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nlin.SI2025
Elliptic solutions of the lattice CKP equation and its elliptic direct linearisation scheme
Ying-ying Sun, Da-jun Zhang, Frank Nijhoff
A direct linearisation scheme, based on an elliptic Cauchy kernel, is set up for the lattice CKP equation. This leads to an elliptic parametrisation of the lattice CKP equation, to…
nlin.SI2025
The direct linearization scheme with the Lamé function: The KP equation and reductions
Xing Li, Ying-ying Sun, Da-jun Zhang
The paper starts from establishing an elliptic direct linearization (DL) scheme for the Kadomtsev-Petviashvili equation. The scheme consists of an integral equation (involving the…