Stability of Localized Pulse Trains with a Long Tail in the Generalized Kuramoto–Sivashinsky Equation
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概要
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Steadily progressive solutions of the generalized Kuramoto–Sivashinsky equation are studied by means of a numerical simulation and a stability analysis under the periodic boundary conditions. Multiple solutions are obtained by the numerical simulation, including pulse trains with an extraordinary long flat tail. A flat solution of the generalized Kuramoto–Sivashinsky equation is known to be unstable. The stability analysis however reveals that the solution with the long flat tail can be stable in a certain range of parameters.
- 2008-06-15
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