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3-periodic traveling wave solutions for a dynamical coupled map lattice

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Abstract

In this paper, the existence of periodic traveling wave solutions with a priori unknown velocity is considered for a coupled map lattice dynamical system. By trasforming our problem into one that involves polynomials, explicit 2- and 3-periodic traveling wave solutions are found, while the other solutions can be computed numerically. Since there does not seem to be any reports on explicit traveling wave solutions, we hope that our results will lead to the discovery of many others.

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Authors and Affiliations

  1. School of Science, Tianjin University of Commerce, Tianjin, 300134, P.R. China

    Guang Zhang

  2. Department of Mathematics, Qingdao Technological University, Qingdao, 266033, P.R. China

    Dongmei Jiang

  3. Department of Mathematics, Tsing Hua University, Hsinchu, Taiwan, 30043, R.O. China

    Sui Sun Cheng

Authors
  1. Guang Zhang
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  2. Dongmei Jiang
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  3. Sui Sun Cheng
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Correspondence to Guang Zhang.

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Mathematics subject classification: 39A10

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Zhang, G., Jiang, D. & Cheng, S.S. 3-periodic traveling wave solutions for a dynamical coupled map lattice. Nonlinear Dyn 50, 235–247 (2007). https://doi.org/10.1007/s11071-006-9154-5

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  • DOI: https://doi.org/10.1007/s11071-006-9154-5

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