The extension of the Jacobi elliptic function rational expansion method |
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| Affiliation: | 1. Department of Fundamental Physics, University of Salamanca, Plza. de la Merced s/n, 37.008, Salamanca, Spain;2. Department of Physics, University of Burgos, 09001, Burgos, Spain;3. Department of Mathematical Methods in Physics, University of Warsaw, ul. Pasteura 5, Warszawa 02-093, Poland;1. Department of Physics and Engineering Mathematics, Faculty of Engineering, Zagazig University, Zagazig, Egypt;2. Department of Basic Sciences, Benha Faculty of Engineering, Benha University, Benha, Egypt |
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| Abstract: | Using a new ansätz, we extend the Jacobi elliptic function rational expansion method and apply it to the asymmetric Nizhnik–Novikov–Veselov equations and the Davey–Stewartson equations. With the aid of symbolic computation, we construct more new Jacobi elliptic doubly periodic wave solutions and the corresponding solitary wave solutions and triangular functional (singly periodic) solutions. |
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