Symmetries of the D\(\Delta\)mKP hierarchy and their continuum limits

KdV equations (Korteweg-de Vries equations) (35Q53) NLS equations (nonlinear Schrödinger equations) (35Q55) Soliton equations (35Q51) Geometric theory, characteristics, transformations in context of PDEs (35A30) Lattice dynamics; integrable lattice equations (37K60)

Cites Work

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Darboux transformations and recursion operators for differential-difference equations
Nonlinearization of the Lax system for AKNS hierarchy
Symplectic structures, their Bäcklund transformations and hereditary symmetries
On a new hierarchy of symmetries for the Kadomtsev-Petviashvili equation
Additional symmetries of the nonlinear Schrödinger equation
On the continuous limit of integrable lattices. I: The Kac-Moerbeke system and KdV theory
Lie algebraic structures of some (1+2)-dimensional Lax integrable systems.
Additional symmetries for integrable equations and conformal algebra representation
Faces of Relativistic Toda Chain
Lax Triad Approach to Symmetries of Scalar Modified Kadomtsev–Petviashvili Hierarchy
Symmetries for the Ablowitz-Ladik Hierarchy: Part II. Integrable Discrete Nonlinear Schrödinger Equations and Discrete AKNS Hierarchy
The AKNS hierarchy as symmetry constraint of the KP hierarchy
Method for Generating Discrete Soliton Equations. IV
Bäcklund transformations and nonlinear differential difference equations
Nonlinear differential−difference equations
A novel hierarchy of integrable lattices
Integrable discretizations of derivative nonlinear Schr dinger equations
Some General Formulas in the Sato Theory
Algebraic structure of discrete zero curvature equations and master symmetries of discrete evolution equations
Lie algebraic structures of (1+1)-dimensional Lax integrable systems
k-constraint for the modified Kadomtsev–Petviashvili system
Explicit auto-transformations of integrable chains
Squared eigenfunction symmetry of the DmKP hierarchy and its constraint
Continuous Correspondence of Conservation Laws of the Semi-discrete AKNS System
Symmetry Constraint of the Differential-difference KP Hierarchy and a Second Discretization of the ZS-AKNS System
Integrability properties of the differential-difference Kadomtsev–Petviashvili hierarchy and continuum limits
Algebro-geometric solutions to the lattice potential modified Kadomtsev–Petviashvili equation

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