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Nonuniform Continuity of the Osmosis K(2, 2) Equation

The qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. The parametric conditions of existence of the smooth periodic travelling wave solutions are given. We show that the solution map is not uniformly continuous by using the theory of Himonas and Misiolek. The p...

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Bibliographic Details
Published in:Abstract and Applied Analysis 2013-01, Vol.2013 (2013), p.353-360-939
Main Authors: Chen, Aiyong, Ding, Yong, Huang, Wentao
Format: Article
Language:English
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Summary:The qualitative theory of differential equations is applied to the osmosis K(2, 2) equation. The parametric conditions of existence of the smooth periodic travelling wave solutions are given. We show that the solution map is not uniformly continuous by using the theory of Himonas and Misiolek. The proof relies on a construction of smooth periodic travelling waves with small amplitude.
ISSN:1085-3375
1687-0409
DOI:10.1155/2013/717042