Search results for "Nonlinear wave propagation"

showing 2 items of 2 documents

Solutions via double wave ansatz to the 1-D non-homogeneous gas-dynamics equations

2020

Abstract In this paper classes of double wave solutions of the 1D Euler system describing a ideal fluid in the non-homogeneous case have been determined. In order that the analytical procedure under interest to hold, suitable model laws for the source term involved in the governing model were characterized. Finally such a class of exact double wave solutions has been used for solving some problems of interest in nonlinear wave propagation.

PhysicsApplied MathematicsMechanical EngineeringMathematical analysisPerfect fluid02 engineering and technologyGas dynamicsDouble wave solutionsNonlinear wave interactionsEuler system021001 nanoscience & nanotechnologyRiemann problemDouble wave solutions; Hyperbolic systems; Nonlinear wave interactions; Riemann problemTerm (time)Nonlinear wave propagationHyperbolic systems020303 mechanical engineering & transports0203 mechanical engineeringMechanics of MaterialsNon homogeneousOrder (group theory)0210 nano-technologySettore MAT/07 - Fisica MatematicaAnsatz
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Optical solitons in erbium doped fibers with higher order effects

2000

Abstract We consider the coupled system of higher order nonlinear Schrodinger equation and Maxwell–Bloch (HNLS–MB) equations, which governs the nonlinear wave propagation in erbium doped optical waveguides in presence of important higher order effects. We present the Lax pair and using Backlund transformation exact soliton solutions are generated.

PhysicsCondensed matter physicsDopingPhysics::OpticsGeneral Physics and Astronomychemistry.chemical_elementErbiumNonlinear wave propagationsymbols.namesakeNonlinear Sciences::Exactly Solvable and Integrable SystemsTransformation (function)chemistryLax pairsymbolsOrder (group theory)SolitonAtomic physicsNonlinear Sciences::Pattern Formation and SolitonsNonlinear Schrödinger equationPhysics Letters A
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