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## The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations

#### Yusuf Pandir [1] , Halime Ulusoy [2]

In this research, we use the multi-wave method to obtain new exact solutions for generalized forms of 5th order KdV equation and fth order KdV (fKdV) equation with power law nonlinearity. Computations are performed with the help of the mathematics software Mathematica. Then, periodic wave solutions, bright soliton solutions and rational function solutions with free parameters are obtained by this approach. It is shown that this method is very useful and effective.
Multi-wave method, generalized forms of 5th order KdV equation, fth order KdV (fKdV) equation, Soliton solutions.
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Birincil Dil en Matematik Research Article Yazar: Yusuf Pandir Kurum: BOZOK ÜNİVERSİTESİÜlke: Turkey Yazar: Halime Ulusoy Ülke: Turkey Yayımlanma Tarihi : 30 Nisan 2017
 Bibtex @araştırma makalesi { jetas303875, journal = {Journal of Engineering Technology and Applied Sciences}, issn = {}, eissn = {2548-0391}, address = {Yıldız Teknik Üniversitesi, Kimya Metalurji Fakültesi, Mathematik Mühendisliği, oda no:A235}, publisher = {Muhammet KURULAY}, year = {2017}, volume = {2}, pages = {13 - 26}, doi = {10.30931/jetas.303875}, title = {The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations}, key = {cite}, author = {Pandir, Yusuf and Ulusoy, Halime} } APA Pandir, Y , Ulusoy, H . (2017). The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. Journal of Engineering Technology and Applied Sciences , 2 (1) , 13-26 . DOI: 10.30931/jetas.303875 MLA Pandir, Y , Ulusoy, H . "The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations". Journal of Engineering Technology and Applied Sciences 2 (2017 ): 13-26 Chicago Pandir, Y , Ulusoy, H . "The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations". Journal of Engineering Technology and Applied Sciences 2 (2017 ): 13-26 RIS TY - JOUR T1 - The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations AU - Yusuf Pandir , Halime Ulusoy Y1 - 2017 PY - 2017 N1 - doi: 10.30931/jetas.303875 DO - 10.30931/jetas.303875 T2 - Journal of Engineering Technology and Applied Sciences JF - Journal JO - JOR SP - 13 EP - 26 VL - 2 IS - 1 SN - -2548-0391 M3 - doi: 10.30931/jetas.303875 UR - https://doi.org/10.30931/jetas.303875 Y2 - 2019 ER - EndNote %0 Journal of Engineering Technology and Applied Sciences The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations %A Yusuf Pandir , Halime Ulusoy %T The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations %D 2017 %J Journal of Engineering Technology and Applied Sciences %P -2548-0391 %V 2 %N 1 %R doi: 10.30931/jetas.303875 %U 10.30931/jetas.303875 ISNAD Pandir, Yusuf , Ulusoy, Halime . "The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations". Journal of Engineering Technology and Applied Sciences 2 / 1 (Nisan 2017): 13-26 . https://doi.org/10.30931/jetas.303875 AMA Pandir Y , Ulusoy H . The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. jetas. 2017; 2(1): 13-26. Vancouver Pandir Y , Ulusoy H . The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. Journal of Engineering Technology and Applied Sciences. 2017; 2(1): 26-13.