On traveling-wave solutions of the Kuramoto-Sivashinsky equation

DOI10.1016/S0167-2789(97)00121-8zbMath0925.35136MaRDI QIDQ1373906

Tianshiang Yang

Publication date: 26 November 1997

Published in: Physica D (Search for Journal in Brave)

zbMATH Keywords

numerical resultschaossolitary wavesasymptotic analysisregular shocks

Mathematics Subject Classification ID

KdV equations (Korteweg-de Vries equations) (35Q53) Impact in solid mechanics (74M20) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items

Local discontinuous Galerkin methods for the Kuramoto-Sivashinsky equations and the Ito-type coupled KdV equations, Suppression of nonlinear forced waves by input shaping, Meshless method of lines for the numerical solution of generalized Kuramoto-Sivashinsky equation, Numerical solutions of the generalized kuramoto-sivashinsky equation using B-spline functions, Stability enhancement by boundary control in the Kuramoto-Sivashinsky equation, Exponential asymptotics of localised patterns and snaking bifurcation diagrams, A mesh-free numerical method for solution of the family of Kuramoto-Sivashinsky equations, Orientation-Dependent Pinning and Homoclinic Snaking on a Planar Lattice, Heteroclinic bifurcations near Hopf-zero bifurcation in reversible vector fields in \(\mathbb R^3\)

Cites Work

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