New solitary wave solutions of the Sawada-Kotera equation and its bidirectional form. (12th July 2021)

• Record Type: Journal Article
• Authors: Ghanbari, Behzad; Asadi, Esmaeel
• Is Part Of: Physica scripta. Volume 96:Number 10(2021)
• Publication Date: 2021-07-12
• Subjects: Hirota's bilinear form -- exact solutions -- symbolic calculations -- wave ansatz methods; Physics -- Periodicals; 530.05
• DOI: 10.1088/1402-4896/ac108b
• Languages: English
• ISSNs: 0031-8949

Abstract

Abstract: In this paper, the solitary wave ansatz method along with Hirota's bilinear form are used to study the well-known Sawada-Kotera equation and its bidirectional form. Numerical simulations related to some of these solutions are given in the article. These figures provide us with a better understanding of visualizing the dynamic behavior of solutions. For the latter equation, we have found an indefinite quadratic bilinear Hirota solution with three homogenous terms and a constant. The techniques used in this paper can be adopted to solve other nonlinear models.