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Infinite-Parameter Potential Symmetries and a New Exact Solution for the Particle-Cluster Dynamic Equation |
| ZHANG Shan-Qing;LI Zhi-Bin |
| Department of Computer Science, East China Normal University, Shanghai 200062 |
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| Cite this article: |
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ZHANG Shan-Qing, LI Zhi-Bin 2004 Chin. Phys. Lett. 21 223-226 |
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Abstract The master equation of a one-dimensional lattice-gas model with order preservation where the occupation probabilities of sites corresponding to Bose statistics as a consequence of the prescribed dynamics is studied with the potential symmetry method. The infinite-parameter potential symmetry and a new exact solution are obtained. The result illustrates that there remains the possibility of the above nonlinear equation to a linear partial differential equation by a non-invertible mapping.
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02.20.Tw
02.30.Jr
02.70.Wz
03.65.Ge
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Published: 01 February 2004
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| PACS: |
02.20.Tw
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(Infinite-dimensional Lie groups)
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02.30.Jr
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(Partial differential equations)
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02.70.Wz
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(Symbolic computation (computer algebra))
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03.65.Ge
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(Solutions of wave equations: bound states)
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