Solitons on a finite-gap background in Bullough-Dodd-Jiber-Shabat model

TL;DR

This paper derives a determinant formula for N-soliton solutions of the Bullough-Dodd-Jiber-Shabat equation on finite-gap backgrounds, analyzing their nonsingularity conditions and asymptotic behavior.

Contribution

It provides the first explicit determinant formula for multi-soliton solutions on finite-gap backgrounds in this integrable model.

Findings

Explicit determinant formula for N-soliton solutions

Conditions for nonsingularity of solutions

Asymptotic analysis of soliton solutions

Abstract

The determinant formula for N-soliton solutions of the Bullough-Dodd-Jiber-Shabat equation on a finite-gap background is obtained. Nonsingularity conditions for them and their asymptotics are investigated.