Add to ORKGAbstract. From the constrained discrete KP (cdKP) hierarchy, the Ablowitz-Ladik lattice has been derived. By means of the gauge transformation, the Wronskian solution of the Ablowitz-Ladik lattice have been given. The u1 of the cdKP hierarchy is a Y-type soliton solution for odd times of the gauge transformation, but it becomes a dark-bright soliton solution for even times of the gauge transformation. The role of the discrete variable n in the profile of the u1 is discussed
The Hirota–Miwa equation can be written in 'nonlinear' form in two ways: the discrete KP equation an...
The reduction by restricting the spectral parameters k and $k^{\prime}$ on a generic algebraic curve...
The discrete complex Ginzburg-Landau (dCGL) equation describes solitons in multiple waveguide struct...
We find an interesting phenomenon that the discrete system appearing in a reference can be reduced t...
We present a discrete analogue of the so-called symmetry reduced or ‘constrained’ KP hierarchy. As a...
Using the determinant representation of gauge transformation operator, we have shown that the genera...
We present a novel approach to the Kadomtsev-Petviashvili (KP) hierarchy and its modified counterpar...
The Ablowitz-Ladik system, being one of the few integrable nonlinear lattices, admits a wide class o...
The discrete spectral problem of Ablowitz--Ladik is considered in the case in which the potential ha...
Abstract. We present a systematic approach to the construction of soliton solutions for the 5-reduct...
In this paper, we give the form of the q-cmKP hierarchy generated by the gauge transformation operat...
In this paper we present a set of results on the integration and on the symmetries of the lattice po...
We degenerate the finite gap solutions of the KdV equation from the general formulation in terms of ...
Box-ball system (BBS) is a discrete dynamical system which is expressed by movement of some kinds of...
We show that the multi-boson KP hierarchies possess a class of discrete symmetries linking them to d...
The Hirota–Miwa equation can be written in 'nonlinear' form in two ways: the discrete KP equation an...
The reduction by restricting the spectral parameters k and $k^{\prime}$ on a generic algebraic curve...
The discrete complex Ginzburg-Landau (dCGL) equation describes solitons in multiple waveguide struct...
We find an interesting phenomenon that the discrete system appearing in a reference can be reduced t...
We present a discrete analogue of the so-called symmetry reduced or ‘constrained’ KP hierarchy. As a...
Using the determinant representation of gauge transformation operator, we have shown that the genera...
We present a novel approach to the Kadomtsev-Petviashvili (KP) hierarchy and its modified counterpar...
The Ablowitz-Ladik system, being one of the few integrable nonlinear lattices, admits a wide class o...
The discrete spectral problem of Ablowitz--Ladik is considered in the case in which the potential ha...
Abstract. We present a systematic approach to the construction of soliton solutions for the 5-reduct...
In this paper, we give the form of the q-cmKP hierarchy generated by the gauge transformation operat...
In this paper we present a set of results on the integration and on the symmetries of the lattice po...
We degenerate the finite gap solutions of the KdV equation from the general formulation in terms of ...
Box-ball system (BBS) is a discrete dynamical system which is expressed by movement of some kinds of...
We show that the multi-boson KP hierarchies possess a class of discrete symmetries linking them to d...
The Hirota–Miwa equation can be written in 'nonlinear' form in two ways: the discrete KP equation an...
The reduction by restricting the spectral parameters k and $k^{\prime}$ on a generic algebraic curve...
The discrete complex Ginzburg-Landau (dCGL) equation describes solitons in multiple waveguide struct...