DEEP REDUCTION OF DARBOUX TRANSFORMATION TO A3×3 SPECTRAL PROBLEM 被引量：5

DEEP REDUCTION OF DARBOUX TRANSFORMATION TO A3×3 SPECTRAL PROBLEM

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摘要 The Darboux transformation of a 3 × 3 spectral problem which is associated with the higherorder nonlinear Schrodinger equation is given. Some solutions of the higher-order nonlinear Schrodinger equation are provided by taking different "seeds".

作者 LIYISHEN HANWENTING

机构地区 DepartmentofMathematicsandCenterofNonlinearScience DepartmentofComputerScience

出处《Chinese Annals of Mathematics,Series B》 SCIE CSCD 2001年第2期171-176,共6页 数学年刊（B辑英文版）

基金 Project supported by the National Basic Aesearch Project of Nonlinear Science (No.HH4712),and the Ministry of Education of Chi

关键词 Darboux transformation Higher-order nonlinear Schrodiner equation Deep reduction 达布变换非线性薛定谔方程线性独立解化简

分类号 O175.2 [理学—基础数学]

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参考文献6

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同被引文献12

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2傅夕联.两类等谱问题及其应用[J].兰州理工大学学报,2008,34(1):156-159.
3孙业朋,徐西祥.一族可积孤子方程的Darboux变换与类孤子解[J].青岛海洋大学学报（自然科学版）,2003,33(5):809-814.
4Rui Fan,Fajun Yu.COUPLED NONLOCAL NONLINEAR SCHR?DINGER EQUATION AND N-SOLITON SOLUTION FORMULA WITH DARBOUX TRANSFORMATION[J].Annals of Applied Mathematics,2019,35(1):47-62. 被引量：1
5杨洪祥,徐西祥,郭政.多变元AKNS系统的N-波达布变换与精确解[J].曲阜师范大学学报（自然科学版）,2004,30(3):29-34. 被引量：3

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2杨洪祥,贾贞锋,朱莉莉.新的Lax可积方程族及其无限维双-Hamilton结构[J].泰山学院学报,2005,27(6):5-7.
3关红阳.耦合的GMNLS方程的Darboux变换和新孤子解[J].洛阳大学学报,2007,22(2):34-39.
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5刘春萍,李丽.Kundu-Eckhaus方程的N阶达布变换和精确解[J].平顶山学院学报,2021,36(2):11-18.

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Chinese Annals of Mathematics,Series B

2001年第2期

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DEEP REDUCTION OF DARBOUX TRANSFORMATION TO A3×3 SPECTRAL PROBLEM 被引量：5

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