An extensive though by far not entirely systematic discussion of
multiple aspects of (often, just special or particular) solutions of
a six-parametric non-linear partial difference-differential
classical evolution equation (1) unifying its twelve more or less
popular subcases. The difficult-to-read twenty lines of the original
abstract as well as the four pages of Introduction and the three
pages of Conclusions are full of abbreviations (even the nested
ones: e.g., the key concept of ED models meaning exceptional
discrete models defined as models supporting the TI [= translation
invariant] static solutions). The authors often refer to an
unpublished longer older version of their text (see reference [38]
dated 2007) and they promise to address further issues in a
forthcoming publication. Many topics (like numerical questions and
kinks or conservation laws or factorizability or JEF [to be read NOT
as ``Jacobi elliptic function" but rather as ``basic Jacobi elliptic
function"] solutions) are touched but not too many clear and
sufficiently nontrivial answers are offered.


MR2539246 Khare, Avinash; Dmitriev, Sergey V.; Saxena, Avadh Exact
static solutions of a generalized discrete $\phi\sp 4$ model
including short-periodic solutions. J. Phys. A 42 (2009), no. 14,
145204, 23 pp. 81T10