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Stability of Symmetric Solitary Wave Solutions of a Forced Korteweg-de Vries Equation and the Polynomial Chaos

Advances in Applied Mathematics and Mechanics 2012年第6期4卷 833-847页

作者： hongjoong kim Kyoung-Sook Moon Department of Mathematics Korea UniversitySeoul 136-701Korea Mathematics&Information Gachon UniversityGyeonggi-do 461-701Korea

In this paper,we consider the numerical stability of gravity-capillary waves generated by a localized pressure in water of finite depth based on the forced Korteweg-de Vries(FKdV)framework and the polynomial *** stability studies are focused on the symmetric solitary wave for the subcritical flow with the Bond number greater than one *** its steady symmetric solitarywave-like solutions are randomly perturbed,the evolutions of some waves show stability in time regardless of the randomness while other waves produce unstable *** representing the perturbation with a random variable,the governing FKdV equation is interpreted as a stochastic *** polynomial chaos expansion of the random solution has been used for the study of stability in two *** it allows us to identify the stable solution of the stochastic governing *** it is used to construct upper and lower bounding surfaces for unstable solutions,which encompass the fluctuations of waves.

关键词： Stability solitary waves polynomial chaos forced Korteweg-de Vries equation

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Self-Organized Cluster Based Multi-Hop Routing for Wireless Sensor Networks

Self-Organized Cluster Based Multi-Hop Routing for Wireless ...

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The 11th Asia-Pacific Network Operations and Management Symposium

作者： hongjoong Sin Sungju Lee Jangsu Lee Seunghwan Yoo Sanghyuc Lee Jaesik Lee Sungchun kim Department of Computer Science and Engineering Sogang Univ. CPO Box 1142SeoulKorea

It is difficult to apply other criteria techniques into wireless sensor networks. Since, sensor nodes are generally very small and have scarce resources. The energy efficient routing to prolong the life time is the major research issue in wireless sensor networks. Many researches proposed cluster- based schemes to reduce energy dissipation. These schemes have to maintain the information of overall nodes or create an imbalanced cluster formation. To solve these problems, we propose a self-organized clustering based on the multi-hop routing. In our proposed scheme, clusters are organized efficiently through the extension of clusters in distributed way without any location data. According to performance evaluation using NS-2, the proposed scheme increase the network lifetime longer than the previous schemes.

关键词： Wireless Sensor Networks Multi-hop Routing Clustering

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