Please use this identifier to cite or link to this item: https://hdl.handle.net/11499/46692
Title: Lie group analysis and exact solutions of nonlinear dispersive equations for porous media
Authors: Pinar, Zehra
Kocak, Huseyin
Keywords: Singular Similarity Solutions
Pdes
Publisher: Springer Heidelberg
Abstract: Dispersive equations have recently been attractive in the nonlinear wave phenomena appearing in many applications of science and engineering. In this work, the symmetry solutions of the dispersive equation with porous medium-type nonlinearity, which is a generalized nonlinear dispersion-diffusion model, are revealed. To obtain the exact solutions of nonlinear equations, various techniques, including the ansatz methods, are applied in the literature. This work uses the classical Lie group of transformations, which is the most general and effective one. The long-time behaviour of solutions is discussed regarding the different powers of nonlinearities.
URI: https://doi.org/10.1140/epjp/s13360-022-02406-2
https://hdl.handle.net/11499/46692
ISSN: 2190-5444
Appears in Collections:İktisadi ve İdari Bilimler Fakültesi Koleksiyonu
Scopus İndeksli Yayınlar Koleksiyonu / Scopus Indexed Publications Collection
WoS İndeksli Yayınlar Koleksiyonu / WoS Indexed Publications Collection

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