Exact traveling wave solutions for diffusive Lotka–Volterra systems of two competing species

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• 作者：Li-Chang Hung (1) d93221004@gmail.com
• 关键词：Traveling wave solutions – Exact solutions – Lotka–Volterra
• 刊名：Japan Journal of Industrial and Applied Mathematics
• 出版年：2012
• 出版时间：June 2012
• 年：2012
• 卷：29
• 期：2
• 页码：237-251
• 全文大小：427.8 KB
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• 作者单位：1. Department of Mathematics, National Taiwan University, Taipei, Taiwan
• 刊物类别：Mathematics and Statistics
• 刊物主题：Applications of Mathematics
  Computational Mathematics and Numerical Analysis
  
• 出版者：Springer Japan
• ISSN：1868-937X

文摘

By introducing appropriate ans?tzes, we prove in this paper that new exact traveling wave solutions for Lotka–Volterra systems of two competing species exist by constructing explicit solutions. In particular, it is notable that these exact traveling wave solutions may motivate us to explore new phenomena which appear in this system.