Finite mode analysis of the generalized Kuramoto-Sivashinsky equation

Exact solutions of the generalized Kuramoto-Sivashinsky equation

Nikolay A. Kudryashov · Physics Letters A · 1990 · 506 citations

Natural Sciences, Mathematics, Physics +9

Heteroclinic cycles and modulated travelling waves in systems with O(2) symmetry

Dieter Armbruster, John Guckenheimer, Philip Holmes · Physica D Nonlinear Phenomena · 1988 · 223 citations

Natural Sciences, Mathematics, Physics +10

Formation of Saturated Solitons in a Nonlinear Dispersive System with Instability and Dissipation

Takuji Kawahara · Physical Review Letters · 1983 · 206 citations

Natural Sciences, Mathematics, Differential Equations +16

The interaction of two spatially resonant patterns in thermal convection. Part 1. Exact 1:2 resonance

M. R. E. Proctor, C. A. Jones · Journal of Fluid Mechanics · 1988 · 179 citations

Engineering, Mechanical Engineering, Fluid Dynamics +14

Kuramoto–Sivashinsky Dynamics on the Center–Unstable Manifold

Dieter Armbruster, John Guckenheimer, Philip Holmes · SIAM Journal on Applied Mathematics · 1989 · 168 citations

Natural Sciences, Mathematics, Physics +16