Nonlocal symmetries related to Bäcklund transformation and their applications

• Published in: Journal of physics. A, Mathematical and theoretical Vol. 45; no. 15; pp. 155209 - 14
• Main Authors: Lou, S Y, Hu, Xiaorui, Chen, Yong
• Format: Journal Article
• Language: English
• Published: Bristol IOP Publishing 20.04.2012; IOP
• Subjects: Backlund transformation; Equivalence; Exact sciences and technology; explicit solution; Group theory; Invariants; Mathematical analysis; Mathematical models; nonlocal symmetry; Physics; potential KdV equation; Symmetry; Transformations (mathematics); Korteweg-de Vries equation; Invariant; Models; Infinite dimension; Backlund transformation

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...