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Published on: November 15, 2013
Algebraic solitons in the massive Thirring model
Jiaqi Han1, Cheng He2, Dmitry E Pelinovsky1
1Department of Mathematics and Statistics, <a href="https://ror.org/02fa3aq29">McMaster University</a>, Hamilton, Ontario, Canada L8S 4K1.
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.
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