Solitary and periodic solutions of the generalized Kuramoto-Sivashinsky equation
Nikolai A. Kudryashov
TL;DR
This paper explores the generalized Kuramoto-Sivashinsky equation with power nonlinearity, presenting new exact solutions and analyzing solitary and periodic wave behaviors.
Contribution
It introduces novel exact solutions for the generalized Kuramoto-Sivashinsky equation with arbitrary power nonlinearity.
Findings
Discovery of new solitary wave solutions
Identification of periodic wave solutions
Enhanced understanding of wave dynamics in the equation
Abstract
The generalized Kuramoto-Sivashinsky equation in the case of the power nonlinearity with arbitrary degree is considered. New exact solutions of this equation are presented.
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