21 citations · 54 across the 6 of their papers we have counts for
6 papers
Multidimensional Integrable Deformations of Integrable PDEs
Matteo Casati, Danda Zhang
In a recent series of papers by Lou et al., it was conjectured that higher dimensional integrable equations may be constructed by utilizing some conservation laws of (1 + 1)-dimens…
From auto-Bäcklund transformations to auto-Bäcklund transformations, and torqued ABS equations
Dan-da Zhang, Da-jun Zhang, Peter H. van der Kamp
We provide a method which takes an auto-Bäcklund transformation (auto-BT) and produces another auto-BT for a different equation. We apply the method to the natural auto-BTs for the…
Multi-Component Extension of CAC Systems
Dan-Da Zhang, Peter H. van der Kamp, Da-Jun Zhang
In this paper an approach to generate multi-dimensionally consistent -component systems is proposed. The approach starts from scalar multi-dimensionally consistent quadrilateral…
Addition formulae, Bäcklund transformations, periodic solutions and quadrilateral equations
Danda Zhang, Da-jun Zhang
Addition formulae of trigonometric and elliptic functions are used to generate Bäcklund transformations together with their connecting quadrilateral equations. As a result we obtai…
On decomposition of the ABS lattice equations and related Bäcklund transformations
Danda Zhang, Da-jun Zhang
The Adler-Bobenko-Suris (ABS) list contains all scalar quadrilateral equations which are consistent around the cube. Each equation in the ABS list admits a beautiful decomposition.…
Rational Solutions to the ABS List: Transformation Approach
Danda Zhang, Da-Jun Zhang
In the paper we derive rational solutions for the lattice potential modified Korteweg-de Vries equation, and Q2, Q1(), H3(), H2 and H1 in the Adler-Bobenko-Suris list. Bäcklu…