Double Exp-function method and application

International Journal of Nonlinear Sciences and Numerical Simulation

Volumn 10, Issue 7, 2009, Pages 927-933

  Fu, Hai Ming ^a   Dai, Zheng De ^a  

^a YUNNAN UNIVERSITY   (China)

Author keywords

Burgers equation; Double Exp function; Exp function method; Solitary solution

Indexed keywords

EID: 70349604102     PISSN: 15651339     EISSN: None     Source Type: Journal    
DOI: 10.1515/IJNSNS.2009.10.7.927     Document Type: Article

References (15)

1. Wahlquist HD, Estabrook FB, Backund T. Transformation for solutions of the Korteweg-de vries equation[J]. Phys Rev Lett, 23 (1973): 1386-1389
2. Ablowitz MJ, Clarkson PA. Solitons, Nonlinear Evolution and Inverse Scattering [M]. New York: Cambridge University Press, 1991
3. Garder CS, Greene JM, Kruskal M D, et al. Method for solving the Korteweg-de vries equation [J]. Phys Rev Lett, 19 (1967): 1095-1097
4. He JH. Application of homotopy perturbation method to nonlinear wave equations [J]. Chaos Solitons & Fractals, 26 (2005): 695-700
5. He JH. Homotopy perturbation method for bifurcation of nonlinear problems [J]. International Journal of Nonlinear Sciences and Numerical Simulation, 6 (2005): 207-208
6. Hirota R, Satsuma J. Soliton solutions of a coupled Korteweg-de vries equation [J]. Phys Lett, 85 A (1981): 407-408
7. Nozaki K. Hirota's method and the singular manifold expansion [J]. J Phys Soc Japan, 56 (1987): 3052-3054
8. Conte R, Musette M. Painleve'analysis and Backlund transformation in the Kuramoto-Sivashinsky equation [J]. J Phys A:Math Gen, 22 (1989): 169-177
9. Wang ML, Zhou YB, Li ZB. Application of homogeneous balance method to exact solutions of nonlinear equations in mathematical physics [J]. Phys Lett A, 216 (1996): 67-75
10. (Pubitemid 30868416) Abdel-hamid B. Exact solutions of some nonlinear evolution equations using symbolic computations [J]. Computers Math Applic, 40 (2000): 291-302
11. Fan EG, Zhang HQ. The homogeneous balance method for solving nonlinear soliton equations [J]. Acta Physica Sinica, 47 (1998): 353-362
12. (Pubitemid 43903182) He JH, Wu XH. Exp-function method fo nonlinear wave equations [J]. Chaos, Solitons & Fractals, 30 (2006): 700-708
13. He JH, Abdou M A. New periodic solutions for nonlinear evolution equations using Exp-function method [J]. Chaos, Solitions & Fractals, 34 (2006): 1421-1429
14. He JH. An elementary introduction to recently developed asymptotic methods and nanomechanics in textile engineering [J]. International Journal of Modern Physics B, 22 (2008): 3487-3578
15. Zhou XW, Wen YX, He JH. Exp-function method to solve the nonlinear dispersive K (m, n) equations [J]. International Journal of Nonlinear Sciences and Numerical Simulation, 9 (2008): 301-306