Nonclassical Approximate Symmetries of Evolution Equations with a Small Parameter
Svetlana Kordyukova
TL;DR
This paper develops a method for finding approximate nonclassical symmetries of evolution equations with small parameters, aiding in the derivation of approximate solutions for both integrable and nonintegrable PDEs.
Contribution
It introduces a novel approach to approximate nonclassical Lie-Bäcklund symmetries specifically for PDEs with small parameters, expanding symmetry analysis tools.
Findings
Method successfully finds approximate symmetries for various PDEs.
Enables derivation of approximate solutions for complex evolution equations.
Applicable to both integrable and nonintegrable equations.
Abstract
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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