Lie Symmetry Reductions and Solitary Wave Solutions of Modified Equal Width Wave Equation
- 40 Downloads
In this paper, we obtained the exact and solitary wave solutions of modified equal width wave equation by using Lie symmetry method. With the help of MAPLE software we obtained infinitesimal generators and commutation table. Lie symmetry transformation has been used for converting nonlinear partial differential equation into nonlinear ordinary differential equation. Then, we used tanh method and power series method for solving reduced nonlinear ordinary differential equations. Convergence of power series solution has also been shown.
KeywordsModified equal width wave (MEWW) equation Lie symmetry analysis method Tanh method Power series solution Symbolic computation
The second author is thankful to the “University Grants Commission (UGC)” India for financial support to carry out her research work.
- 13.Din, S.T.M., Yildirim, A., Berberler, M.E., Hosseini, M.M.: Numerical solution of the modified equal width wave equation. World Appl. Sci. J. 8(7), 792–798 (2010)Google Scholar
- 26.Goyal, N., Wazwaz, A.M., Gupta, R.K.: Applications of maple software to derive exact solutions of generalized fifth-order Korteweg–De Vries equation with time-dependent coefficients. Rom. Rep. Phys. 68(1), 99–111 (2016)Google Scholar