HAUSDORFF FRACTAL NEW COUPLED NONLINEAR SCHRÖDINGER MODEL AND ITS NOVEL SOLITARY WAVE SOLUTION

Y. Khan and N. Faraz
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Y. Khan: Department of Mathematics, University of Hafr Al-Batin, Hafr Al-Batin 31991, Saudi Arabia
N. Faraz: ��International Cultural Exchange School, Donghua University, West Yanan Road 1882, Shanghai 200051, P. R. China

FRACTALS (fractals), 2021, vol. 29, issue 08, 1-10

Abstract: This paper uses the Hausdorff fractal derivative to convert the new Schrödinger nonlinear coupled equation into a novel fractal coupled nonlinear Schrödinger model. By applying the variational principle, a plethora of new soliton solutions are retrieved from the developed framework. The conditions of constraints are set for the presence of appropriate solitons. The 3D, 2D, and contour graphs of the reported solutions are depicted under the collection of appropriate parameter values. Moreover, it is noted that the variational principle built on the Hausdorff derivative for the proposed fractal model delivers a direct convenient and efficient mathematical tool for solving nonlinear partial differential equations in the solitary wave theory.

Keywords: Fractal System; Hausdorff Derivative; Coupled Nonlinear Schrödinger Equations (CNSEs); Solitary Solution (search for similar items in EconPapers)
Date: 2021
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DOI: 10.1142/S0218348X21502522

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