Exact solutions to the double Sine-Gordon equation |
| |
| Institution: | 1. Department of Mathematics and Physics, Henan University of Science and Technology, Luoyang 471003, PR China;2. Department of Mathematics, Lanzhou University, Lanzhou 730000, PR China;1. School of Natural Sciences, Institute for Advanced Study, Princeton, NJ 08540, USA;2. Center of Mathematical Sciences and Applications, Harvard University, Cambridge, MA, USA;3. Department of Physics, Harvard University, Cambridge, MA 02138, USA;4. Department of Mathematics, Harvard University, Cambridge, MA 02138, USA;1. Mathematics Department, Faculty of Science, Al-Azhar University, Nasr-City, Cairo, Egypt;2. Department of Mathematics, Faculty of Science, Federal University Dutse, Jigawa State, Nigeria;3. Mathematics Department, Faculty of Science, Menoufia University, Shebein El-Koom, Egypt;1. Department of Applied Mathematics, University of Washington, Seattle, WA 98195-3925, USA;2. Department of Physics and Astronomy, University College London, London, WC1E 6BT, UK |
| |
| Abstract: | The double Sine-Gordon equation (DSG) with arbitrary constant coefficients is studied by F-expansion method, which can be thought of as an over-all generalization of the Jacobi elliptic function expansion since F here stands for every one of the Jacobi elliptic functions (even other functions). We first derive three kinds of the generic solutions of the DSG as well as the generic solutions of the Sine-Gordon equation (SG), then in terms of Appendix A, many exact periodic wave solutions, solitary wave solutions and trigonometric function solutions of the DSG are separated from its generic solutions. The corresponding results of the SG, which is a special case of the DSG, can also be obtained. |
| |
| Keywords: | |
| 本文献已被 ScienceDirect 等数据库收录！ |
|
