Dispersive shock waves (DSWs) represent a class of nonlinear wave phenomena in which phase dispersion, rather than viscosity or dissipation, governs the evolution of abrupt changes in a medium. Unlike ...

The initial-boundary value problem for a nonlinear dispersive system with time-dependent boundary condition is discussed in the Sobolev space H1 from the point of view of the theory of nonlinear ...

This is a preview. Log in through your library . Abstract We generalize the Abstract Interpolation Lemma proved by the authors in Carvajal and Neves (2010). Using this extension, we show in a more ...

Computing traveling wave solutions of the fifth order Korteweg-de Vries equation through Whitham theory Whitham modulation theory is a useful tool for describing the adiabatic evolution of periodic ...