The present work deals with the solutions of the Gerdjikov–Ivanov(G–I) equation with the Riesz fractional derivative by means of the time-splitting spectral approach. In this approach, the G–I equation is split into two equations and the proposed technique viz. time-splitting spectral method is employed for discretizing the equation in space and then subsequently integrating in time exactly. Furthermore, an implicit finite difference method (IMFD) is utilized here to compare the results with the above-mentioned seminumerical method viz. time-splitting spectral technique. Moreover, it has been established that the proposed method is unconditionally stable. In addition to these, the error norms have been also presented here.
The Time-Splitting Spectral Method for the Gerdjikov–Ivanov Equation With the Riesz Fractional Derivative in the Quantum Field Theory
Contributed by the Design Engineering Division of ASME for publication in the JOURNAL OF COMPUTATIONAL AND NONLINEAR DYNAMICS. Manuscript received May 5, 2018; final manuscript received October 24, 2018; published online November 28, 2018. Assoc. Editor: Anindya Chatterjee.
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Saha Ray, S. (November 28, 2018). "The Time-Splitting Spectral Method for the Gerdjikov–Ivanov Equation With the Riesz Fractional Derivative in the Quantum Field Theory." ASME. J. Comput. Nonlinear Dynam. January 2019; 14(1): 014502. https://doi.org/10.1115/1.4041891
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