• Corpus ID: 239050536

Modulating traveling fronts in a dispersive Swift-Hohenberg equation coupled to an additional conservation law

@inproceedings{Hilder2021ModulatingTF,
  title={Modulating traveling fronts in a dispersive Swift-Hohenberg equation coupled to an additional conservation law},
  author={Bastian Hilder},
  year={2021}
}
We consider a one-dimensional Swift-Hohenberg equation coupled to a conservation law, where both equations contain additional dispersive terms breaking the reflection symmetry x 7→ −x. This system exhibits a Turing instability and we study the dynamics close to the onset of this instability. First, we show that periodic traveling waves bifurcate from a homogeneous ground state. Second, fixing the bifurcation parameter close to the onset of instability, we construct modulating traveling fronts… 

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