Integrable systems from inelastic curve flows in 2– and 3– dimensional Minkowski space

AbstractIntegrable systems are derived from inelastic flows of timelike, spacelike, and null curves in 2– 3– dimensional Minkowski space. The derivation uses a Lorentzian version geometrical moving frame method which is known to yield the modified Korteveg-de Vries (mKdV) equation nonlinear Schrodinger (NLS) Euclidean space, respectively. In 2–dimensional timelike/spacelike curve shown defocusing mKdV its bi-Hamiltonian integrability structure, while give rise Burgers’ symmetry structure. 3–dimensional complex NLS along with their structures obtained timelike flows, whereas spacelike an interesting variant these two integrable equations numbers replace...