This paper proposes a split cosine scheme for simulating solitary solutions of the sine-
Gordon equation in two dimensions, as it arises, for instance, in rectangular large-area …

In this paper we explore arbitrarily high-order Lagrange collocation-type time-stepping
schemes for effectively solving high-dimensional nonlinear Klein–Gordon equations with …

Developments in numerical methods for problems governed by nonlinear partial differential
equations underpin simulations with sound arguments in diverse areas of science and …

The nonlinear processes of supratransmission and infratransmission are employed here in
order to show numerically that binary information may be transmitted into (2+ 1) …

The problem of controlling the propagation of moving breathers in semi-infinite discrete
mechanical lattices in two dimensions is tackled here. Nonlinear supratransmission is …

In this paper, an energy-conservation scheme is derived and analysed for solving
Hamiltonian wave equations subject to Neumann boundary conditions in two dimensions …

In this work, we show that an adequate modulation of the driving amplitude in an
anharmonic chain results in an efficient transmission of binary information. The nonlinear …

In this thesis, we present a numerical method for the nonlinear Klein-Gordon equation and
two numerical methods for studying solutions of the Klein-Gordon-Schrödinger equations …

This chapter presents arbitrarily high-order time-stepping schemes for solving high-
dimensional nonlinear Klein–Gordon equations with different boundary conditions. We first …