Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter

Physics – Mathematical Physics

Scientific paper

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Published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/

Scientific paper

10.3842/SIGMA.2006.040

We introduce a method of approximate nonclassical Lie-B\"acklund symmetries
for partial differential equations with a small parameter and discuss
applications of this method to finding of approximate solutions both integrable
and nonintegrable equations.

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