Abstract In this paper, we investigate the fractional Biswas–Milovic model having Kerr and parabolic law nonlinearities via the application of fractional complex transform (FCT) coupled with the homotopy perturbation transform technique (HPTT). HPTT is a fusion of homotopy perturbation method with Laplace transform The obtained numerical results are demonstrated through graphs and tables. The numerical simulation results assure the reliability of the proposed technique with less computational time and high accuracy of the results. Also, comparative simulation studies have been performed to show that the proposed technique provides better approximations than the residual power series method (RPSM).

中文翻译：

---

分数 Biswas-Milovic 模型的分析与数值模拟

摘要 在本文中，我们通过应用分数复变换 (FCT) 和同伦微扰变换技术 (HPTT) 来研究具有 Kerr 和抛物线非线性的分数 Biswas-Milovic 模型。HPTT 是同伦微扰方法与拉普拉斯变换的融合，得到的数值结果通过图形和表格来证明。数值模拟结果保证了所提出技术的可靠性，计算时间少，结果精度高。此外，已经进行了比较模拟研究，以表明所提出的技术提供了比剩余幂级数方法 (RPSM) 更好的近似值。