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Approximate solutions to the Zakharov equations via finite differences. (English) Zbl 0775.78001

Summary: An energy-preserving, linearly implicit finite-difference scheme is presented for computing solutions to the periodic initial-value problem for the Zakharov equations. Solitary waves and colliding solitary waves are computed, and a comparison is made with previous calculations.

MSC:

78M20 Finite difference methods applied to problems in optics and electromagnetic theory
78A40 Waves and radiation in optics and electromagnetic theory
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References:

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