Depinning, front motion, and phase slips

A mathematical mechanism for instabilities in stripe formation on growing domains

(2011) Kei-Ichi Ueda et al.   PHYSICA D-NONLINEAR PHENOMENA

Swift-Hohenberg equation with broken cubic-quintic nonlinearity

(2011) S. M. Houghton et al.   PHYSICAL REVIEW E

New Standing Solitary Waves in Water

(2011) Jean Rajchenbach et al.   PHYSICAL REVIEW LETTERS

Using Global Invariant Manifolds to Understand Metastability in the Burgers Equation with Small Viscosity

(2011) Margaret Beck et al.   SIAM REVIEW

Defect-mediated snaking: A new growth mechanism for localized structures

(2010) Y.-P. Ma et al.   PHYSICA D-NONLINEAR PHENOMENA

Snakes and Ladders: Localized Solutions of Plane Couette Flow

(2010) Tobias M. Schneider et al.   PHYSICAL REVIEW LETTERS

Swift-Hohenberg equation with broken reflection symmetry

(2009) J. Burke et al.   PHYSICAL REVIEW E

Spatially localized states in natural doubly diffusive convection

(2008) A. Bergeon et al.   PHYSICS OF FLUIDS