Allowable graphs of the nonlinear Schrödinger equation and their applications

DOI10.1007/S12044-017-0364-1zbMath1379.05055OpenAlexW2770602835MaRDI QIDQ1693660

Bich Van Nguyen

Publication date: 31 January 2018

Published in: Proceedings of the Indian Academy of Sciences. Mathematical Sciences (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12044-017-0364-1

zbMATH Keywords

eigenvaluecharacteristic polynomialpositive semi-definitenon-linear Schrödinger equation

Mathematics Subject Classification ID

Algebraic combinatorics (05E99) Graphs and abstract algebra (groups, rings, fields, etc.) (05C25) Graphs and linear algebra (matrices, eigenvalues, etc.) (05C50) Eigenvalues, singular values, and eigenvectors (15A18) Basic linear algebra (15A99)

Cites Work

• Reducible quasi-periodic solutions for the non linear Schrödinger equation
• The energy graph of the non-linear Schrödinger equation
• A normal form for the Schrödinger equation with analytic non-linearities
• On a separation and irreducibility problem of polynomials arising from the nonlinear Schrödinger equation

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