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computation of µ-symmetry and µ-conservation law for the camassa-holm and hunter-saxton equations
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نویسنده
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shaban somayeh ,nadjafikhah mehdi
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منبع
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aut journal of mathematics and computing - 2023 - دوره : 4 - شماره : 2 - صفحه:113 -122
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چکیده
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This work is intended to compute the µ-symmetry and µ-conservation laws for the cammasa-holm (ch) equation and the hunter-saxton (hs) equation. in other words, µ-symmetry, µ-symmetry reduction, variational problem, and µconservation laws for the ch equation and the hs equation are provided. since the ch equation and the hs equation are of odd order, they do not admit a variational problem. first we obtain µ-conservation laws for both of them in potential form because they admit a variational problem and then using them, we obtain µconservation laws for the ch equation and the hs equation.
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کلیدواژه
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symmetry ,µ-symmetry ,conservation law ,µ-conservation law ,variational problem ,order reduction
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آدرس
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islamic azad university, karaj branch, department of mathematics, iran, iran university of science and technology, school of mathematics, department of pure mathematics, iran
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پست الکترونیکی
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m_nadjafikhah@iust.ac.ir
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Authors
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