Families of Integrable Equations

Details Families of Integrable Equations Families of Integrable Equations

2011-06-03

arxiv.org/abs/1106.0636v3

SIGMA 7 (2011), 100, 14 pages

Nonlinear Sciences

Exactly Solvable and Integrable Systems

Scientific paper

10.3842/SIGMA.2011.100

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 B\"acklund transformations. At least one of the members of
each family is integrable, hence the whole family inherits some integrability
properties.

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