On Periodic Wave Solutions to (1+1)-Dimensional Nonlinear Physical Models Using the Sine-Cosine Method

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• 作者：Bouetou B. Thomas (1) (2)
  Gambo Betchewe (1) (2)
  Kuetche K. Victor (1) (2)
  Kofane T. Crepin (2) (3)
  
• 关键词：Sine ; cosine method ; Periodic waves ; Nonlinear equations
• 刊名：Acta Applicandae Mathematicae
• 出版年：2010
• 出版时间：May 2010
• 年：2010
• 卷：110
• 期：2
• 页码：945-953
• 全文大小：610KB
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• 作者单位：Bouetou B. Thomas (1) (2)
  Gambo Betchewe (1) (2)
  Kuetche K. Victor (1) (2)
  Kofane T. Crepin (2) (3)
  
  1. Ecole Nationale Sup茅rieure Polytechnique, University of Yaounde I, P.O. Box, 8390, Yaounde, Cameroon
  2. Department of Physics, Faculty of Science, University of Yaounde I, P.O. Box, 812, Yaounde, Cameroon
  3. The Abdus Salam International Centre for Theoretical Physics, P.O. Box 586, Strada Costiera, 34014, Trieste, Italy
  
• ISSN：1572-9036

文摘

We investigate two interesting (1+1)-dimensional nonlinear partial differential evolution equations (NLPDEEs), namely the nonlinear dispersion equation with compact structures and the generalized Camassa鈥揌olm (CH) equation describing the propagation of unidirectional shallow water waves on a flat bottom, and arising in the study of a certain non-Newtonian fluid. Using an interesting technique known as the sine-cosine method for investigating travelling wave solutions to NLPDEEs, we construct many new families of wave solutions to the previous NLPDEEs, amongst which the periodic waves, enriching the wide class of solutions to the above equations.