Generating a New Higher-Dimensional Ultra-Short Pulse System: Lie-Algebra Valued Connection and Hidden Structural Symmetries  

作　　者：Hermann T.Tchokouansi Victor K.Kuetche Abbagari Souleymanou Thomas B.Bouetou Timoleon C.Kofane 

机构地区：[1]National Advanced School of Engineering,University of Yaounde I,P.O.Box 8390,Cameroon [2]Department of Physics,Faculty of Science,University of Yaounde I,P.O.Box 812,Cameroon [3]Department of Mathematics,Faculty of Science,University of Yaounde I,P.O.Box 812,Cameroon

出　　处：《Chinese Physics Letters》2012年第2期29-32,共4页中国物理快报（英文版）

摘　　要：We carry out the hidden structural symmetries embedded within a system comprising ultra-short pulses which propagate in optical nonlinear media.Based upon the Wahlquist Estabrook approach,we construct the Liealgebra valued connections associated to the previous symmetries while deriving their corresponding Lax-pairs,which are particularly useful in soliton theory.In the wake of previous results,we extend the above prolongation scheme to higher-dimensional systems from which a new (2+ 1)-dimensional ultra-short pulse equation is unveiled along with its inverse scattering formulation,the application of which are straightforward in nonlinear optics where an additional propagating dimension deserves some attention.

关 键 词：theory nonlinear STRAIGHT 

分 类 号：O17[理学—数学]