Necessary conditions for convex-periodic, elliptic-periodic, inclined-periodic, and rogue wave-solutions to exist for the multi-dispersions Schrodinger equation
Marwan Alquran
Abstract
Abstract In this study, we revisit the modified Schrödinger equation, which incorporates multiple dispersion terms, including linear, nonlinear, and random dispersion. We establish the essential constraints on the model’s parameters to ensure the presence of complex-valued solutions. Subsequently, we employ effective and explicit techniques such as the extended tanh-coth expansion, rational sine-cosine functions, and rational sinh-cosh functions to derive innovative types of periodic solutions for the proposed model. These solutions demonstrate unique physical properties applicable to various complex media, such as surface water waves, optical fiber pulses, and plasma waves.
Topics & Concepts
Periodic waveDispersion (optics)Hyperbolic functionRogue waveTrigonometric functionsRegular polygonNonlinear systemElliptic functionSine wavePhysicsNonlinear Schrödinger equationSchrödinger's catMathematical analysisQuasi periodicRational functionSineApplied mathematicsMathematicsQuantum mechanicsAstrophysicsGeometryVoltageNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems