A fast method to simulate travelling waves in nonhomogeneous chemical or biological media
A generalized Petviashvili iteration method for scalar and vector Hamiltonian equations with arbitrary form of nonlinearity
A host of traveling waves in a model of three-dimensional water-wave dynamics
A KdV-like advection-dispersion equation with some remarkable properties
A kinetic approach to Bose-Einstein condensates: self-phase modulation and Bogoliubov oscillations
A Kink Soliton Characterizing Traffic Congestion
A linear reformulation of the Kuramoto model of self-synchronizing oscillators
A Mechanism for Spatio-Temporal Disorder in Bistable Reaction-Diffusion Systems
A method to discern complexity in two-dimensional patterns generated by coupled map lattices
A mode elimination technique to improve convergence of iteration methods for finding solitary waves
A model for interacting instabilities and texture dynamics of patterns
A moving boundary model motivated by electric breakdown: II. Initial value problem
A moving boundary problem motivated by electric breakdown: I. Spectrum of linear perturbations
A New Class of Nonsingular Exact Solutions for Laplacian Pattern Formation
A new criterion for the existence of KdV solitons in ferromagnets
A new instability for finite Prandtl number rotating convection with free-slip boundary conditions
A New Type of Traveling Interface Modulations in a Catalytic Surface Reaction
A normal form for excitable media
A Path Integral Method for Coarse-Graining Noise in Stochastic Differential Equations with Multiple Time Scales
A Phase Front Instability in Periodically Forced Oscillatory Systems