Marina Chugunova's Abstract

 

Claremont Mathematics Weekend

 

Sponsored by Claremont Colleges

 

January 30 - 31, 2016

 

Speaker: Marina Chugunova
Title: Two-Pulse Solutions in the Fifth-Order KdV Equation
Abstract:

Using Pontryagin space structure we show spectral stability of the two-pulse solutions for fifth-order KdV. Eigenvalues of the linearized problem are approximated numerically in exponentially weighted spaces where embedded eigenvalues are isolated from the continuous spectrum. Approximations of eigenvalues and full numerical simulations of the fifth-order KdV equation confirm stability of two-pulse solutions associated with the minima of the effective interaction potential and instability of two-pulse solutions associated with the maxima points.