Nonlinear evolution equations associated with the Schrödinger spectral problem

DOI10.1016/J.CHAOS.2017.05.006zbMath1373.35208OpenAlexW2612035647MaRDI QIDQ1674360

Marek Jaworski

Publication date: 2 November 2017

Published in: Chaos, Solitons and Fractals (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.chaos.2017.05.006

zbMATH Keywords

Schrödinger equationnonlinear evolution equationsLax pair

Mathematics Subject Classification ID

General topics in linear spectral theory for PDEs (35P05) PDEs in connection with quantum mechanics (35Q40) Selfadjoint operator theory in quantum theory, including spectral analysis (81Q10)

Cites Work

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• Inverse scattering method with variable spectral parameter
• Algebraic construction of the Darboux matrix revisited
• The inverse scattering transform: Semi-infinite interval
• Integrals of nonlinear equations of evolution and solitary waves

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