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Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
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Abstract
In recent years, more and more scholars use Darboux transform(DT) method to solve soliton equation, which become a hot topic in soliton theory. In this paper, the exact solutions of generalized nonlinear Schrödinger(GNLS) equation are obtained by using DT. We derive some expressions for 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.
Title: Soliton solution, breather solution and rational wave solution for a generalized nonlinear Schrödinger equation with Darboux transformation
Description:
Abstract
In recent years, more and more scholars use Darboux transform(DT) method to solve soliton equation, which become a hot topic in soliton theory.
In this paper, the exact solutions of generalized nonlinear Schrödinger(GNLS) equation are obtained by using DT.
We derive some expressions for 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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