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Chapter and Conference Paper
Nonsingular Rational Solutions to Integrable Models
In the literature, there have been considerable interests in the study of nonsingular rational solutions for nonlinear integrable models. These nonsingular rational solutions have appeared with different names...
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Article
The modified semi-discrete two-dimensional Toda lattice with self-consistent sources
In this paper, we derive the Grammian determinant solutions to the modified semi-discrete two-dimensional Toda lattice equation, and then construct the semi-discrete two-dimensional Toda lattice equation with ...
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Article
Open AccessThe modified two-dimensional Toda lattice with self-consistent sources
In this paper, we derive the Grammian determinant solutions to the modified two-dimensional Toda lattice, and then we construct the modified two-dimensional Toda lattice with self-consistent sources via the so...
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Article
Open AccessOn the modified discrete KP equation with self-consistent sources
The modified discrete KP equation is the Bäcklund transformation for the Hirota’s discrete KP equation or the Hirota-Miwa equation. We construct the modified discrete KP equation with self-consistent sources v...
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Article
Discrete three-dimensional three wave interaction equation with self-consistent sources
A discrete three-dimensional three wave interaction equation with self-consistent sources is constructed using the source generation procedure. The algebraic structure of the resulting fully discrete system is...
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Article
Open AccessOn a integrable deformations of Heisenberg supermagnetic model
The Heisenberg supermagnet model which is the supersymmetric generalization of the Heisenberg ferro-magnet model is an important integrable system. We consider the deformations of Heisenberg supermagnet model ...
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Article
Open AccessOn an integrable differential-difference equation with a source
We introduce an integrable differential-difference KdV equation with a source. A bilinear Bäcklund transformation and the associated nonlinear superposition formula are thereby obtained. And the multisoliton s...
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Article
Open AccessPfaffianization of the q-difference version of the two-dimensional Toda lattice equation
We apply the pfaffianization procedure to the q-difference version of the two-dimensional Toda lattice equation to produce the pfaffian analogue of the q-difference two-dimensional Toda lattice equation. A sol...
