Reduced Non-Local Integrable NLS Hierarchies by Pairs of Local and Non-Local Constraints

We conduct three pairs of local and non-local group constraints for the Ablowitz-Kaup-Newell-Segur matrix eigenvalue problems and generate three reduced non-local integrable nonlinear Schrödinger (NLS) hierarchies. All resulting non-local equations possess infinitely many Lie-Bäcklund symmetries and...

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Bibliographic Details
Published inInternational journal of applied and computational mathematics Vol. 8; no. 4
Main Author Ma, Wen-Xiu
Format Journal Article
LanguageEnglish
Published New Delhi Springer India 01.08.2022
Springer Nature B.V
Subjects
Applications of Mathematics
Applied mathematics
Computational mathematics
Computational Science and Engineering
Conservation laws
Eigenvalues
Hierarchies
Mathematical and Computational Physics
Mathematical Modeling and Industrial Mathematics
Mathematics
Mathematics and Statistics
Nuclear Energy
Operations Research/Decision Theory
Original Paper
Theoretical
35Q55
37K15
37K40
Matrix eigenvalue problem
Non-local group constraint
Integrable hierarchy
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ISSN2349-5103
2199-5796
DOI10.1007/s40819-022-01422-1

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Summary:We conduct three pairs of local and non-local group constraints for the Ablowitz-Kaup-Newell-Segur matrix eigenvalue problems and generate three reduced non-local integrable nonlinear Schrödinger (NLS) hierarchies. All resulting non-local equations possess infinitely many Lie-Bäcklund symmetries and conservation laws expressed in terms of differential functions of potentials.
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ISSN:2349-5103
2199-5796
DOI:10.1007/s40819-022-01422-1