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Updated: Jul 27, 2025

Generation and Coherent Control of Pulsed Quantum Frequency Combs
Published on: June 8, 2018
Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with
Chengcheng Fan1, Li Li2, Fajun Yu1
1School of Mathematics and Systematic Sciences, Shenyang Normal University, Shenyang, 110034, China.
Abstract:
In this paper, the exact solutions of generalized nonlinear Schrödinger (GNLS) equation are obtained by using Darboux transformation(DT). We derive some expressions of the 1-solitons, 2-solitons and n-soliton solutions of the GNLS equation via constructing special Lax pairs. And we choose different seed solutions and solve the GNLS equation to obtain the soliton solutions, breather solutions and rational wave solutions. Based on these obtained solutions, we consider the elastic interactions and dynamics between two solitons.
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