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Asymptotic analysis to domain walls between traveling waves modeled by real coupled Ginzburg-Landau equations

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  • Kai, Yue
  • Yin, Zhixiang

Abstract

We apply an asymptotic analysis to one-dimensional domain wall between traveling waves. The governing partial differential equations are firstly transformed into a real coupled nonlinear ordinary equations system, and then the homotopy renormalization (HTR) method is used to solve it. These solutions are analytical and under some special conditions of the parameters, are exact. In particular, the phenomena revealed by the solutions, namely the sinks and sources, are discussed and it can be seen easily that the source is narrower than the sink, which agrees well with the experimental results. Moreover, compared with the numerical results graphically, we can guarantee that the obtained simple analytical solutions are accurate in the whole domain.

Suggested Citation

  • Kai, Yue & Yin, Zhixiang, 2021. "Asymptotic analysis to domain walls between traveling waves modeled by real coupled Ginzburg-Landau equations," Chaos, Solitons & Fractals, Elsevier, vol. 152(C).
    • Handle: RePEc:eee:chsofr:v:152:y:2021:i:c:s0960077921006202
    DOI: 10.1016/j.chaos.2021.111266
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