Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Articles Article Faculty Publications -Articles Dublin Core The Dublin Core metadata element set is common to all Omeka records, including items, files, and collections. For more information see, http://dublincore.org/documents/dces/. Title A name given to the resource Solutions for time-fractional coupled nonlinear Schringer equations arising in optical solitons Subject The topic of the resource Caputo derivative; Coupled nonlinear Schringer equations; Laplace transform; q-homotopy analysis transform method Description An account of the resource In this work, an efficient novel technique, namely, the q-homotopy analysis transform method (q-HATM) is applied to obtain analytical solutions for a system of time-fractional coupled nonlinear Schringer (TF-CNLS) equations with the time-fractional derivative taken in the Caputo sense. This system of equations incorporate nonlocality behaviors which cannot be modeled under the framework of classical calculus. With numerous important applications in nonlinear optics, it describes interactions between waves of different frequencies or the same frequency but belonging to different polarizations. We first establish existence and uniqueness of solutions for the considered time-fractional problem via a fixed point argument. To demonstrate the effectiveness and efficiency of the q?HATM, two cases each of two time-fractional problems are considered. One important feature of the q?HATM is that it provides reliable algorithms which can be used to generate easily computable solutions for the considered problems in the form of rapidly convergent series. Numerical simulation are provided to capture the behavior of the state variables for distinct values of the fractional order parameter. The results demonstrate that the general response expression obtained by the q?HATM contains the fractional order parameter which can be varied to obtain other responses. Particularly, as this parameter approaches unity, the responses obtained for the considered fractional equations approaches that of the corresponding classical equations. 2021 The Physical Society of the Republic of China (Taiwan) Creator An entity primarily responsible for making the resource Okposo N.I.; Veeresha P.; Okposo E.N. Source A related resource from which the described resource is derived Chinese Journal of Physics, Vol-77, pp. 965-984. Publisher An entity responsible for making the resource available Elsevier B.V. Date A point or period of time associated with an event in the lifecycle of the resource 2022-01-01 Identifier An unambiguous reference to the resource within a given context <a href="https://doi.org/10.1016/j.cjph.2021.10.014" target="_blank" rel="noreferrer noopener">https://doi.org/10.1016/j.cjph.2021.10.014</a> <br /><br /><a href="https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127522396&amp;doi=10.1016%2Fj.cjph.2021.10.014&amp;partnerID=40&amp;md5=00653f6696c68f97f5bfb98c0d7b3ed8" target="_blank" rel="noreferrer noopener">https://www.scopus.com/inward/record.uri?eid=2-s2.0-85127522396&amp;doi=10.1016%2fj.cjph.2021.10.014&amp;partnerID=40&amp;md5=00653f6696c68f97f5bfb98c0d7b3ed8</a> Rights Information about rights held in and over the resource Restricted Access Relation A related resource ISSN: 5779073 Format The file format, physical medium, or dimensions of the resource Online Language A language of the resource English Type The nature or genre of the resource Article Coverage The spatial or temporal topic of the resource, the spatial applicability of the resource, or the jurisdiction under which the resource is relevant Okposo N.I., Department of Mathematics, Delta State University, Abraka, PMB 1, Delta state, Nigeria; Veeresha P., Center for Mathematical Needs, Department of Mathematics, CHRIST (Deemed to be University), Bengaluru, 560029, India; Okposo E.N., Department of Mathematics, University of Delta, Agbor, PMB 2090, Delta state, Nigeria