2007
DOI: 10.1016/j.cam.2006.05.008
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Conservative difference methods for the Klein–Gordon–Zakharov equations

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Cited by 115 publications
(35 citation statements)
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“…We remark here that the boundary conditions considered here are inspired by the inherent physical nature of the system and they have been widely used in the literature for dealing with analysis and computation of the KGZ system (see, e.g., [32] and references therein).…”
Section: Methodsmentioning
confidence: 99%
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“…We remark here that the boundary conditions considered here are inspired by the inherent physical nature of the system and they have been widely used in the literature for dealing with analysis and computation of the KGZ system (see, e.g., [32] and references therein).…”
Section: Methodsmentioning
confidence: 99%
“…In addition, following the standard techniques used in [9,17,20,29,31,32] for proving energy conservation of FDTD methods, it is easy to show that it conserves the energy in the discretized level.…”
Section: Finite Difference Integrator Sine Pseudospectral Methodsmentioning
confidence: 99%
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“…In [1,9], non-perturbative solution and global smooth solution are obtained. Two finite difference schemes for the KGZ equations were considered in [19]. As coupled equations, the KGZ equations are similar to the Zakharov equations for which many conservative schemes have been presented ( [5-6, 10-11, 17]).…”
Section: Introductionmentioning
confidence: 99%