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Nonlocal symmetries related to Bäcklund transformation and their applications

Nonlocal symmetries related to Bäcklund transformation and their applications

Starting from nonlocal symmetries related to Bäcklund transformation (BT), many interesting results can be obtained. Taking the well-known potential KdV (pKdV) equation as an example, a new type of nonlocal symmetry in an elegant and compact form which comes from BT is presented and used to perform research works in …