Multiple Soliton Solutions of Some Nonlinear Partial Differential Equations
Abstract
In this paper, we implemented an improved tanh function Method for multiple soliton solutions of new coupled Konno-Oono equation and extended (3+1)-dimensional KdV-type equation.
Keywords
References
- [1] L. Debtnath, Nonlinear partial differential equations for scientist and engineers, Birkhauser, Boston, MA, 1997.
- [2] A. M. Wazwaz, Partial differential equations: methods and applications, Balkema, Rotterdam, 2002.
- [3] Y. Shang, Backlund transformation,Lax pairs and explicit exact solutions for the shallow water wave sequation, Appl. Math. Comput., 187 (2007), 1286-1297.
- [4] T. L. Bock, M. D. Kruskal, A two-parameter Miura transformation of the Benjamin-Onoequation, Phys. Lett. A, 74 (1979), 173-176.
- [5] V. B. Matveev, M. A. Salle, Darboux transformations and solitons, Springer, Berlin, 1991.
- [6] A.M. Abourabia, M. M. El Horbaty, On solitary wave solutions for the two-dimensional nonlinear modified Kortweg-de Vries-Burger equation, Chaos Solitons Fractals, 29 (2006), 354-364.
- [7] W. Malfliet, Solitary wave solutions of nonlinear wave equations, Am. J. Phys., 60 (1992), 650-654.
- [8] Y. Chuntao, A simple transformation for nonlinear waves, Phys. Lett. A, 224 (1996), 77-84.
- [9] F. Cariello, M. Tabor, Painlev eexpansions for nonintegrable evolution equations, Phys. D, 39(1989), 77-94.
- [10] E. Fan, Two new application of the homogeneous balance method, Phys. Lett. A, 265 (2000), 353-357.
