Symmetry Approach to the Integrability Problem

By V. E. Adler, A. Shabat, R. Yamilov. 2000

145 citations recorded by the source corpus.

Subfields: Spectroscopy, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/9c41cdfced652e5193a1fa5bfc56c76d138896ac

How researchers see this paper

The researchers whose trusted networks rank it highest, strongest advocate first. Every researcher gets a different order.

In Spectroscopy

1. D. Levi
2. P. Winternitz
3. R. Yamilov

In Statistical and Nonlinear Physics

1. P. Winternitz
2. D. Levi
3. R. Yamilov

Citations in the corpus

• Symmetries as integrability criteria for differential difference equations (2006, methodology): “Here we only write down the Lagrangians [10] of the form L = R(u̇n, un) − Y (un+1 − un).”
• Continuous symmetries of difference equations (2005, methodology): “This procedure has then been extended to the case of differential-difference and difference-difference equations [4, 5, 12, 38, 49, 60, 61, 166,175,185,188,222,223].”