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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