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Infinitely many nonlocal symmetries and conservation laws of the(1+1)-dimensional Sine-Gordon (SG) equation are derived in terms of itsB\"acklund transformation (BT). Some special nonlocal symmetries and nonlocalconservation laws are obtained from the linearized equations of the SG equationand its BT. Furthermore, one can derive infinitely many nonlocal symmetriesfrom a known nonlocal symmetry, but also infinitely many nonlocal conservationlaws from a known nonlocal conservation law. In addition, infinitely many localand nonlocal conservation laws can be directed generated from BT through theparameter expansion procedure.

Infinitely many nonlocal symmetries and conservation laws for the (1+1)-dimensional Sine-Gordon equation