In this article, generalised Kudryashov technique has been implemented to construct new soliton solutions of modified Benjamin–Bona–Mahony (mBBM) equation. Also, the optimal homotopy asymptotic method (OHAM) has been employed to estimate the numerical solution. The solutions thus acquired by the above methods are illustrated graphically. The techniques considered here are efficacious, plausible and can be employed in mathematical physics to compute new exact and numerical solutions of NPDEs.

中文翻译：

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关于长波单向传播的修正本杰明-博纳-马霍尼方程的孤波解

在本文中，已实施广义 Kudryashov 技术来构建修正的 Benjamin-Bona-Mahony (mBBM) 方程的新孤子解。此外，最优同伦渐近法（OHAM）已被用于估计数值解。以图形方式说明了通过上述方法获得的解决方案。这里考虑的技术是有效的、合理的，并且可以用于数学物理中来计算 NPDE 的新精确和数值解。