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Transactions: WSEAS TRANSACTIONS ON MATHEMATICS
Transactions ID Number: 53-830
Full Name: MeiFeng Li
Position: Lecturer
Age: ON
Sex: Female
Address: School of Science,Tianjin University of Commerce
Country: CHINA
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E-mail address: dtguangzhang@yahoo.com.cn
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Title of the Paper: periodic travelling wave solutions for coupled map lattices
Authors as they appear in the Paper: Mei-Feng Li,Guang Zhang,Hui-Feng Li,Jin-Liang Wang
Email addresses of all the authors: dtguangzhang@yahoo.com.cn,lxylmf@tjcu.edu.cn,lihuifeng@qtech.edu.cn
Number of paper pages: 15
Abstract: A type of coupled map lattice (CML) is considered in this paper. What we want to do is to define the form of a travelling wave solution and to reveal its existence. Due to the infinite property of the problem, we have tried the periodic case, which can be dealt with on a finite set. The main approach for our study is the implicit existence theorem. The results indicate that if the parameters of the system satisfy some exact conditions, then there exists a periodic travelling wave solution in an exact neighborhood of a given one. However, these conditions are sufficient, but not necessary. In particular, the exact 2-periodic travelling wave solutions are also obtained. It gives some examples for the conditions of parameters, 2-periodic travelling wave solutions exist when these conditions are satisfied.
Keywords: Coupled map lattice, Periodic travelling wave solution, Implicit existence theorem, Nagumo equation, Existence, Nontrivial solution
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