Numerical Analysis Seminars: Travelling waves in discrete systems
14 February 2014 14:15 in CM105
In this talk, we will consider travelling waves in discrete systems. There are two models that will be discussed, i.e. coupled oscillators modelling a one-dimensional array of metamaterials and a discrete nonlinear Schrodinger equation modelling arrays of waveguides. In the first part of the talk, we will present the existence and uniqueness of periodic and asymptotic travelling waves in the first system. In the second part of the talk, we will discuss the second equation and informally study the existence of homoclinic orbits to saddle-points of the corresponding advance-delay equation, which are commonly referred to as embedded solitons.
Note the slightly later start time.
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