title: Secant-hyperbolic instability in a reaction-diffusion system.
abstract: We have shown that the nonlinearity of the chemical reaction may induce instability on a homogenous stable steady state of a one-component reaction-diffusion system characterized by a cubic polynomial source term. This results in a growth of an asymptotically approaching inhomogeneous spatial profile of secant-hyperbolic form reminiscent of a solitary wave.
authors.affiliation: Indian Association for the Cultivation of Science, Jadavpur, Kolkata 700 032, India.
authors.forename: Shrabani
authors.initials: S
authors.lastname: Sen
authors.forename: Deb Shankar
authors.initials: DS
authors.lastname: Ray