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| Geometric Realizations of the Discrete Manakov Equation of Mixed Type |
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Citation： |
Qing DING,Wenyu SUN.Geometric Realizations of the Discrete Manakov Equation of Mixed Type[J].Chinese Annals of Mathematics B,2026,(1):157~168 |
| Page view： 200
Net amount： 101 |
Authors： |
Qing DING; Wenyu SUN |
Foundation： |
National Natural Science Foundation of China (Nos. 12141104, 12326403) |
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| Abstract： |
The authors present geometric interpretations of the discrete Manakov equation of mixed type through centro-affine geometry of curves in ?3. They show that the evolution of discrete curves with prescribed invariants yields the discrete Manakov system. Several conservation laws and symmetries are derived from the geometric framework, revealing deep connections between integrable systems and discrete differential geometry. |
Keywords： |
Manakov equation Geometric realization Integrable discretization |
Classification： |
53C30, 53E30, 35Q55, 37K25, 35Q60 |
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