Dissipative structures of the Kuramoto–Sivashinsky equation

@article{Kudryashov2015DissipativeSO,
  title={Dissipative structures of the Kuramoto–Sivashinsky equation},
  author={Nikolai A. Kudryashov and Pavel N. Ryabov and B. A. Petrov},
  journal={Automatic Control and Computer Sciences},
  year={2015},
  volume={49},
  pages={508-513}
}
The features of dissipative structure formation, which is described by the periodic boundary value problem for the Kuramoto–Sivashinsky equation, are investigated. A numerical algorithm based on the pseudospectral method is presented. The efficiency and accuracy of the proposed numerical method are proved using the exact solution of the equation under study… CONTINUE READING