Conditional symmetries and conditional integrability for nonlinear systems
作者： Pavel Winternitz
DOI: 10.1007/3-540-54040-7_117
关键词: Mathematical analysis 、 Mathematics 、 Nonlinear differential equations 、 Vector field 、 Compatibility (mechanics) 、 Pure mathematics 、 Nonlinear system 、 Linear operators 、 Homogeneous space 、 Split-step method
摘要: Two methods of obtaining particular solutions nonlinear differential equations are reviewed. The first makes use “conditional symmetries”, i.e. local Lie point transformations leaving a subset an equation invariant. second consists adding further to the given one, so that equation, together with supplementary conditions, figures as compatibility conditions for algebra linear operators.
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