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Title: Integrable Rosochatius deformations of the restricted soliton flows

Journal Article · · Journal of Mathematical Physics
DOI:https://doi.org/10.1063/1.2799263· OSTI ID:21013738
 [1]
  1. School of Mathematical Science, Xuzhou Normal University, Xuzhou 221116 (China)

A method to construct integrable Rosochatius deformations of the restricted soliton flows in the setup of Lax formulation is presented. The integrable Rosochatius deformations of the restricted soliton flows such as the restricted Ablowitz-Kaup-Newell-Segur flow, the restricted Tu-Meng flow, the restricted Tu flow with Neumann-type constraints, and the restricted modified Korteweg-de Vries flow, together with their Lax representations, are presented. In addition, a Lax representation of the Jacobi-Rosochatius system is obtained.

OSTI ID:
21013738
Journal Information:
Journal of Mathematical Physics, Vol. 48, Issue 10; Other Information: DOI: 10.1063/1.2799263; (c) 2007 American Institute of Physics; Country of input: International Atomic Energy Agency (IAEA); ISSN 0022-2488
Country of Publication:
United States
Language:
English