Multi-(Resonant-Soliton)-Soliton Solutions an Vortex-Like Solutions to Two- and Three-Dimensional Sine-Gordon 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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ژورنال
عنوان ژورنال: Progress of Theoretical Physics
سال: 1982
ISSN: 0033-068X,1347-4081
DOI: 10.1143/ptp.68.992