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New exact traveling wave solutions to the (2+1)-dimensional Chiral nonlinear Schrödinger equation

Hadi Rezazadeh, Muhammad Younis, Shafqat-Ur-Rehman, Mostafa Eslami, Muhammad Bilal, Usman Younas

2021Mathematical Modelling of Natural Phenomena60 citationsDOIOpen Access PDF

Abstract

In this research work, we successfully construct various kinds of exact traveling wave solutions such as trigonometric like, singular and periodic wave solutions as well as hyperbolic solutions to the (2+1)-dimensional Chiral nonlinear Schröginger equation (CNLSE) which is used as a governing equation to discuss the wave in the quantum field theory. The mechanisms which are used to obtain these solutions are extended rational sine-cosine/sinh-cosh and the constraint conditions for the existence of valid solutions are also given. The attained results exhibit that the proposed techniques are a significant addition for exploring several types of nonlinear partial differential equations in applied sciences. Moreover, 3D, 2D-polar and contour profiles are depicted for showing the physical behavior of the reported solutions by setting suitable values of unknown parameters.

Topics & Concepts

Trigonometric functionsTrigonometryHyperbolic functionTraveling waveNonlinear systemMathematicsPartial differential equationMathematical analysisNonlinear Schrödinger equationConstraint (computer-aided design)SinePeriodic waveSchrödinger equationPhysicsGeometryQuantum mechanicsNonlinear Waves and SolitonsQuantum Mechanics and Non-Hermitian PhysicsNonlinear Photonic Systems