(2003) 387-396.
12. H. T. Chen, H. Q. Zhang, New multiple soliton solutions to the general Burgers-Fisher equation and the Kuramoto-Sivashinsky equation, Chaos, Solitons Fractals 19(2004) 71-76.
13. T. Ozer, New exact solutions to the CDF equations, Chaos, Solitons Fractals 39(2009) 1371-1385.
14. I. E. Inan, D. Kaya, Some exact solutions to the potential Kadomtsev-Petviashvili equation and to a system of shallow water wave equations, Phys. Lett. A 355(2006) 314-318. (Pubitemid 43783181)
15. L. A. Ostrovsky, Nonlinear internal waves in a rotating ocean, Oceanology 18(1978) 119-125.
16. V. O. Vakhnenko, E. J. Parkes, The two loop soliton of the Vakhnenko equation, Nonlinearity 11(1998) 1457-1464.
17. E. Yusufoglu, A. Bekir, A travelling wave solution to the Ostrovsky equation, Appl. Math. Comput. 186(2007) 256-260. (Pubitemid 46437386)
18. F. Kangalgil, F. Ayaz, New exact travelling wave solutions for the Ostrovsky equation, Phys. Lett. A 372(2008) 1831-1835.
19. P. J. Olver, Application of Lie Groups to Differential Equations, Springer-Verlag, New York, 1993.
20. Y. A. Stepanyants, On stationary solutions of the reduced Ostrovsky equation: periodic waves, compactons and compound solitons, Chaos, Solitons & Fractals 28(2006) 193-204. (Pubitemid 41491985)
21. B. Çelik, Maple and Mathematics with Maple, Dora Publishing, Bursa, 2010 (in Turkish).