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Constraint of discrete Lax equations with some special types of Lax pairs
2011 International Conference on Multimedia Technology, 2011In 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
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Discrete Lax pair for discrete Toda equation
Commentarii mathematici Universitatis Sancti Pauli = Rikkyo Daigaku sugaku zasshi, 2003Consider 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
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Covariance of Lax Pairs and Integrability of the Compatibility Condition
Theoretical and Mathematical Physics, 2001zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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A Lax–Moser Pair of Euler’s Top
Journal of the Physical Society of Japan, 2017A Lax–Moser pair of Euler’s top is found for both cases of continuous and discrete time variable.
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Lax pairs: a novel type of separability
Inverse Problems, 2009An 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.
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Lax Pair for the Hubbard Model from the Yang-Baxter Relation
Journal of the Physical Society of Japan, 1996Miki Wadati, Masahiro Shiroishi
exaly
Bilinear Bäcklund transformation and Lax pair for a coupled Ramani equation
Journal of Mathematical Analysis and Applications, 2009Hon-Wah Tam
exaly
Group similarity solutions of the lax pair for a generalized Hirota–Satsuma equation
Applied Mathematics and Computation, 2013Magda Kassem
exaly

