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Nonautonomous complex wave solutions to the (2+1)-dimensional variable-coefficients nonlinear Chiral Schrödinger equation

Tukur Abdulkadir Sulaıman, Abdullahi Yusuf, S. Abdel‐Khalek, Mustafa Bayram, Hijaz Ahmad

2020Results in Physics42 citationsDOIOpen Access PDF

Abstract

Variable-coefficients nonlinear evolution equations offer us with more real aspects in the inhomogeneities of media and non-uniformities of boundaries than their counter constant-coefficients in some real-world problems. This study investigates the nonautonomous complex wave solutions to the (2 + 1)-dimensional variable-coefficients nonlinear Chiral Schrödinger equation (VCCE). The edge states of the fractional quantum hall effect is described by VCCE. We successfully reached the dark, bright, singular solitons and periodic wave solutions to this nonlinear model. To give more information about the physical features of the reported solutions, 3D and contour plots are successfully depicted in this paper.

Topics & Concepts

Nonlinear systemVariable (mathematics)Mathematical analysisNonlinear Schrödinger equationPhysicsSchrödinger equationConstant (computer programming)MathematicsQuantum mechanicsComputer scienceProgramming languageNonlinear Waves and SolitonsNonlinear Photonic SystemsAdvanced Fiber Laser Technologies