Families of Integrable Equations

[摘要] We present a method to obtain families of lattice equations. Specifically we focus on two of such families, which include 3-parameters and their members are connected through Bäcklund transformations. At least one of the members of each family is integrable, hence the whole family inherits some integrability properties.

[关键词] integrable lattice equations;Yang–Baxter maps;consistency around the cube