title: Self-organization of two-dimensional waves in an active dispersive-dissipative nonlinear medium.
abstract: We consider the pattern-formation dynamics of a two-dimensional (2D) nonlinear evolution equation that includes the effects of instability, dissipation, and dispersion. We construct 2D stationary solitary pulse solutions of this equation, and we develop a coherent structures theory that describes the weak interaction of these pulses. We show that in the strongly dispersive case, 2D pulses organize themselves into V shapes. Our theoretical findings are in good agreement with time-dependent computations of the fully nonlinear system.
authors.affiliation: Department of Chemical Engineering, Imperial College, London SW7 2AZ, United Kingdom.
authors.forename: Sergey
authors.initials: S
authors.lastname: Saprykin
authors.forename: Evgeny A
authors.initials: EA
authors.lastname: Demekhin
authors.forename: Serafim
authors.initials: S
authors.lastname: Kalliadasis