Travelling wave solutions of nonlinear evolution equations by using the first integral method |
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| Authors: | Filiz Tascan Ahmet Bekir Murat Koparan |
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| Institution: | 1. School of Software Technology, Dalian University of Technology, Dalian 116620, China;2. Department of Mathematics, Inner Mongolia University of Technology, Hohhot 010051, China;3. School of Computer Information Management, Inner Mongolia University of Finance and Economics, Hohhot 010070, China;1. Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA;2. Department of Mathematics, The University of Texas at Austin, Austin, TX 78712-1202, USA;3. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, Shandong 266590, China;4. International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X2046, Mmabatho 2735, South Africa;5. Department of Mathematics, Zhejiang Normal University, Jinhua 321004, PR China;1. Universidad Autnoma de la Ciudad de Mexico, Prolongacin San Isidro 151, Col. San Lorenzo Tezonco, Del. Iztapalapa, C.P., Mexico D.F. 09790, Mexico;2. Faculty of Engineering Technology, Amol University of Special Modern Technologies, Amol, Iran;3. Department of Basic Science, Faculty of Mines and Petroleum Industries, University of Maroua, Maroua, Cameroon;4. National Advanced School of Engineering, University of Yaounde I, Cameroon;5. Laboratory of Mechanics, Materials and Structures, Department of Physics, University of Yaounde I, Cameroon;6. Centre d''Excellence en Technologies de l''Information et de la Communication (CETIC), University of Yaounde I, Yaounde, Cameroon;7. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;8. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, Eskisehir 26030, Turkey |
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| Abstract: | In this paper, we established travelling wave solutions for some (2 + 1)-dimensional nonlinear evolution equations. The first integral method was used to construct travelling wave solutions of nonlinear evolution equations. The travelling wave solutions are expressed by the hyperbolic functions, the trigonometric functions and the rational functions. The first integral method presents a wider applicability for handling nonlinear wave equations. |
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