On a Novel Resonant Ermakov-NLS System: Painlevé Reduction
DOI10.1007/978-3-319-72456-0_49zbMath1405.35199OpenAlexW2804075622MaRDI QIDQ4611842
Wolfgang K. Schief, Colin Rogers
Publication date: 22 January 2019
Published in: Contemporary Computational Mathematics - A Celebration of the 80th Birthday of Ian Sloan (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/978-3-319-72456-0_49
positive solutionsBäcklund transformationwave packetcanonical Painlevé II equationErmakov-NLS systemErmakov-Painlevé II systemintegrable Painlevé XXXIV equation
PDEs in connection with optics and electromagnetic theory (35Q60) Completely integrable infinite-dimensional Hamiltonian and Lagrangian systems, integration methods, integrability tests, integrable hierarchies (KdV, KP, Toda, etc.) (37K10) Painlevé and other special ordinary differential equations in the complex domain; classification, hierarchies (34M55) NLS equations (nonlinear Schrödinger equations) (35Q55) Lasers, masers, optical bistability, nonlinear optics (78A60) Lie-Bäcklund and other transformations for infinite-dimensional Hamiltonian and Lagrangian systems (37K35) Positive solutions to PDEs (35B09)
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