New exact solutions for two generalized Hirota–Satsuma coupled KdV systems |
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| Affiliation: | 1. School of Sciences, Zhejiang A&F University, Lin’an, Zhejiang 311300, PR China;2. School of Environmental & Resources, Zhejiang A&F University, Lin’an, Zhejiang 311300, PR China;1. Department of Mathematics, Lishui University, Lishui, 323000, People''s Republic of China;2. College of Mathematics and Systems Science, Shandong University of Science and Technology, Qingdao, 266590, People''s Republic of China;1. Engineering Research Center for Optoelectronics of Guangdong Province, South China University of Technology, Guangzhou 510640, China;2. School of Physics and Optoelectronics, South China University of Technology, Guangzhou 510640, China;3. School of Electronics and Information, South China University of Technology, Guangzhou 510640, China;4. School of Electronical Enineering, Dongguan University of Technology, Dongguan 523808, China;1. Department of Mathematics, Chaohu College, Chaohu 238000, China;2. School of Mathematics Sciences, USTC, Hefei 230026, China;3. Anhui Fuhuang Steel Structure, Chaohu 238076, China |
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| Abstract: | By using the solutions of an auxiliary ordinary differential equation, a direct algebraic method is described to construct the exact solutions for nonlinear evolution equations. By this method two generalized Hirota–Satsuma coupled KdV systems are investigated and new exact solutions are explicitly obtained with the aid of symbolic computation. |
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