Abstract In this article, a new continuous model of a peptide group system with higher order saturable nonlinearity is derived. The model is constructed up on discrete Schrodinger equation with higher order saturable nonlinearity. New exact solutions of the proposed model are investigated. Via the generalized Riccati equation mapping method travelling wave and soliton solutions are derived. For certain values of parameters kink, antikink, breathers, and dark and bright solitons are presented.

中文翻译：

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具有高阶可饱和非线性的肽群系统的孤立波解

摘要 本文推导了一种新的具有高阶可饱和非线性的肽群系统的连续模型。该模型建立在具有高阶可饱和非线性的离散薛定谔方程之上。研究了所提出模型的新精确解。通过广义Riccati方程映射方法推导出行波和孤子解。对于参数扭结、反扭结、呼吸器以及暗和亮孤子的某些值。