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The Higher-Order Short Pulse Equation

MAR 23, 2012 | 4:00 PM TO 6:00 PM

Details

WHERE:

The Graduate Center
365 Fifth Avenue

WHEN:

March 23, 2012: 4:00 PM-6:00 PM

ADMISSION:

Free

SPONSOR:

ITS Applied Mathematics

Description

Initiative for the Theoretical Sciences (ITS) sponsored Applied Mathematics Seminar

The Higher-Order Short Pulse Equation

We derive an equation, the higher-order short pulse equation (HSPE), from the nonlinear wave equation to capture the dynamics of ultra-short solitons in cubic nonlinear media using both multiple scaling technique and re-normalization group. The multiple scaling derivation will be presented. The numerical solution of the HSPE as the exact one- and two-soliton solutions of the short pulse equation (SPE) being the initial conditions and its comparison to the numerical solutions of the SPE and original equation will also be demonstrated.