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Non-classical Lie symmetry and conservation laws of the nonlinear time-fractional Kundu–Eckhaus (KE) equation

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Abstract

This work provides an analytical investigation of the time-fractional Kundu–Eckhaus (KE) equation. We use the symmetry of the Lie group as an appropriate tool which deals with the wide class of fractional-order differential equations in Riemann–Liouville sense. In the current work, firstly, we employ classical Lie symmetries to obtain similarity reductions of nonlinear generalised time-fractional KE equation. At the final step, we find relevant exact solutions for the extracted generators.

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Authors and Affiliations

  1. Department of Mathematics, Basic Sciences Faculty, University of Bonab, Bonab, 55513-95133, Iran

    Mir Sajjad Hashemi, Ali Haji-Badali & Farzaneh Alizadeh

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  1. Mir Sajjad Hashemi
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  2. Ali Haji-Badali
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  3. Farzaneh Alizadeh
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Correspondence to Mir Sajjad Hashemi.

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Hashemi, M.S., Haji-Badali, A. & Alizadeh, F. Non-classical Lie symmetry and conservation laws of the nonlinear time-fractional Kundu–Eckhaus (KE) equation. Pramana - J Phys 95, 107 (2021). https://doi.org/10.1007/s12043-021-02135-8

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