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	Periodic and homoclinic solutions of the modified 2+1 chiral model
	Dai, B ; Terng, CL
	2005
关键词	CLASSICAL-SOLUTIONS HARMONIC MAPS WAVE MAPS ORBITS SPACES
英文摘要	We use algebraic Backlund transformations (BTs) to construct explicit solutions of the modified 2+1 chiral model from T(2)xR to SU(n), where T-2 is a 2-torus. Algebraic BTs are parametrized by z is an element of C (poles) and holomorphic maps pi from T-2 to Gr(k,C-n). We apply Backlund transformations with carefully chosen poles and pi's to construct infinitely many solutions of the 2+1 chiral model that are (i) doubly periodic in space variables and periodic in time, i.e., triply periodic, (ii) homoclinic in the sense that the solution u has the same stationary limit u(0) as t ->+/-infinity and is tangent to a stable linear mode of u(0) as t ->infinity and is tangent to an unstable mode of u(0) as t ->-infinity. (C) 2005 American Institute of Physics.; Physics, Mathematical; SCI(E); 1; ARTICLE; 6; 46
语种	英语
出处	SCI
出版者	数学物理杂志
内容类型	其他
源URL	[http://hdl.handle.net/20.500.11897/157937]
专题	数学科学学院
推荐引用方式 GB/T 7714	Dai, B,Terng, CL. Periodic and homoclinic solutions of the modified 2+1 chiral model. 2005-01-01.

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