The (2+1)‐dimensional Schwarzian Korteweg–de Vries equation and its generalizations with discrete Lax matrices
Weifang Liu,
Cewen Cao,
Xiao Yang
et al.
Abstract:By using the discrete Lax matrices corresponding to
and
in the Adler–Bobenko–Suris list of quadrilateral lattice equations, we establish solutions of the (2+1)‐dimensional Schwarzian Korteweg–de Vries (SKdV) equation and its generalizations. According to the structure of integrable Hamiltonian systems provided by one discrete Lax matrix for the
lattice, we construct a novel Lax representation for the (2+1)‐dimensional SKdV equation. On the basis of the Riemann surface and elliptic variables, the Hamilton… Show more
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