Abstract
In this manuscript, we have employed improved form of extended simple equation and modified F‐expansion to construct the stability analysis solitary wave solution of simplified modified forms of Camassa‐Holm equation, the Newell‐Whitehead‐Segel, and Zeldovich Equations. The novel families of solitary wave solutions are in the form of expontial, trigonometric, and hyperbolic functions, respectively, with kink and anti ‐kink solitons; bright and dark solitons are obtained. We also give analysis for stability of our governing model. Some results are displayed graphically in the form of 3D and 2D to explain the physical behavior of concern models. The investigated results show the power and fruitfulness of our presented schemes and solutions play important rule in different field of applied science.
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