Symmetry analysis, exact solutions and conservation laws of the nonlinear time-fractional sharma-tasso-olever equation

• Autorzy: Yu Jicheng , Feng Yuqiang

Identyfikatory

DOI

10.17512/jamcm.2024.4.11

• Języki publikacji: EN

Abstrakty

EN

The Lie symmetry analysis method (LSAM) is applied to obtain all Lie symmetries of the nonlinear time-fractional Sharma-Tasso-Olever equation. The studied fractional partial differential equation (FPDEs) is reduced to some fractional ordinary differentia equations (FODEs), of which some exact solutions including the convergent power series solution are obtained. The dynamic behaviors of these exact solutions are presented graphically. In addition, the conservation laws for the obtained symmetries are constructed by Ibragimov’s theory.

Słowa kluczowe

EN

Lie symmetry analysis; fractional partial differential equation; Sharma-Tasso-Olever equation; conservation laws

PL

Analiza symetrii Liego; ułamkowe równanie różniczkowe cząstkowe; równanie Sharma-Tasso-Olever; zasada zachowania

• Wydawca: Wydawnictwo Politechniki Częstochowskiej
• Czasopismo: Journal of Applied Mathematics and Computational Mechanics
• Rocznik: 2024
• Tom: Vol. 23, nr 4
• Strony: 120--132
• Opis fizyczny: Bibliogr. 35 poz., rys., tab.

Twórcy

autor

Yu Jicheng

• School of Science, Wuhan University of Science and Technology, Wuhan, China

autor

Feng Yuqiang

• School of Science, Wuhan University of Science and Technology, Wuhan, China
• Hubei Province Key Laboratory of Systems Science in Metallurgical Process, Wuhan, China

Bibliografia

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Uwagi

Opracowanie rekordu ze środków MNiSW, umowa nr POPUL/SP/0154/2024/02 w ramach programu "Społeczna odpowiedzialność nauki II" - moduł: Popularyzacja nauki (2025).