On Survey of the Some Wave Solutions of the Non-Linear Schrödinger Equation (NLSE) in Infinite Water Depth
Tuğba TAZGAN, Ercan CELIK, Gülnur Yel, Hasan Bulut
Abstract
In this work, we use two different analytic schemes which are the Sine-Gordon expansion technique and the modified exp -expansion function technique to construct novel exact solutions of the non-linear Schrödinger equation, describing gravity waves in infinite deep water, in the sense of conformable derivative. After getting various travelling wave solutions, we plot 3D, 2D and contour surfaces to present behaviours obtained exact solutions.
Topics & Concepts
Conformable matrixMathematical analysisMathematicsExact solutions in general relativityWork (physics)SineSchrödinger equationFunction (biology)Sine waveDerivative (finance)Plot (graphics)GeometryPhysicsQuantum mechanicsEvolutionary biologyStatisticsBiologyEconomicsFinancial economicsVoltageNonlinear Waves and SolitonsFractional Differential Equations SolutionsNonlinear Photonic Systems