High-order rational-type solutions of the analogous (3+1)-dimensional Hirota-bilinear-like equation-Reference-Cited by-同舟云学术

High-order rational-type solutions of the analogous (3+1)-dimensional Hirota-bilinear-like equation

Published:2023 Issue:11 Volume:20 Page:19360-19371
ISSN:1551-0018
Container-title:Mathematical Biosciences and Engineering
language:
Short-container-title:MBE

Author:

Li Wenting¹,Jiao Ailing²,Liu Wei¹,Guo Zhaoying¹

Affiliation:

1. Qiongtai Normal University, Haikou 571127, China

2. School of Mathematics, Heilongjiang University, Harbin 150080, China

Abstract

<abstract><p>In this article, a new dynamical system equation named the (3+1)-dimensional Hirota-bilinear-like equation (HBLE) was constructed. The generalized Hirota bilinear method was applied to obtain this new HBLE in (3+1) dimensions. This new HBLE possesses a similar bilinear form to the original (3+1)-dimensional Hirota bilinear equation, but with additional nonlinear terms. A set of high-order rational solutions is constructed for the given equation, generated from polynomial solutions to the associated generalized bilinear equation. The analyticity conditions of the resulting solutions were investigated and six groups of general solutions were derived. In addition, the shape and surface of the high-order rational function solutions and their dynamic behaviors were studied by utilizing Maple.</p></abstract>

Publisher

American Institute of Mathematical Sciences (AIMS)

Subject

Applied Mathematics,Computational Mathematics,General Agricultural and Biological Sciences,Modeling and Simulation,General Medicine

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