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By implementing the modified simple equation (MSE) technique, we develop some disguise adaptation of analytical solutions in terms of hyperbolic, exponential, and trigonometric functions with some special parameters. We apply the dynamical system to bifurcate the model and draw distinct phase portraits on unlike parametric constraints. Following each orbit of all phase portraits, we originate bounded and unbounded solitary, periodic, and periodic rogue\u2010type wave solutions of the KG model. These two schemes extract widespread classes of solitary, periodic, and periodic rogue\u2010type wave solutions for the KG model jointly due to restrictions on parameters. We also analyze the effect of parameters on the obtained wave solutions and discuss why and when it changes its nature. We illustrate some dynamical features of the acquired solutions via the 3D, 2D, and contour graphics.<\/jats:p>","DOI":"10.1155\/2022\/8771583","type":"journal-article","created":{"date-parts":[[2022,10,15]],"date-time":"2022-10-15T11:35:07Z","timestamp":1665833707000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":21,"title":["Abundant Bounded and Unbounded Solitary, Periodic, Rogue\u2010Type Wave Solutions and Analysis of Parametric Effect on the Solutions to Nonlinear Klein\u2013Gordon Model"],"prefix":"10.1155","volume":"2022","author":[{"given":"Mohammad Mobarak","family":"Hossain","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-5775-516X","authenticated-orcid":false,"given":"Alrazi","family":"Abdeljabbar","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Harun-Or","family":"Roshid","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0002-1687-623X","authenticated-orcid":false,"given":"Md. 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