References
- Peregrine DH. Long waves on a beach. J. Fluid Mech. 1967;27:815–827.
- Benjamin TB, Bona JL, Mahony JJ. Model equations for long waves in nonlinear dispersive systems. Philos. Trans. Royal Soc. Ser. A. 1972;272:47–78.
- Gómez CA, Salas AH. Exact solutions for the generalized BBM equation with variable coefficients. Math. Prob. Eng. 2010;2010:1–10. Article ID 498249.
- Singh K, Gupta RK, Kumar S. Benjamin-Bona-Mahony (BBM) equation with variable coefficients: similarity reductions and Painlevé analysis. Appl. Math. Comput. 2011;217:7021–7027.
- Zhu M. Exact solutions to the variable coefficient combined BBM and the m-BBM equation. World Acad. Sci. Eng. Technol. 2011;52:920–921.
- Miura RM. Korteweg-de Vries equation and generalizations I, A remarkable explicit nonlinear transformation. J. Math. Phys. 1968;9:1202–1204.
- Nirmala N, Vedan MJ, Baby BV. Auto-Bäcklund transformation, Lax pairs, and Painlevé property of a variable coefficient Korteweg-de Vries equation I. J. Math. Phys. 1986;27:2640–2643.
- Liu Z, Yang C. The application of bifurcation method to a higher-order KdV equation. J. Math. Anal. Appl. 2002;275:1–12.
- Zhang Y, Lai S, Yin J, Wu Y. The application of the auxiliary equation technique to a generalized mKdV equation with variable coefficients. J. Comput. Appl. Math. 2009;223:75–85.
- Ben-Yu G, Zhong-Qing W. Modified Chebyshev rational spectral method for the whole line. Proceedings of the Fourth International Conference on Dynamical Systems and Differential Equations. Wilmington, NC; 2002. p. 365–374.
- Rincon MA, Límaco J, Vale R. Analysis and numerical solution of Benjamin-Bona-Mahony equation with moving boundary. Appl. Math. Comput. 2010;216:138–148.
- Pérez Pozo L, Meneses R, Spa C, Durán O. A meshless finite-point approximation for solving the RLW equation. Math. Prob. Eng. 2012;2012:1–22. doi:10.1155/2012/802414.
- Dağ I, Saka B, Irk D. Galerkin method for the numerical solution of the RLW equation using quintic B-splines. J. Comput. Appl. Math. 2006;190:532–547.
- Saka B, Dağ I. A collocation method for the numerical solution of the RLW equation using cubic B-spline basis. Arab. J. Sci. Eng. 2005;30:39–50.
- Saka B, Dağ I, Dogan A. A Galerkin method for the numerical solution of the RLW equation using quadratic B-splines. Int. J. Comput. Math. 2004;81:727–739.