In recent years the usefulness of fast Laplace solvers has been extended to problems on arbitrary regions in the plane by the development of capacitance matrix methods. The solution of the Dirichlet ...

In this, the first of two papers, we show how Hirota's bilinear transform method can be used to obtain analytic solutions of the Camassa-Holm equation. A bilinear form of the Camassa-Holm equation is ...