A new Riccati equation rational expansion method and exact traveling wave solution for the BBM equations

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참고문헌 (16)

1. M.J. Ablowitz, "Solitons, Nonlinear Evolution Equations and Inverse Scattering" (1991), Cambridge University Press
2. Y. Chen, "Auto-Backlund transformation and exact solutions for modified nonlinear dispersive mK (m,n) equations", Chaos, Solitons and Fractals, 17, pp.693~698 (2003)
3. S.Y. Lou, "Special solutions from variable separation approach: Davey-Stewartson equation", J Phys A, 29, pp.4209~4215 (1996)
4. V.A. Matveev, "Darboux Transformations and Solitons" (1991), Springer-Verlag
5. X.B. Hu, "Application of Hirota's bilinear formalism to the Toeplitz larricesome special solitonlike solution", Phys Lett A, 293, pp.161~165 (2002)
6. E.J. Patjes, "Travelling Solitary Wave solutions to a compound Kdv-Burgers equation", Physlett A, 229, pp.217~220 (1997)
7. E.G. Fan, "Extended tanh-function method and its applications to nonlinear eqiatopms", Phys Lett A, 277, pp.212~218 (2000)
8. Y.T. Gao, "Generalized hyperbolic-function method with computerized symbolic computation to construct the solitonic solutions to nonlinear equations of mathematical physics", Comput Phys Comm, 133, pp.158~164 (2001)
9. Z.Y. Van, "New explicit travelling wave solutions for two new integrable coupled nonlinear evolution equations", Phus Lett A, 292, pp.100~106 (2001)
10. M.L. Wang, "An auto-Backlund transformation and exact solutions to a Generalized Kdv equation with variable coefficients and their applications", Phys Lett A, 303, pp.45~51 (2002)
11. P.A. Clarkson, "New similarity reductions of the Boussinesq equation", Math Phys, 30, pp.2201~2213 (1989)
12. X.Y. Tang, "Conditional similarity reductions of Jimbo-Miwa equation ma the classical Lie group approach", Commun Theor Phvs, 39, pp.121~125 (2003)
13. T.C. Abountis, "On the integrability of systems of nonlinear ordinary differential equations With superposition principles", J Math Phys, 27, pp.1215~1224 (1986)
14. J.M. Zuo, "A computational method for the nonlinear BBM equation", Journal of Shandong University:Natural Science, 4, pp.47~50 (2008)
15. L. Xia, "Exact solutions to(2+1)-Dimensional BBM equation", Journal of Southwest China Normal University:Natural Science Edition, 6, pp.41~43 (2007)
16. R. Conte, "Lind between solitary waves and projective Riccati equations", J Phys A, 25, pp.5609~5623 (1992)

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