基于达布变换的带三角势的Gross Pitaevskii方程的孤子解

doi:10.3976/j.issn.1002-4026.2022.03.014

Abstract

Abstract:

Herein, a class of Gross Pitaevskii (GP) equations with a trigonometric potential is studied. First, the Lax pair of GP equations is obtained. Second, the n-th Darboux transformation of the equations is provided and the n-soliton solution is obtained. Third, by selecting a zero seed solution, specific expressions of the single soliton solution and double soliton solution of the equations are obtained. Subsequently, Matlab is used to analyze the properties of the single and double soliton solutions, focusing on the influence of changes in parameters on the soliton.

Key words: :Gross Pitaevskii equations with trigonometric potential, Bose-Einstein condensation, Lax pair, Darboux transformation, soliton solution

CLC Number:

LIU Shu-li,ZHANG Jin-yu,LI Chun-hui,WANG Xiao-li. Soliton solutions of Gross Pitaevskii equations with trigonometric potential via Darboux transformation[J].Shandong Science, 2022, 35(3): 115-122.

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Soliton solutions of Gross Pitaevskii equations with trigonometric potential via Darboux transformation

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