Hybrid Ermakoy-Painleye IV Systems

作者:Rogers Colin*
来源:Journal of Nonlinear Mathematical Physics, 2014, 21(4): 628-642.
DOI:10.1080/14029251.2014.975531

摘要

Ermakov-Painleve IV coupled systems are introduced and associated Ermakov-type invariants isolated. These invariants are used to obtain systematic reduction of the system in terms of the canonical Painleve IV equation. The procedure is applied to a Ermakov-Painleve IV symmetry reduction of a coupled derivative resonant nonlinear Schro dinger triad incorporating de Broglie-Bohm potential terms.

  • 出版日期2014

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