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Constraint of discrete Lax equations with some special types of Lax pairs

2011 International Conference on Multimedia Technology, 2011
In this paper, firstly we deduce the constraint of discrete Lax equations with some special forms of Lax pairs. Then to illustrate the validity of the method, we construct two discrete Lax equations and successfully obtain their constraints by the method.
null Nianhua Li   +3 more
openaire   +1 more source

Discrete Lax pair for discrete Toda equation

Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 2003
Consider the Toda equation \[ \begin{aligned} & \tfrac1\delta(q_{n-1}(t+\delta)-q_{n-1}(t))=q_{n-1}(t+\delta)r_{n-1}(t+\delta)-q_{n-1}(t)r_n(t),\\ & \tfrac1\delta(r_n(t+\delta) - r_n(t))= q_{n-1}(t+\delta)-q_n(t)\end{aligned ...
Kyuya, Masuda, Masanobu, Murakata
openaire   +2 more sources

Covariance of Lax Pairs and Integrability of the Compatibility Condition

Theoretical and Mathematical Physics, 2001
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
openaire   +2 more sources

A Lax–Moser Pair of Euler’s Top

Journal of the Physical Society of Japan, 2017
A Lax–Moser pair of Euler’s top is found for both cases of continuous and discrete time variable.
openaire   +1 more source

Lax pairs: a novel type of separability

Inverse Problems, 2009
An attempt is made to place into historical context the fundamental concept of Lax pairs. For economy of presentation, emphasis is placed on the effectiveness of Lax pairs for the analysis of integrable nonlinear evolution PDEs. It is argued that Lax pairs provide a deeper type of separability than the classical separation of variables.
openaire   +1 more source

A Primer on Lax Pairs

2020
L.M. Bates, R.C. Churchill
openaire   +1 more source

Lax Pair for the Hubbard Model from the Yang-Baxter Relation

Journal of the Physical Society of Japan, 1996
Miki Wadati, Masahiro Shiroishi
exaly  

Bilinear Bäcklund transformation and Lax pair for a coupled Ramani equation

Journal of Mathematical Analysis and Applications, 2009
Hon-Wah Tam
exaly  

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