Exact solitary-wave solutions and periodic wave solutions for generalized modified Boussinesq equation and the effect of wave velocity on wave shape |
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| Authors: | Wei-guo Zhang Shao-wei Li Wei-zhong Tian Lu Zhang |
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| Affiliation: | [1]College of Science University of Shanghai for Science and Technology, Shanghai 200093, China [2]School of mathematics and information engineering, Taizhou university, Zhejiang, 317300, China |
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| Abstract: | By means of the undetermined assumption method,we obtain some new exact solitary-wave solu- tions with hyperbolic secant function fractional form and periodic wave solutions with cosine function form for the generalized modified Boussinesq equation.We also discuss the boundedness of these solutions.More over, we study the correlative characteristic of the solitary-wave solutions and the periodic wave solutions along with the travelling wave velocity's variation. |
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| Keywords: | Generalized modified Boussinesq equation exact solitary-wave solution periodic wave solution |
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