Investigating the New Conservation Laws of Hunter-Saxton Equation via Lie Symmetries

‎In this research‎, ‎using the multiplier method and the ۲-dimensional‎ homotopy operator‎, ‎higher order conservation laws for the‎ ‎Hunter-Saxton equation are computed‎. ‎Also‎, ‎in order to construct new‎ ‎conservation laws‎, ‎the invariance properties of the multipliers are‎ ‎studied using Lie classical symmetries‎.

Keywords:

Lie Symmetries , ‎ Conversation laws , ‎ Multiplier‎ method‎ , Homotopy operator , ‎ Hunter-Saxton equation

Authors

Mehdi Jafari

&lrm;Department of Mathematics&lrm;, &lrm;Payame Noor University&lrm;, &lrm;PO BOX ۱۹۳۹۵-۳۶۹۷&lrm;, &lrm;Tehran&lrm;, &lrm;Iran&lrm;.

Somayeh Sadat Mahdion

Department of Mathematics&lrm;, &lrm;Payame Noor University&lrm;, &lrm;PO BOX ۱۹۳۹۵-۳۶۹۷&lrm;, &lrm;Tehran&lrm;, &lrm;Iran

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https://civilica.com/doc/1820749

شناسه ملی سند علمی:

JR_IJMAC-13-2_001

تاریخ نمایه سازی: 27 آبان 1402

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Jafari, Mehdi and Mahdion, Somayeh Sadat,1402,Investigating the New Conservation Laws of Hunter-Saxton Equation via Lie Symmetries,https://civilica.com/doc/1820749

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