Similarity Solution for a System of Fractional-Order Coupled Nonlinear Hirota Equations with Conservation Laws

نویسندگان

چکیده

The analysis of differential equations using Lie symmetry has been proved a very robust tool. It is also powerful technique for reducing the order and nonlinearity equations. equation allows dynamic framework establishment invariant solutions initial value boundary problems, deduction laws conservations. This article aimed at applying to fractional-order coupled nonlinear complex Hirota system partial reduced fractional ordinary (FODEs) by symmetries explicit solutions. are exhibited in form an Erdelyi–Kober (E-K) operator. series solution its convergence investigated. Noether’s theorem used devise conservation laws.

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ژورنال

عنوان ژورنال: Mathematics

سال: 2023

ISSN: ['2227-7390']

DOI: https://doi.org/10.3390/math11112465