International Journal of Nonlinear Analysis and Applications

Precise solutions to the Hirota equation and Hirota-Maccari system by using the extended rational methods

Document Type : Research Paper

Authors

School of Mathematics and Computer science, Iran University of Science and Technology, Narmak, Tehran, Iran

Abstract

‎This ‎paper ‎adopts‎ the extended rational sinh-cosh as well as sine-cosine procedures to find precise solutions to the Hirota equation and Hirota-Maccari equation‎. ‎It is illustrated that seeking the precise solutions for these equations plays a foremost and effectual role in solving the numerous kinds of PDEs applied in optics, fluid mechanics, plasma physics and solid physics.‎‎ ‎Furthermore‎, ‎we are able to obtain some consequences of dark and cusp wave solutions‎. ‎Besides‎, ‎two-dimensional and three-dimensional surfaces have been drawn in order to acknowledge the concept of the acquired equations‎.

Keywords

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International Journal of Nonlinear Analysis and Applications
Volume 15, Issue 2
February 2024
Pages 11-27
  • Receive Date: 05 January 2023
  • Revise Date: 10 March 2023
  • Accept Date: 13 March 2023