COUPLED SINE-GORDON EQUATIONS AS NONLINEAR SECOND ORDER EVOLUTION EQUATIONS
نویسندگان
چکیده
منابع مشابه
, mKdV , SINE - GORDON SOLITON EQUATIONS
A bi-Hamiltonian hierarchy of complex vector soliton equations is derived from geometric flows of non-stretching curves in the Lie groups G = SO(N + 1), SU(N) ⊂ U(N), generalizing previous work on integrable curve flows in Riemannian symmetric spaces G/SO(N). The derivation uses a parallel frame and connection along the curves, involving the Klein geometry of the group G. This is shown to yield...
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Qian Wan and Ti-Jun Xiao Shanghai Key Laboratory for Contemporary Applied Mathematics, School of Mathematical Sciences, Fudan University, Shanghai 200433, China Correspondence should be addressed to Ti-Jun Xiao, [email protected] Received 30 October 2010; Accepted 21 November 2010 Academic Editor: Toka Diagana Copyright q 2011 Q. Wan and T.-J. Xiao. This is an open access article distributed u...
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ژورنال
عنوان ژورنال: Taiwanese Journal of Mathematics
سال: 2001
ISSN: 1027-5487
DOI: 10.11650/twjm/1500407338