This paper focuses on the instability modulation and new travelling wave solutions of the (2 + 1)-dimensional Kundu–Mukherjee–Naskar equation via the tanh function method. Dark, mixed dark–bright, complex solitons and periodic wave solutions are archived. Strain conditions for the validity of results are also reported. Instability modulation properties of the governing model are also extracted. Various wave simulations in 2D, 3D and contour graphs under the strain conditions are presented.

中文翻译：

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(2 + 1) 维 Kundu-Mukherjee-Naskar 模型在行波解中的不稳定性调制特性

本文重点研究 (2 + 1) 维 Kundu-Mukherjee-Naskar 方程的不稳定性调制和新的行波解，通过 tanh 函数方法。存档暗、混合暗亮、复杂孤子和周期波解。还报告了结果有效性的应变条件。还提取了控制模型的不稳定性调制特性。介绍了应变条件下 2D、3D 和等高线图中的各种波模拟。