Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation
عنوان مقاله: Lie symmetries, exact solutions, and conservation laws of the nonlinear time-fractional Benjamin-Ono equation
شناسه ملی مقاله: JR_CMDE-10-3_004
منتشر شده در در سال 1401
شناسه ملی مقاله: JR_CMDE-10-3_004
منتشر شده در در سال 1401
مشخصات نویسندگان مقاله:
Farzaneh Alizadeh - Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.
Mir Sajjad Hashemi - Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.
Ali Haji Badali - Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.
خلاصه مقاله:
Farzaneh Alizadeh - Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.
Mir Sajjad Hashemi - Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.
Ali Haji Badali - Department of Mathematics, Basic Science Faculty, University of Bonab, Bonab, Iran.
In this work, we use the symmetry of the Lie group analysis as one of the powerful tools that deals with the wide class of fractional order differential equation in the Riemann-Liouville concept. We employ the classical Lie symmetries to obtain similarity reductions of nonlinear time-fractional Benjamin-Ono equation and then, we find the related exact solutions for the derived generators. Finally, according to the Lie symmetry generators obtained, we construct conservation laws for related classical vector fields of time-fractional Benjamin-Ono equation.
کلمات کلیدی: Fractional equation, Lie symmetry analysis, classical symmetry, Conservation laws
صفحه اختصاصی مقاله و دریافت فایل کامل: https://civilica.com/doc/1595683/