An exact solution to the Kuramoto-Sivashinsky equation

DOI10.1016/S0375-9601(99)00783-5zbMath0942.35155OpenAlexW2013710810MaRDI QIDQ1569435

Bishri A. Abdel-Hamid

Publication date: 3 July 2000

Published in: Physics Letters. A (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0375-9601(99)00783-5

zbMATH Keywords

dispersive equationdissipative effects

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Solutions to PDEs in closed form (35C05)

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Cites Work

• Some global dynamical properties of the Kuramoto-Sivashinsky equations: nonlinear stability and attractors
• Second-order splitting combined with orthogonal cubic spline collocation method for the Kuramoto-Sivashinsky equation
• Some practical experience with the time integration of dissipative equations
• Exact solutions for a compound KdV-Burgers equation
• On Flame Propagation Under Conditions of Stoichiometry
• Some Numerical Aspects of Computing Inertial Manifolds