The Klein-Gordon equation on the half line: a Riemann-Hilbert approach

We solve an initial-boundary problem for the Klein-Gordon equation on the half line using the Riemann-Hilbert approach to solving linear boundary value problems advocated by Fokas. The approach we present can be also used to solve more complicated boundary value problems for this equation, such as problems posed on time-dependent domains. Furthermore, it can be extended to treat integrable nonlinearisations of the Klein-Gordon equation. In this respect, we briefly discuss how our results could motivate a novel treatment of the sine-Gordon equation.

Utopia and education in the seventeenth century: Bacon’s 'Salomon’s House' and its influence

New Worlds Reflected provides a significant contribution both to the history of utopian literature and travel, and to the wider cultural and intellectual history of the time, assembling original essays from scholars interested in representations of the globe and new and ideal worlds in the period from the sixteenth to eighteenth centuries, and in the imaginative reciprocal responsiveness of utopian and travel writing. Chapter 7 looks at the influence of Salomon’s House in Francis Bacon’s New Atlantis (1627) on later seventeenth-century educational utopias.