Integrability structures of the generalized Hunter–Saxton equation

نویسندگان

چکیده

Abstract We consider integrability structures of the generalized Hunter–Saxton equation. obtain Lax representation with non-removable spectral parameter, find local recursion operators for symmetries and cosymmetries, generate an infinite-dimensional Lie algebra higher symmetries, prove existence infinite number cosymmetries order. Further, we give examples employing order to constructing exact globally defined solutions

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ژورنال

عنوان ژورنال: Analysis and Mathematical Physics

سال: 2021

ISSN: ['1664-2368', '1664-235X']

DOI: https://doi.org/10.1007/s13324-021-00490-8