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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 pairs for one of hierarchies similar to the first Painlevé hierarchy
Applied Mathematics Letters, 2021Nikolai Kudryashov
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Riemann–Hilbert Problems, Polynomial Lax Pairs, Integrable Equations and Their Soliton Solutions
Symmetry, 2023Vladimir Stefanov Gerdjikov +1 more
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Discrete integrable equations on face-centred cubics: consistency and Lax pairs of corner equations
Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, 2022Andrew Kels
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Lax pairs and Bäcklund transformations for a coupled Ramani equation and its related system
Applied Mathematics Letters, 2000Hon-Wah Tam, Xing-Biao Hu
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