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 ...

Nonlinear Evolution Equation presents state-of-the-art theories and results on nonlinear evolution equation, showing related mathematical methods and applications. The basic concepts and research ...

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 ...

In this paper it is shown that under specified conditions on the initial data a certain infinite coupled system of ordinary differential equations has a solution satisfying an auxiliary convergence ...

Disclaimer: AAAS and EurekAlert! are not responsible for the accuracy of news releases posted to EurekAlert! by contributing institutions or for the use of any information through the EurekAlert ...