An improved generalized F-expansion method and its application to the (2 + 1)-dimensional KdV equations |
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| Affiliation: | 1. Department of Mathematics, Bohai University, Jinzhou 121000, China;2. Department of Mathematics, Shanghai University, Shanghai 200444, China;1. Department of Mathematics, Faculty of Mathematical Sciences, University of Guilan, Rasht, Iran;2. Department of Mathematics, Faculty of Mathematical Sciences, University of Mazandaran, Babolsar, Iran;3. Department of Mathematical Sciences, Delaware State University, Dover, DE 19901-2277, USA;4. Faculty of Science, Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762, USA;2. Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Arts and Sciences, Uludag University, 16059 Bursa, Turkey;5. School of Electronics and Information Engineering, Wuhan Donghu University, Wuhan 430212, People''s Republic of China;6. Science Program, Texas A&M University at Qatar, PO Box 23874, Doha, Qatar;1. Department of Physics, Chemistry and Mathematics, Alabama A&M University, Normal, AL 35762-7500, USA;2. Department of Mathematics, King Abdulaziz University, Jeddah 21589, Saudi Arabia;3. Department of Mathematics and Statistics, Tshwane University of Technology, Pretoria 0008, South Africa;4. Department of Mathematics, Faculty of Science and Arts, Yozgat Bozok University, 66100 Yozgat, Turkey;5. Institute of Physics Belgrade, Pregrevica 118, 11080 Zemun, Serbia |
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| Abstract: | An improved generalized F-expansion method is proposed to seek exact solutions of nonlinear partial differential equations. With the aid of symbolic computation, we choose the (2 + 1)-dimensional KdV equations to illustrate the validity and advantages of the proposed method. Many new and more general non-travelling wave solutions are obtained, including single and combined non-degenerate Jacobi elliptic function solutions, soliton-like solutions, trigonometric function solutions, each of which contains two arbitrary functions. |
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