J. Han, C. He, and D.E. Pelinovsky
Algebraic solitons in the massive Thirring model
Physical Review E 110 (2024) 034202 (11 pages)
Abstract:
We present exact solutions describing dynamics of two algebraic solitons in
the massive Thirring model. Each algebraic soliton corresponds to a simple embedded
eigenvalue in the Kaup-Newell spectral problem and attains the maximal mass among
the family of solitary waves traveling with the same speed. By coalescence of speeds of
the two algebraic solitons, we find a new solution for an algebraic double-soliton which
corresponds to a double embedded eigenvalue. We show that the double-soliton attains
the double mass of a single soliton and describes a slow interaction of two identical
algebraic solitons.
Keywords:
massive Thirring model; algebraic solitons; rational solutions; Hirota bilinear equations;