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On the dynamics of the (2+1)-dimensional chiral nonlinear Schrödinger model in physics

Kalim U. Tariq, Abdul–Majid Wazwaz, Syed Muhammad Raza Kazmi

2023Optik20 citationsDOIOpen Access PDF

Abstract

The nonlinear Schrödinger equation is one of the significant nonlinear complex models describing the optical solitons in dispersive media. In this study, the (2+1)-dimensional chiral nonlinear Schrödinger model has been investigated analytically which is of key importantance in the field of fluid sciences. A variety of exclusive travelling waveform solutions have been established for the complex dynamical model by employing a set of eminent analytical approaches namely the extended modified auxiliary equation mapping method, the improved F -expansion method, and the unified method, respectively. We obtained different forms of solitary types solutions with the help of these technique. The outcomes are a set of bell-shaped, single periodic, optical, and multi-periodic solutions. Finally, the stability of the developed results is also established to validate the computations. The study provides a very spectacular and appropriate way to put together several interesting wave demonstrations for more complex models of current era.

Topics & Concepts

Nonlinear systemPhysicsWaveformComputationSet (abstract data type)Field (mathematics)Stability (learning theory)Nonlinear Schrödinger equationStatistical physicsClassical mechanicsApplied mathematicsComputer scienceQuantum mechanicsMathematicsAlgorithmPure mathematicsProgramming languageVoltageMachine learningNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions
On the dynamics of the (2+1)-dimensional chiral nonlinear Schrödinger model in physics | Litcius