@Article{JNMA-6-4,
author = {Yang, Ben and Yunjia, Song and Zhang, Xinxue},
title = {Bright-Dark Solitons, Kink Wave and Singular Periodic Wave Solutions for the Lonngren-Wave Equation},
journal = {Journal of Nonlinear Modeling and Analysis},
year = {2024},
volume = {6},
number = {4},
pages = {970--983},
abstract = {<p style="text-align: justify;">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.</p>},
issn = {2562-2862},
doi = {https://doi.org/10.12150/jnma.2024.970},
url = {https://global-sci.com/article/91561/bright-dark-solitons-kink-wave-and-singular-periodic-wave-solutions-for-the-lonngren-wave-equation}
}