Discrete three-dimensional three wave interaction equation with self-consistent sources

Abstract

A discrete three-dimensional three wave interaction equation with self-consistent sources is constructed using the source generation procedure. The algebraic structure of the resulting fully discrete system is clarified by presenting its discrete Gram-type determinant solution. It is shown that the discrete three-dimensional three wave interaction equation with self-consistent sources has a continuum limit into the three-dimensional three wave interaction equation with self-consistent sources.

Key words： Discrete three-dimensional three wave interaction equation; self-consistent sources; source generalization procedure; discrete Gram-type determinant

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