Generation of a New Coupled Ultra-Short Pulse System from a Group Theoretical Viewpoint: the Cartan Ehresman Connection

• 来源期刊: 中国物理快报（英文版）
• 年，卷（期）: 2012,（2）
• 页码范围: 5-8
• 页数: 4页
• 语种: 英文
• DOI: 10.1088/0256-307X/29/2/020202

摘要

Based upon the group theoretical jet bundle formalism introduced by Wahlquist and Estabrook for discussing the complete integrability of soliton systems,we investigate the prolongation structure of Wadati-Konno-Ichikawa isospectral evolution equations.As a result,we unearth a new physical coupled system entailing a hidden structural symmetry SL(3,R) arising in the description of ultra-short pulse propagation in optical nonlinear media.As a matter of fact,we depict a graphical representation of one-breather and two-breather ultra-short pulses in motion with a non-zero angular momentum.By extending the previous study to multidimensional symmetry SL(n,R),we unearth a more general class of multicomponent coupled nonlinear ultra-short pulse system with its associated inverse scattering formulation particularly useful in soliton theory.