Stochastic nonlinear wave equations and Schrödinger equations represent a fascinating confluence of probability theory and the analysis of partial differential equations. By incorporating random ...

Time-domain finite-difference (TDFD) method is the most dominant approach for seismic wavefield simulation. Due to the memory and computational cost of the computer, finite-difference (FD) simulations ...

In the fields of physics, mathematics, and engineering, partial differential equations (PDEs) are essential for modeling various phenomena, from heat diffusion to particle motion and wave propagation.

This is a preview. Log in through your library . Abstract We demonstrate the existence of periodic traveling wave train and traveling front solutions for a diffusive predator-prey system. The analysis ...

- Solitons and the Inverse Scattering Transform, SIAM, Philadelphia, 425 pp., with M.J. Ablowitz, 1981 (also translated and published in Russian and in Japanese ...