Long-time asymptotics for an integrable evolution equation with a $3\times 3$ Lax pair

Abstract

We derive a Riemann--Hilbert representation for the solution of an integrable nonlinear evolution equation with a $3\times 3$ Lax pair. We use the derived representation to obtain formulas for the long-time asymptotics.

21 pages, 2 figures. arXiv admin note: text overlap with arXiv:2003.02777