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Hylomorphic solitons and their dynamics.
Dark soliton formation in mode-locked lasers is investigated by means of a power-energy saturation model which incorporates gain and filtering saturated with energy, and loss saturated with power. It ...
We exhibit a static, cylindrically symmetric, exact solution to the Euler-Heisenberg eld
equations (EHFE) and prove that its e ective geometry contains (optical) black holes. It
is conjectured that...
The KP-II equation possesses a class of line soliton solutions which can be qualitatively described via a tropical approximation as a chain of rooted binary trees, except at“critical” events where a t...
Solitons, shockwaves and spikes: Computational simulation of nonlinear waves on lattice
soliton shockwave spikes
2010/9/17
In this paper, we systematically find computational solutions to a class of differential equation systems which exhibit nonlinear wave behavior. After discretizing the nonlinear partial differential e...
Modelling shocks and solitons with a modified third order high resolution semi-discrete scheme for soliton and shock wave simulations
Semi-discrete hyperbolic solitons shock wave
2010/9/15
The Kurganov and Levy scheme [SIAM J.Sci.Comput.22, p1467,2000] which is a semi-discrete numerical solution of hyperbolic systems is applied to the system of one dimensional electrostatic fluid equati...