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Local well-posedness for the Sixth-Order Boussinesq Equation
Local well-posedness Sixth-Order Boussinesq Equation
2011/2/25
This work studies the local well-posedness of the initial-value problem for the nonlinear sixth-order Boussinesq equation utt = uxx + uxxxx + uxxxxxx + (u2)xx, where = ±1. We prove local well-posed...
Global attractors for the one dimensional wave equation with displacement dependent damping
Attractors wave equations
2011/2/24
We study the long-time behavior of solutions of the one dimensional wave equation with nonlinear damping coefficient. We prove that if the damping coefficient function is strictly
positive near the o...
Properties of the 1/cosh(t) Laser Pulse, Supersymmetry, and the sine-Gordon Equation
Properties of the 1/cosh(t) Laser Pulse Supersymmetry sine-Gordon Equation
2011/1/21
In this Letter, we explain a well-known but little understood effect in Laser Physics: when a
two-level atom, initially in the ground state, is subjected to a 1/ cosh(t) laser pulse, it remains in th...