Skip to main content
U.S. Department of Energy
Office of Scientific and Technical Information

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, Journal Name: Journal of Mathematical Physics Journal Issue: 10 Vol. 48; ISSN JMAPAQ; ISSN 0022-2488
Country of Publication:
United States
Language:
English

Similar Records

Baecklund transformation, Lax pair, and solutions for the Caudrey-Dodd-Gibbon equation
Journal Article · Fri Jan 14 23:00:00 EST 2011 · Journal of Mathematical Physics · OSTI ID:21501254

AKNS hierarchy, Darboux transformation and conservation laws of the 1D nonautonomous nonlinear Schroedinger equations
Journal Article · Fri Apr 15 00:00:00 EDT 2011 · Journal of Mathematical Physics · OSTI ID:21501310

Nonlinear tunneling of optical soliton in 3 coupled NLS equation with symbolic computation
Journal Article · Tue Jul 15 00:00:00 EDT 2014 · Annals of Physics (New York) · OSTI ID:22314827