Large-time asymptotic properties of solutions to a class of semilinear stochastic wave equations with damping in a bounded domain are considered. First an energy inequality and the exponential bound ...

The Laguerre–Gaussian (LG) modes belong to a well-studied family of beams carrying orbital angular momentum (OAM). They have a helical phase structure and carry an OAM that can take any integer value.

We analyze a heuristic numerical method suggested by V.I. Petviashvili in 1976 for approximation of stationary solutions of nonlinear wave equations. The method is used to construct numerically the ...