Year 2017, Volume 2 , Issue 1, Pages 13 - 26 2017-04-30

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

Yusuf PANDİR [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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Primary Language en
Subjects Mathematics
Journal Section Research Article
Authors

Author: Yusuf PANDİR
Institution: BOZOK ÜNİVERSİTESİ
Country: Turkey


Author: Halime ULUSOY
Country: Turkey


Dates

Publication Date : April 30, 2017

Bibtex @research article { 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 = {Pandi̇r, Yusuf and Ulusoy, Halime} }
APA Pandi̇r, 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 Pandi̇r, 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 <https://dergipark.org.tr/en/pub/jetas/issue/29805/303875>
Chicago Pandi̇r, 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 Pandi̇r , 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 - 2020 ER -
EndNote %0 Journal of Engineering Technology and Applied Sciences The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations %A Yusuf Pandi̇r , 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 Pandi̇r, Yusuf , Ulusoy, Halime . "The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations". Journal of Engineering Technology and Applied Sciences 2 / 1 (April 2017): 13-26 . https://doi.org/10.30931/jetas.303875
AMA Pandi̇r Y , Ulusoy H . The Multi-Wave Method for Exact Solutions of Nonlinear Partial Differential Equations. jetas. 2017; 2(1): 13-26.
Vancouver Pandi̇r 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): 13-26.