Ultradiscrete sine-Gordon Equation over Symmetrized Max-Plus Algebra, and Noncommutative Discrete and Ultradiscrete sine-Gordon Equations
Ultradiscretization with negative values is a long-standing problem and several attempts have been made to solve it. Among others, we focus on the symmetrized max-plus algebra, with which we ultradiscretize the discrete sine-Gordon equation. Another ultradiscretization of the discrete sine-Gordon eq...
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Format: | Article |
Language: | English |
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National Academy of Science of Ukraine
2013-11-01
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Series: | Symmetry, Integrability and Geometry: Methods and Applications |
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Online Access: | http://dx.doi.org/10.3842/SIGMA.2013.068 |