Search Results - "Gegenhasi"

The modified semi-discrete two-dimensional Toda lattice with self-consistent sources by Gegenhasi

“…In this paper, we derive the Grammian determinant solutions to the modified semi-discrete two-dimensional Toda lattice equation, and then construct the…”
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The modified two-dimensional Toda lattice with self-consistent sources by Gegenhasi

“…In this paper, we derive the Grammian determinant solutions to the modified two-dimensional Toda lattice, and then we construct the modified two-dimensional…”
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On the modified discrete KP equation with self-consistent sources by Gegenhasi, Bai, Xiaorong

“…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…”
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On a integrable deformations of Heisenberg supermagnetic model by Yan, Zhaowen, Gegenhasi

“…The Heisenberg supermagnet model which is the supersymmetric generalization of the Heisenberg ferromagnet model is an important integrable system. We consider…”
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Discrete three-dimensional three wave interaction equation with self-consistent sources by YAN, Zhaowen

“…A discrete three-dimensional three wave interaction equation with self-consistent sources is constructed using the source generation procedure. The algebraic…”
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Commutativity of Pfaffianization and Bäcklund Transformations by Zhao, Jun-Xiao, Xing-Biao Hu, Gegenhasi

“…We generalize the idea of the Commutativity of pfaffianization and Bäcklund transformations to two differential-difference systems: the two-dimensional Toda…”
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Soliton solutions and their dynamics in reverse-space and reverse-space-time nonlocal discrete derivative nonlinear Schr\"odinger equations by Gegenhasi, Jia, Yuechen

“…In this paper, we introduce the reverse-space and reverse-space-time nonlocal discrete derivative nonlinear Schr\"odinger (DNLS) equations through the nonlocal…”
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Integrability of a differential-difference KP equation with self-consistent sources by Gegenhasi, Hu, Xing-Biao

“…We introduce a differential-difference KP equation with self-consistent sources (D Δ KPESCS) which is a generalization of the D Δ KP equation. The…”
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A ( 2 + 1 )-dimensional sinh-Gordon equation and its Pfaffian generalization by Gegenhasi, Hu, Xing-Biao, Wang, Hong-Yan

“…We consider a ( 2 + 1 )-dimensional sinh-Gordon equation and show its integrability through bilinear method. A Pfaffian version of the ( 2 + 1 )-dimensional…”
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2D Toda lattice equation with self-consistent sources: Casoratian type solutions, bilinear Bäcklund transformation and Lax pair by Wang, Hong-Yan, Hu, Xing-Biao, Gegenhasi

“…The two-dimensional Toda lattice equation with self-consistent sources is proposed based on its bilinear forms. Casoratian-type solutions and Bäcklund…”
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A pfaffian solution to the modified discrete BKP equation by Gegenhasi, Tam, Hon-Wah

“…In this article, we present the bilinear structure of the modified discrete BKP equation whose solution is represented by the pfaffians…”
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On an integrable differential-difference equation with a source by Gegenhasi, Hu, Xing-Biao

“…We introduce an integrable differential-difference KdV equation with a source. A bilinear Bäcklund transformation and the associated nonlinear superposition…”
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On integrability of a ( 2 + 1 ) -dimensional MKdV-type equation by Peng, Ling-Zhi, Zhang, Meng-Xia, Gegenhasi, Liu, Q.P.

“…A ( 2 + 1 ) -dimensional equation of MKdV type proposed by Hietarinta is considered. It is shown that this equation has N-solition solution represented in…”
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Commutativity of Pfaffianization and Bäcklund Transformations: Two Differential-Difference Systems by ZHAO, Jun-Xiao, GEGENHASI, HU, Xing-Biao

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2D Toda lattice equation with self-consistent sources : Casoratian type solutions, bilinear Bäcklund transformation and Lax pair: Topics in integrable systems by WANG, Hong-Yan, HU, Xing-Biao, GEGENHASI

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A pfaffian version of the modified discrete KP equation by Gegenhasi, Hu, Xing-Biao, Tam, Hon-Wah

“…We first present Casorati determinant and Gram-type determinant solutions to a modified discrete KP equation and then produce a pfaffianized version of…”
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On an integrable two-dimensional special lattice with self-consistent sources by Gegenhasi, Tam, Hon-Wah, Wang, Hong-Yan

“…We propose a two-dimensional special lattice with self-consistent sources which is a coupled higher-dimensional Yajima-Oikawa system. The N-soliton solutions…”
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On an integrable modified ( 2 + 1 ) -dimensional Lotka–Volterra equation by Li, Chun-Xia, Nimmo, Jonathan J.C., Hu, Xing-Biao, Gegenhasi

“…In this paper, an integrable ( 2 + 1 ) -dimensional modified Lotka–Volterra equation is considered. This is a semi-discrete system, having discrete space and…”
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Pfaffianization of the discrete three-dimensional three wave interaction equation by Gegenhasi, Zhao, Jun-Xiao, Hu, Xing-Biao, Tam, Hon-Wah

“…We first present the discrete Gram-type determinant solution to the discrete three-dimensional three wave interaction equation. Then a pfaffianized version of…”
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Pfaffianization of the q-difference version of the two-dimensional Toda lattice equation by Gegenhasi, Hu, Xing-Biao, Tam, Hon-Wah

“…We apply the pfaffianization procedure to the q-difference version of the two-dimensional Toda lattice equation to produce the pfaffian analogue of the…”
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