A Generalized Leznov Lattice: Bilinear Form, Bäcklund Transformation, and Lax Pair

Hon Wah Tam

doi:10.1016/S0893-9659(04)90008-0

A Generalized Leznov Lattice: Bilinear Form, Bäcklund Transformation, and Lax Pair

Hon Wah Tam^*

^*Corresponding author for this work

Department of Computer Science

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

Abstract

A generalized Leznov lattice with its bilinear form is proposed. A bilinear Bäcklund transformation for the lattice is also presented. Starting from the BT, soliton solutions are obtained. A Lax pair for this lattice is also derived from the BT.

Original language	English
Pages (from-to)	35-42
Number of pages	8
Journal	Applied Mathematics Letters
Volume	17
Issue number	1
DOIs	https://doi.org/10.1016/S0893-9659(04)90008-0
Publication status	Published - Jan 2004

User-Defined Keywords

Bäcklund transformations
Hirota's method
Integrable lattices
Lax pairs
Solitons

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10.1016/S0893-9659(04)90008-0

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title = "A Generalized Leznov Lattice: Bilinear Form, B{\"a}cklund Transformation, and Lax Pair",

abstract = "A generalized Leznov lattice with its bilinear form is proposed. A bilinear B{\"a}cklund transformation for the lattice is also presented. Starting from the BT, soliton solutions are obtained. A Lax pair for this lattice is also derived from the BT.",

keywords = "B{\"a}cklund transformations, Hirota's method, Integrable lattices, Lax pairs, Solitons",

author = "Tam, {Hon Wah}",

note = "Funding Information: This work was supported",

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AB - A generalized Leznov lattice with its bilinear form is proposed. A bilinear Bäcklund transformation for the lattice is also presented. Starting from the BT, soliton solutions are obtained. A Lax pair for this lattice is also derived from the BT.

KW - Bäcklund transformations

KW - Hirota's method

KW - Integrable lattices

KW - Lax pairs

KW - Solitons

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A Generalized Leznov Lattice: Bilinear Form, Bäcklund Transformation, and Lax Pair

Abstract

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