Abundant wave solutions for generalized Hietarinta equation with Hirota’s bilinear operator

Author:

Shen Xindi1,Manafian Jalil23ORCID,Jiang Meng4,Ilhan Onur Alp5,Shafik Shafik S.6,Zaidi Muhaned7

Affiliation:

1. Department of Arts and Science, Shanghai University of Medicine & Health Sciences, 201318 Shanghai, China

2. Department of Applied Mathematics, Faculty of Mathematical Sciences, University of Tabriz, Tabriz, Iran

3. Natural Sciences Faculty, Lankaran State University, 50, H. Aslanov Street, Lankaran, Azerbaijan

4. College of Medical Imaging, Shanghai University of Medicine & Health Sciences, Shanghai 201318, China

5. Department of Mathematics, Faculty of Education, Erciyes University, 38039 Melikgazi, Kayseri, Turkey

6. Experimental Nuclear Radiation Group, Scientific Research Center, Al-Ayen University, Thi-Qar 64001, Iraq

7. Al-Manara College For Medical Sciences, Iraq

Abstract

In this work, we study the generalized ([Formula: see text])-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 ([Formula: see text])-dimensional Hietarinta equation. The results are useful for obtaining and explaining some new soliton phenomena.

Funder

biological function and application of several small molecular active peptides

Publisher

World Scientific Pub Co Pte Ltd

Subject

Condensed Matter Physics,Statistical and Nonlinear Physics

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