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A note on the modified simple equation method applied to Sharma-Tasso-Olver equation. (English) Zbl 1239.35170
Summary: A. J. M. Jawad et al. [Appl. Math. Comput. 217, No. 2, 869–877 (2010; Zbl 1201.65119)] have applied the modified simple equation method to find the exact solutions of the nonlinear FitzHugh-Naguma equation and the nonlinear Sharma-Tasso-Olver equation. The analysis of the Sharma-Tasso-Olver equation obtained by Jawad et al. [loc. cit.] is based on a variant of the modified simple equation method. In this paper, we provide its direct application and obtain new 1-soliton solutions.
MSC:
35Q92PDEs in connection with biology and other natural sciences
35Q51Soliton-like equations
35A24Methods of ordinary differential equations for PDE
35C08Soliton solutions of PDE
References:
[1]Jawad, A. J. M.; Petkovic, M. D.; Biswas, A.: Modified simple equation method for nonlinear evolution equations, Appl. math. Comput. 217, 869-877 (2010) · Zbl 1201.65119 · doi:10.1016/j.amc.2010.06.030