The present study explores the existence and orbital stability of discrete bright breathers through the Joyeux-Buyukdagli DNA model incorporating long-range interactions (LRIs). The nonlinear Schrödinger equation is derived from a semidiscrete approximation and subsequently used to construct the targeted initial condition for numerical computations of the discrete breather. It appears that the interplay between the carrier wave frequency and the LRI induces stationary forward or backward propagating waves. For critical values of the LRI, stationary waves can occur out of the center/edge of the first Brillouin zone. The predicted breathers differ in their robustness and mobility for specific carrier-wave frequency and LRI. In all cases, semianalytical predictions agree with numerical simulations.

中文翻译：

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在具有偶极-偶极长程相互作用的 DNA 模型中向前和向后传播呼吸器

本研究通过包含长程相互作用 (LRI) 的 Joyeux-Buyukdagli DNA 模型探索离散明亮呼吸器的存在和轨道稳定性。非线性薛定谔方程源自半离散近似，随后用于构造离散呼吸器数值计算的目标初始条件。似乎载波频率和 LRI 之间的相互作用会引起静止的向前或向后传播波。对于 LRI 的临界值，驻波可能出现在第一个布里渊区的中心/边缘之外。预测的呼吸器在特定载波频率和 LRI 的鲁棒性和移动性方面有所不同。在所有情况下，半分析预测都与数值模拟一致。