Stability of solitonic solutions of Super KdV equations under Susy breaking conditions
A. Restuccia, A. Sotomayor
TL;DR
This paper introduces a supersymmetric breaking method for N=1 Super KdV equations that maintains solitonic solutions and Hamiltonian positivity, resulting in an integrable system with favorable stability characteristics.
Contribution
A novel supersymmetric breaking procedure for N=1 Super KdV that preserves key properties and stability of solitonic solutions.
Findings
The breaking preserves solitonic solutions.
The resulting system remains integrable.
The system exhibits good stability properties.
Abstract
A supersymmetric breaking procedure for N=1 Super KdV, preserving the positivity of the hamiltonian as well as the existence of solitonic solutions, is implemented. The resulting integrable system is shown to have nice stability properties.
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Taxonomy
TopicsNonlinear Waves and Solitons · Numerical methods for differential equations · Advanced Mathematical Physics Problems