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In this paper, the new optimal perturbation iteration method has been applied to solve the generalized regularized long wave equation. Comparing the new analytic approximate solutions with the known exact solutions reveals that the proposed technique is extremely accurate and effective in solving nonlinear wave equations. We also show that,unlike many other methods in literature, this method converges rapidly to exact solutions at lower order of approximations.
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참고문헌 (36)
참고문헌 신청
Y. Aksoy / 2010 / New perturbation-iteration solutions for Bratu-type equations / Computers & Math. Appl. 59(8):2802~2808
Y. Aksoy / 2012 / New perturbation-iteration solutions for nonlinear heat transfer equations / Int. J. Numer. Methods for Heat & Fluid Flow 22(7):814~828
Md. N. Alam / 2015 / Application of the Novel (G/G)-expansion method to the regularized long wave equation / Waves, Wavelets and Fractals Advanced Analysis 1:20~37
H. M. Baskonus / 2017 / Analytical solutions for nonlinear long-short wave interaction systems with highly complex / J. Comput. Appl. Math. 312:257~266
A. Bekir / 2008 / New solitons and periodic wave solutions for some nonlinear physical models by using the sine-cosine method / Phys. Scripta 77(4):045008
Y. Aksoy / 2012 / New perturbation-iteration solutions for nonlinear heat transfer equations / Int. J. Numer. Methods for Heat & Fluid Flow 22(7):814~828
Md. N. Alam / 2015 / Application of the Novel (G/G)-expansion method to the regularized long wave equation / Waves, Wavelets and Fractals Advanced Analysis 1:20~37
H. M. Baskonus / 2017 / Analytical solutions for nonlinear long-short wave interaction systems with highly complex / J. Comput. Appl. Math. 312:257~266
A. Bekir / 2008 / New solitons and periodic wave solutions for some nonlinear physical models by using the sine-cosine method / Phys. Scripta 77(4):045008
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