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The following paragraph should appear at the end of Section 1. Remark 1. Gauge transformation is a well-known concept in physics and has been used as a computational tool also. In fluid dynamics, Buttke was the first to use it as a computational tool to design vortex methods , following earlier work of Oseledets and others  . An alternative formulation was found by Maddocks and Pego  using the impetus-striction variables. This formulation does not seem to have the problem of numericaldoi:10.4310/cms.2003.v1.n4.a10 fatcat:sv67xturdjagzosqgyyslll7gu