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## Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations

#### Hami Gündoğdu [1] , Ömer Faruk Gözükızıl [2]

##### 37 105

In this paper, we put forward a powerful method, named as the double Laplace decomposition method, for obtaining exact solutions of nonlinear partial differential equations subject to initial conditions. We especially interested in Hirota, Schrödinger and complex modified KdV equations with their initial conditions. The double Laplace deceomposition method is applied to these equations. We then gain complex-valued solutions, yield the given initial conditions. Moreover, we give some nonlinear partial equations to demonstrate that this method effective, useful, and powerful tool for getting real-valued functions.

Double Laplace transform, decomposition method, exact solution, Hirota equation, Schrödinger equation, complex mKdV equation
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Primary Language en Engineering Articles Author: Hami Gündoğdu (Primary Author)Institution: SAKARYA UNIVERSITYCountry: Turkey Author: Ömer Faruk GözükızılInstitution: SAKARYA ÜNİVERSİTESİCountry: Turkey Publication Date: April 15, 2019
 Bibtex @research article { konuralpjournalmath527635, journal = {Konuralp Journal of Mathematics (KJM)}, issn = {}, eissn = {2147-625X}, address = {Mehmet Zeki SARIKAYA}, year = {2019}, volume = {7}, pages = {7 - 15}, doi = {}, title = {Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations}, key = {cite}, author = {Gündoğdu, Hami and Gözükızıl, Ömer Faruk} } APA Gündoğdu, H , Gözükızıl, Ö . (2019). Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations. Konuralp Journal of Mathematics (KJM), 7 (1), 7-15. Retrieved from http://dergipark.org.tr/konuralpjournalmath/issue/31492/527635 MLA Gündoğdu, H , Gözükızıl, Ö . "Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations". Konuralp Journal of Mathematics (KJM) 7 (2019): 7-15 Chicago Gündoğdu, H , Gözükızıl, Ö . "Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations". Konuralp Journal of Mathematics (KJM) 7 (2019): 7-15 RIS TY - JOUR T1 - Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations AU - Hami Gündoğdu , Ömer Faruk Gözükızıl Y1 - 2019 PY - 2019 N1 - DO - T2 - Konuralp Journal of Mathematics (KJM) JF - Journal JO - JOR SP - 7 EP - 15 VL - 7 IS - 1 SN - -2147-625X M3 - UR - Y2 - 2019 ER - EndNote %0 Konuralp Journal of Mathematics (KJM) Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations %A Hami Gündoğdu , Ömer Faruk Gözükızıl %T Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations %D 2019 %J Konuralp Journal of Mathematics (KJM) %P -2147-625X %V 7 %N 1 %R %U ISNAD Gündoğdu, Hami , Gözükızıl, Ömer Faruk . "Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations". Konuralp Journal of Mathematics (KJM) 7 / 1 (April 2019): 7-15. AMA Gündoğdu H , Gözükızıl Ö . Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations. Konuralp J. Math.. 2019; 7(1): 7-15. Vancouver Gündoğdu H , Gözükızıl Ö . Double Laplace Decomposition Method and Exact Solutions of Hirota, Schrödinger and Complex mKdV Equations. Konuralp Journal of Mathematics (KJM). 2019; 7(1): 15-7.