The novel Φ⁶-model expansion method is employed to the Kundu–Mukherjee–Naskar model of the nonlinear partial differential equation that plays a significant role in optical fiber. A variety of nonlinear dynamical exact and optical solitons are extracted in several forms like rational, hyperbolic, trigonometric function solutions by the utilization of a sound computational integration tool. Besides, we also secure mixed combined solitons and singular periodic wave solutions with unknown parameters. For the validation of the solutions constraint conditions are also emerged. The outcomes elucidate that the governing model theoretically possesses significantly rich structures of optical solutions. We also present the modulation instability analysis of the governing model. Moreover, under the suitable choice of involved parameters 3-D, 2-D, and their corresponding contour plots are also sketched.

该新型Φ ⁶非线性偏微分方程的Kundu-Mukherjee-Naskar模型采用模型扩展方法，该模型在光纤中起着重要作用。利用声音计算集成工具，可以以多种形式（如有理，双曲，三角函数解）提取各种非线性动力学精确和光学孤子。此外，我们还保护参数未知的混合组合孤子和奇异周期波解。为了验证解决方案，还出现了约束条件。结果表明，控制模型在理论上具有光学解决方案非常丰富的结构。我们还介绍了控制模型的调制不稳定性分析。此外，根据涉及的参数的适当选择3-d，2-d，