Solution for fractional Zakharov–Kuznetsov equations by using two reliable techniques

By Pundikala Veeresha, Doddabhadrappla Gowda Prakasha. Zhongguó wùli xuékan, 2019

65 citations recorded by the source corpus.

Abstract In this paper, the approximated analytical solutions for nonlinear dispersive fractional Zakharov-Kuznetsov (FZK(a, b, c)) equations are obtained with the help of two novel techniques, called fractional natural decomposition method (FNDM) and q-homotopy analysis transform method (q-HATM). In order to validate and illustrate the efficiency of the proposed techniques, we consider two special cases FZK(2, 2, 2) and FZK(3, 3, 3) in FZK(a, b, c). The numerical simulations have been conducted in order to verify the proposed techniques are reliable and accurate. The outcomes are revealed through the plots and tables. The comparison between the obtained solutions with the exact solutions exhibits that, both the featured schemes are efficient and effective in solving nonlinear complex problems.

Subfields: Modeling and Simulation, Numerical Analysis, Statistical and Nonlinear Physics

View Paper: https://www.semanticscholar.org/paper/b77c6611e7d6fec4ecd892d6d9bc4e76c82d7687

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In Modeling and Simulation

1. M. Inc.
2. Hadi Rezazadeh
3. Mostafa Eslami
4. Jafar Biazar

In Numerical Analysis

1. M. Inc.
2. Hadi Rezazadeh

In Statistical and Nonlinear Physics

1. M. Inc.
2. Hadi Rezazadeh
3. Mostafa Eslami
4. Jafar Biazar
5. Dumitru Băleanu

Citations in the corpus

• Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives (2021, methodology): “spline [24], exponential B-spline method [25–27], fractional natural decomposition method (FNDM) [28], Adam Bashforth’s Moulton method [29], and references therein.”