Year: 2024
Author: Ben Yang, Yunjia Song, Xinxue Zhang
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 970–983
Abstract
In this article, exact solutions of the Lonngren-wave equation are investigated. Firstly, the equation is transformed into an ordinary differential equation by traveling wave transformation. Based on the homogeneous balance method, bright-solitons and singular periodic wave solutions of the equation are derived by applying the simple function expansion method and the Riccati equation method. Applying the $Exp(−φ(ς))$ expansion method, we construct dark-solitons and kink wave solutions of the equation. Moreover, the 3-D, 2-D and density plots are drawn by choosing the appropriate parameters so that the properties of the solutions can be better studied. According to the Figures, the analysis of the dynamical behavior of the solutions is provided. This article enriches the diversity of the solutions of the equation.
Journal Article Details
Publisher Name: Global Science Press
Language: English
DOI: https://doi.org/10.12150/jnma.2024.970
Journal of Nonlinear Modeling and Analysis, Vol. 6 (2024), Iss. 4 : pp. 970–983
Published online: 2024-01
AMS Subject Headings:
Copyright: COPYRIGHT: © Global Science Press
Pages: 14
Keywords: Lonngren-wave equation soliton solutions kink wave solutions singular periodic wave solutions.