The Poisson Structure on the Coordinate Ring of Discrete Lax Operator and Toda Lattice Equation

Advances in Applied Mathematics ◽

10.1006/aama.1994.1015 ◽

1994 ◽

Vol 15 (4) ◽

pp. 379-389 ◽

Author(s):

K. Ikeda

Keyword(s):

Poisson Structure ◽

Toda Lattice ◽

Coordinate Ring ◽

Lattice Equation ◽

Lax Operator ◽

Toda Lattice Equation

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N-fold Darboux transformation and soliton solutions for the relativistic Toda lattice equation

Authorea ◽

10.22541/au.158379383.32853181 ◽

2020 ◽

Author(s):

Fangcheng Fan ◽

Zhiguo Xu ◽

Shaoyun Shi

Keyword(s):

Darboux Transformation ◽

Toda Lattice ◽

Soliton Solutions ◽

Lattice Equation ◽

Relativistic Toda Lattice ◽

Toda Lattice Equation

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An operator theoretic approach to the Toda lattice equation

Physica D Nonlinear Phenomena ◽

10.1016/s0167-2789(98)00173-0 ◽

1998 ◽

Vol 122 (1-4) ◽

pp. 37-61 ◽

Author(s):

Cornelia Schiebold

Keyword(s):

Toda Lattice ◽

Theoretic Approach ◽

Lattice Equation ◽

Toda Lattice Equation

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Lie Symmetry Analysis of the Inhomogeneous Toda Lattice Equation via Semi-Discrete Exterior Calculus

Communications in Theoretical Physics ◽

10.1088/0253-6102/67/6/643 ◽

2017 ◽

Vol 67 (6) ◽

pp. 643 ◽

Author(s):

Jiang Liu ◽

Deng-Shan Wang ◽

Yan-Bin Yin

Keyword(s):

Toda Lattice ◽

Lie Symmetry ◽

Symmetry Analysis ◽

Lie Symmetry Analysis ◽

Lattice Equation ◽

Discrete Exterior Calculus ◽

Exterior Calculus ◽

Toda Lattice Equation

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Approximate soliton solutions around an exact soliton solution of the toda lattice equation

Physics Letters A ◽

10.1016/0375-9601(88)90610-x ◽

1988 ◽

Vol 130 (4-5) ◽

pp. 279-282 ◽

Author(s):

S. Takeno ◽

K. Kisoda ◽

S. Homma

Keyword(s):

Soliton Solution ◽

Toda Lattice ◽

Soliton Solutions ◽

Lattice Equation ◽

Toda Lattice Equation

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A class of solutions of the two-dimensional Toda lattice equation

Physics Letters A ◽

10.1016/j.physleta.2020.126979 ◽

2021 ◽

Vol 385 ◽

pp. 126979

Author(s):

V.N. Duarte

Keyword(s):

Toda Lattice ◽

Two Dimensional ◽

Lattice Equation ◽

Toda Lattice Equation

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On the Solutions of the Linear Bäcklund Transformation of the Two-Dimensional Toda Lattice Equation

Journal of the Physical Society of Japan ◽

10.1143/jpsj.56.3813 ◽

1987 ◽

Vol 56 (11) ◽

pp. 3813-3820 ◽

Author(s):

Fukuko Yuasa ◽

Noriko Saitoh ◽

Éi Iti Takizawa

Keyword(s):

Toda Lattice ◽

Bäcklund Transformation ◽

Two Dimensional ◽

Backlund Transformation ◽

Lattice Equation ◽

Toda Lattice Equation

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Casorati determinant solution for the discrete-time relativistic Toda lattice equation

Physics Letters A ◽

10.1016/s0375-9601(98)00150-9 ◽

1998 ◽

Vol 241 (6) ◽

pp. 335-343 ◽

Author(s):

Ken-ichi Maruno ◽

Kenji Kajiwara ◽

Masayuki Oikawa

Keyword(s):

Discrete Time ◽

Toda Lattice ◽

Lattice Equation ◽

Casorati Determinant ◽

Relativistic Toda Lattice ◽

Toda Lattice Equation

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

Journal of Nonlinear Mathematical Physics ◽

10.2991/jnmp.2007.14.2.9 ◽

2007 ◽

Vol 14 (2) ◽

pp. 258-268 ◽

Author(s):

Hong-Yan Wang ◽

Xing-Biao Hu ◽

Hon-Wah Tam

Keyword(s):

Toda Lattice ◽

Two Dimensional ◽

Lattice Equation ◽

Self Consistent ◽

Toda Lattice Equation

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On integrability of a noncommutative q -difference two-dimensional Toda lattice equation

Physics Letters A ◽

10.1016/j.physleta.2015.10.027 ◽

2015 ◽

Vol 379 (47-48) ◽

pp. 3075-3083 ◽

Author(s):

C.X. Li ◽

J.J.C. Nimmo ◽

Shoufeng Shen

Keyword(s):

Toda Lattice ◽

Two Dimensional ◽

Lattice Equation ◽

Toda Lattice Equation

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Erratum: “A Note on the Extended 2D Toda Lattice Equation” and “Addendum to `A Note on the Extended 2D Toda Lattice Equation' ”

Journal of the Physical Society of Japan ◽

10.1143/jpsj.81.028001 ◽

2012 ◽

Vol 81 (2) ◽

pp. 028001

Author(s):

Kazuaki Narita

Keyword(s):

Toda Lattice ◽

Lattice Equation ◽

Toda Lattice Equation

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