On a splitting method for the Zakharov system
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DOI: 10.1007/s00211-017-0942-2
Abstract: An error analysis of a splitting method applied to the Zakharov system is given. The numerical method is a Lie–Trotter splitting in time that is combined with a Fourier collocation in space to a fully… read more here.
Keywords: splitting method; method zakharov; zakharov system; method ... See more keywords
Lie symmetry analysis and dynamic behaviors for nonlinear generalized Zakharov system
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DOI: 10.1007/s13324-017-0200-x
Abstract: In this paper Lie symmetry analysis method is applied to study nonlinear generalized Zakharov system which is the coupled nonlinear system of Schrödinger equations. With the aid of Lie point symmetry, nonlinear generalized Zakharov system… read more here.
Keywords: nonlinear generalized; system; zakharov system; symmetry ... 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