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Bounded travelling wave solutions for the (n + 1)-dimensional sine- and sinh-Gordon equations |
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| Authors: | Jibin Li Ming Li |
| Institution: | aDepartment of Mathematics, Zhejiang Normail University, Jinhua, Zhejing 321004, China bSchool of Science, Kunming University of Science and Technology, Kunming, Yunnan 650093, China cDepartment of Mathematics, Qujing Normal Institute Qujing, Yunnan 655000, China |
| Abstract: | For the (n + 1)-dimensional sine- and sinh-Gordon equations, by using the approach of dynamical systems to a class of travelling wave solutions, in 21 different regions of a five-parameter space, all possible 21 bounded solutions ( solitary breather solutions, kink and anti-kink breather solutions and double-periodic wave solutions) are obtained. Explicit exact parametric representations are given. |
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