Conservation Laws of the Kudryashov and Sinelshchikov equation by the Scaling Method
عنوان مقاله: Conservation Laws of the Kudryashov and Sinelshchikov equation by the Scaling Method
شناسه ملی مقاله: FSICONF02_017
منتشر شده در دومین کنفرانس بین المللی علوم پایه و علوم مهندسی در سال 1399
شناسه ملی مقاله: FSICONF02_017
منتشر شده در دومین کنفرانس بین المللی علوم پایه و علوم مهندسی در سال 1399
مشخصات نویسندگان مقاله:
Mehdi Jafari - Department of Mathematics , Payame Noor University , PO BOX ۱۹۳۹۵-۳۶۹۷ , Tehran , Iran
Mohammad Hadi Moslehi - Department of Mathematics , Payame Noor University , PO BOX ۱۹۳۹۵-۳۶۹۷ , Tehran , Iran
Razie Darvazeban Zade - Department of Mathematics , Payame Noor University , PO BOX ۱۹۳۹۵-۳۶۹۷ , Tehran , Iran
خلاصه مقاله:
Mehdi Jafari - Department of Mathematics , Payame Noor University , PO BOX ۱۹۳۹۵-۳۶۹۷ , Tehran , Iran
Mohammad Hadi Moslehi - Department of Mathematics , Payame Noor University , PO BOX ۱۹۳۹۵-۳۶۹۷ , Tehran , Iran
Razie Darvazeban Zade - Department of Mathematics , Payame Noor University , PO BOX ۱۹۳۹۵-۳۶۹۷ , Tehran , Iran
In this paper, we obtain the conservation laws for Kudryashov and Sinelshchikov (K-S) equation by the scaling method.This equation appears in calculation of nonlinear pressure waves in a mixture liquid and gas bubbles. The scalingmethod is the algorithmic method which based on calculus, variational calculus, and linear algebra. In this method thedensity of conservation law is obtained by scaling symmetry and the corresponding flux is calculated by homotopyoperator. We use this method to construct conservation laws of rank ۶, ۷ for the K-S equation.
کلمات کلیدی: Scaling symmetry, Conservation law, Kudryashov-Sinelshchikov (K-S) equation, Homotopy operator
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1195796/