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Dynamics of Nonlinear Wave Propagation to Coupled Nonlinear Schrödinger-Type Equations

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Abstract

Nonlinear Schrödinger type equations are important models emerging from a wide variety of fields, such as fluids, nonlinear optics, the theory of deep water waves, plasma physics, and so on. In this present work, we retrieve a series of soliton solutions to the coupled nonlinear Schrödinger type equations by applying an integration gadget known as the new extended direct algebraic method. The soliton and other solutions achieved by this method can be categorized as a single (dark, singular), complex, and combo solitons as well as a hyperbolic, plane wave, and trigonometric solutions with arbitrary parameters. The spectrum of solitons is enumerated along with their existence criteria. Moreover, 2-D, 3-D, and contours profiles of reported results are also sketched by choosing suitable values of involved parameters which facilitate the researchers to comprehend the physical phenomena of the governing equation. The acquired solutions exhibit that the proposed technique is an efficient, valuable, and straightforward approach to constructing new solutions of various types of nonlinear partial differential equations which have important applications to applied sciences and engineering. The scrutinized wave’s results are loyal to the researchers and also have imperious applications in mathematics and physics.

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Authors and Affiliations

  1. Department of Mathematics, Faculty of Science, University of Gujrat, 50700, Gujrat City, Pakistan

    Muhammad Bilal,  Shafqat-Ur-Rehman & Jamshad Ahmad

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  1. Muhammad Bilal
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  2. Shafqat-Ur-Rehman
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  3. Jamshad Ahmad
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Bilal, M., Shafqat-Ur-Rehman & Ahmad, J. Dynamics of Nonlinear Wave Propagation to Coupled Nonlinear Schrödinger-Type Equations. Int. J. Appl. Comput. Math 7, 137 (2021). https://doi.org/10.1007/s40819-021-01074-7

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