Soliton solutions of the conformable fractional Zakharov–Kuznetsov equation with dual-power law nonlinearity
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DOI: 10.1007/s11082-017-1225-y
Abstract: In this article, the Riccati sub equation method is employed to solve fractional Zakharov–Kuznetsov equation with dual-power law nonlinearity in the sense of the conformable derivative. By using this method, new exact solutions involving parameters,… read more here.
Keywords: kuznetsov equation; fractional zakharov; zakharov kuznetsov; equation dual ... See more keywords
Conservative difference scheme for fractional Zakharov system and convergence analysis
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DOI: 10.1080/00207160.2020.1823973
Abstract: In this paper, a high-accuracy conservative difference scheme is presented for solving the space fractional Zakharov system, which preserves the original conservative properties. By virtue of the standard energy method and mathematical induction, it is… read more here.
Keywords: conservative difference; zakharov system; scheme; difference scheme ... See more keywords
Numerical Solutions of Time Fractional Zakharov-Kuznetsov Equation via Natural Transform Decomposition Method with Nonsingular Kernel Derivatives
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DOI: 10.1155/2021/9884027
Abstract: In this paper, we have studied the time-fractional Zakharov-Kuznetsov equation (TFZKE) via natural transform decomposition method (NTDM) with nonsingular kernel derivatives. The fractional derivative considered in Caputo-Fabrizio (CF) and Atangana-Baleanu derivative in Caputo sense (ABC).… read more here.
Keywords: time fractional; method; natural transform; fractional zakharov ... See more keywords