【摘 要】
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Ultra-discrete equations are generalized cellular automata in the sense that the de pendent (and independent) variables take only integer values.We present
【机 构】
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DepartmentofMathematicsCollegeofCharlestonRobertScottSmallBuilding,Room339Charleston,SC,29424,USA
【出 处】
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International Conference Nonlinear Waves-Theory and Applicat
论文部分内容阅读
Ultra-discrete equations are generalized cellular automata in the sense that the de pendent (and independent) variables take only integer values.We present a new method to identify integrable ultra-discrete equations which is the equivalent of the singularity confinement property for difference equations and the Painlevé property for differential equations.Using this criterion, we find new integrable ultra-discrete equations which in clude the ultra-discrete Painleve equations.
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