Abstract
AbstractWe introduce a simple matrix formalism for Taylor series and generalized Laurent series that can be used for implementing the Taylor method for nonlinear ODEs and singularity analysis of differential equations. Advantages of this approach over conventional techniques are shown on model examples. Surprisingly, the same formalism can be used for proving C‐integrability of a 3D model in nonlinear elasticity. An alternative proof is obtained by using similarity between the model in nonlinear elasticity and the classic Pohlmeier‐Lund‐Regge model from high energy physics. (© 2008 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim)
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