In this paper, we show that complete integrability is preserved in a multicomponent differential-difference Volterra system with branched dispersion relation. Using the Hirota bilinear formalism, we construct multisoliton solutions for a system of coupled [Formula: see text] equations. We also show that one can obtain the same solutions through a periodic reduction starting from a two-dimensional completely integrable generalized Volterra system. For some particular cases, graphical representations of solitons are displayed and stability is discussed using an asymptotic analysis.

中文翻译：

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具有分支色散的广义沃尔泰拉系统的完全可积性和复孤子

在本文中，我们证明了在具有分支色散关系的多分量微分-差分 Volterra 系统中保留了完全可积性。使用 Hirota 双线性形式，我们为耦合 [公式：见文本] 方程组构建多孤子解。我们还表明，可以通过从二维完全可积广义 Volterra 系统开始的周期性缩减来获得相同的解决方案。对于某些特定情况，会显示孤子的图形表示，并使用渐近分析讨论稳定性。