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https://hdl.handle.net/11499/8825
Title: | Similarity solutions of nonlinear third-order dispersive PDEs: The first critical exponent | Authors: | Koçak, Hüseyin | Keywords: | Blow-up Global solution Nonlinear dispersion equation Self-similarity The first critical exponent Dispersion (waves) Dispersions Critical exponent Global solutions Nonlinear dispersion equations Self-similarities Nonlinear equations |
Publisher: | Elsevier Ltd | Abstract: | This study investigates the behaviour of blow-up and global similarity solutions for the nonlinear dispersion equation (NDE), u t =(|u| n u) xxx ±(|u| p-1 u) xx inR×R + ,n>0andp>n+1,and attempts to give some aspects analytically and numerically. One can easily see that the proposed NDE is more complicated and hence more difficult than the corresponding semilinear equation. We will particularly pay attention to the first critical exponent p=p 0 =n+2, which helps us to simplify the rescaled nonlinear equation and compare with semilinear ones studied in the literature. © 2017 Elsevier Ltd | URI: | https://hdl.handle.net/11499/8825 https://doi.org/10.1016/j.aml.2017.05.019 |
ISSN: | 0893-9659 |
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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