Construction of q-discrete two-dimensional Toda lattice equation with self-consistent sources

Hong Yan Wang; Xing Biao Hu; Hon Wah Tam

doi:10.2991/jnmp.2007.14.2.9

Construction of q-discrete two-dimensional Toda lattice equation with self-consistent sources

Hong Yan Wang^*, Xing Biao Hu, Hon Wah Tam

^*Corresponding author for this work

Department of Computer Science

Research output: Contribution to journal › Journal article › peer-review

6 Citations (Scopus)

Abstract

The q-discrete two-dimensional Toda lattice equation with self-consistent sources is presented through the source generalization procedure. In addition, the Gramm-type determinant solutions of the system are obtained. Besides, a bilinear Bäcklund transformation (BT) for the system is given.

Original language	English
Pages (from-to)	258-268
Number of pages	11
Journal	Journal of Nonlinear Mathematical Physics
Volume	14
Issue number	2
DOIs	https://doi.org/10.2991/jnmp.2007.14.2.9
Publication status	Published - Apr 2007

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10.2991/jnmp.2007.14.2.9

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title = "Construction of q-discrete two-dimensional Toda lattice equation with self-consistent sources",

abstract = "The q-discrete two-dimensional Toda lattice equation with self-consistent sources is presented through the source generalization procedure. In addition, the Gramm-type determinant solutions of the system are obtained. Besides, a bilinear B{\"a}cklund transformation (BT) for the system is given.",

author = "Wang, {Hong Yan} and Hu, {Xing Biao} and Tam, {Hon Wah}",

note = "This work was supported in part by the National Natural Science Foundation of China (10571091, 10621101), NKBRPC (2006CB805905) and Program for New Century Excellent Talents in University.",

year = "2007",

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AU - Wang, Hong Yan

AU - Hu, Xing Biao

AU - Tam, Hon Wah

N1 - This work was supported in part by the National Natural Science Foundation of China (10571091, 10621101), NKBRPC (2006CB805905) and Program for New Century Excellent Talents in University.

PY - 2007/4

Y1 - 2007/4

N2 - The q-discrete two-dimensional Toda lattice equation with self-consistent sources is presented through the source generalization procedure. In addition, the Gramm-type determinant solutions of the system are obtained. Besides, a bilinear Bäcklund transformation (BT) for the system is given.

AB - The q-discrete two-dimensional Toda lattice equation with self-consistent sources is presented through the source generalization procedure. In addition, the Gramm-type determinant solutions of the system are obtained. Besides, a bilinear Bäcklund transformation (BT) for the system is given.

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DO - 10.2991/jnmp.2007.14.2.9

M3 - Journal article

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SN - 1402-9251

VL - 14

SP - 258

EP - 268

JO - Journal of Nonlinear Mathematical Physics

JF - Journal of Nonlinear Mathematical Physics

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ER -

Construction of q-discrete two-dimensional Toda lattice equation with self-consistent sources

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