New Solitary-Wave Solutions of the Van der Waals Normal Form for Granular Materials via New Auxiliary Equation Method

Autor:	Xiaomeng Zhu, Jinkang Cheng, Zhuokai Chen, Guojiang Wu
Jazyk:	angličtina
Rok vydání:	2022
Předmět:	Riccati equation Van der Waals normal form nonlinear evolution equation solitary wave solution auxiliary equation Mathematics QA1-939
Zdroj:	Mathematics, Vol 10, Iss 15, p 2560 (2022)
Druh dokumentu:	article
ISSN:	2227-7390
DOI:	10.3390/math10152560
Popis:	In this paper, we use general Riccati equation to construct new solitary wave solutions of the Van der Waals normal form, which is one of the most famous models for natural and industrial granular materials. It is very important to understand the static and dynamic characteristics of this models in many application fields. We solve the general Riccati equation through different function transformation, and many new hyperbolic function solutions are obtained. Then, it is substituted into the Van der Waals normal form as an auxiliary equation. Abundant types of solitary-wave solutions are obtained by choosing different coefficient in the general Riccati equation, and some of them have not been found in other documents. The results show that the analysis method we used is very simple and effective for dealing with nonlinear models.
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/e6eaf0dcc4d64f56b86bad8970c3994a Zobrazit plný text záznamu View record in DOAJ Plný text ve formátu PDF Plný text ve formátu HTML
Nepřihlášeným uživatelům se plný text nezobrazuje	K zobrazení výsledku je třeba se přihlásit.