Abundant wave solutions for generalized Hietarinta equation with Hirota's bilinear operator
MODERN PHYSICS LETTERS B, vol.36, no.10, 2022 (SCI-Expanded, Scopus)
- Publication Type: Article / Article
- Volume: 36 Issue: 10
- Publication Date: 2022
- Doi Number: 10.1142/s0217984922500324
- Journal Name: MODERN PHYSICS LETTERS B
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, Academic Search Premier, Chemical Abstracts Core, INSPEC, zbMATH
- Keywords: Hirota bilinear technique, bilinear form, generalized (2+1)-dimensional Hietarinta equation, periodic solitary solutions, periodic soliton wave solutions
- Erciyes University Affiliated: Yes
Abstract
In this work, we study the generalized (2+1)-dimensional Hietarinta equation by utilizing Hirota's bilinear method. In addition, the lump solution and breather solution are presented. Using suitable mathematical assumptions, the new types of lump, singular, and breather soliton solutions are derived and established in view of the hyperbolic, trigonometric, and rational functions of the governing equation. Moreover, we give a lot of graphs in some subsections to determine the analysis of behavior solutions for the generalized (2+1)-dimensional Hietarinta equation. The results are useful for obtaining and explaining some new soliton phenomena.