Painlevé analysis for various nonlinear Schrödinger dynamical equations
Ijaz Ali, Aly R. Seadawy, Syed T. R. Rizvi, Muhammad Younis
Abstract
In this paper, our objective is to analyze integrability of three famous nonlinear models, namely unstable nonlinear Schrödinger equation (UNLSE), modified UNLSE (MUNLSE) as well as (2+1)-dimensional cubic NLSE (CNLSE) by utilizing Painlevé test ([Formula: see text]-test). The non-appearance of some sort of singularities such as moveable branch points indicates a sound probability of complete integrability of the concerned NLSE. In case an NLSE passes the [Formula: see text]-test, the studied model can be solved by implementing inverse scattering transformation (IST).
Topics & Concepts
Gravitational singularityNonlinear systemTransformation (genetics)sortNonlinear Schrödinger equationInverse scattering problemInversePhysicsApplied mathematicsMathematical analysisInverse problemMathematicsMathematical physicsQuantum mechanicsGeometryGeneBiochemistryArithmeticChemistryNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions