Work

A Simple Justification of Tanh Method for Discrete Solitary Wave Solutions

Year: 2024

Type: article

Abstract: 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

Source: Jurnal Lebesgue Jurnal Ilmiah Pendidikan Matematika Matematika dan Statistika

DOI: 10.46306/lb.v5i2.646

Authors: Ahmad Syarif, Mahdhivan Syafwan, Admi Nazra

Institution: Andalas University

Language: English

Topic: Nonlinear Waves and Solitons

Subfield: Statistical and Nonlinear Physics

Field: Physics and Astronomy

Domain: Physical Sciences

Open Access status: gold

Estimated APC paid: $16

OpenAlex ID: W4401944067

FWCI:

Cites:

Cited by:

Related to: 10