4.7 Article

The new exact solutions of the Fifth-Order Sawada-Kotera equation using three wave method

Journal

APPLIED MATHEMATICS LETTERS
Volume 94, Issue -, Pages 232-237

Publisher

PERGAMON-ELSEVIER SCIENCE LTD
DOI: 10.1016/j.aml.2019.03.001

Keywords

Three wave method; Hirota bilinear form; Periodic solitary solution

Funding

  1. National Natural Science Foundation of China [11861013, 11771444]
  2. Fundamental Research Funds for the Central Universities, China, China University of Geosciences (Wuhan) [2018061]
  3. Guangxi Natural Science Foundation, China [2017GXNSFAA198221]

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In this paper, traveling waves with different frequencies and velocities can be constructed by three wave method. Some new exact solitary and periodic solitary solutions are obtained for the Fifth-Order Sawada-Kotera equation using three wave type method via Hirota bilinear form. The solutions investigated by three wave method are more than solutions by others method such as homoclinic test method. (C) 2019 Elsevier Ltd. All rights reserved.

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