A SIMPLE JUSTIFICATION OF TANH METHOD FOR DISCRETE SOLITARY WAVE SOLUTIONS

Autor:	Ahmad Syarif, Mahdhivan Syafwan, Admi Nazra
Jazyk:	English<br />Indonesian
Rok vydání:	2024
Předmět:	solitary wave solutions tanh method difference-differential equations. solusi gelombang soliter metode tanh persamaan beda-diferensial. Mathematics QA1-939
Zdroj:	Jurnal Lebesgue, Vol 5, Iss 2, Pp 1060-1065 (2024)
Druh dokumentu:	article
ISSN:	2721-8929 2721-8937
DOI:	10.46306/lb.v5i2.646
Popis:	The tanh method is known as an effective method for solving partial differential equations and obtaining traveling wave solutions. While well-used in continuous systems, its application to discrete systems (nonlinear difference-differential equations, DDEs) is still less explored. This paper revisits the tanh method for discrete systems, providing a simple justification for the method to produce discrete solitary wave solutions, including pulse-type and (anti)kink-type. By transforming DDEs into nonlinear ordinary differential equations (ODEs) and using polynomial forms in terms of the tanh function, we outline steps for deriving and verifying exact solutions
Databáze:	Directory of Open Access Journals
Externí odkaz:	https://doaj.org/article/6685ad9885aa4cf0ba198f685bf28ae1 Zobrazit plný text záznamu View record in DOAJ