Search results for "Lax pair"

showing 3 items of 3 documents

The Complete Solution of the Classical SL(2,ℝ/U(1) Gauged WZNW Field Theory

1998

We prove that any gauged WZNW model has a Lax pair representation, and give explicitly the general solution of the classical equations of motion of the SL(2,R)/U(1) theory. We calculate the symplectic structure of this solution by solving a differential equation of the Gelfand-Dikii type with initial state conditions at infinity, and transform the canonical physical fields non-locally onto canonical free fields. The results will, finally, be collected in a local B\"acklund transformation. These calculations prepare the theory for an exact canonical quantization.

High Energy Physics - TheoryDifferential equationCanonical quantizationFOS: Physical sciencesEquations of motionStatistical and Nonlinear PhysicsState (functional analysis)Type (model theory)Nonlinear Sciences::Exactly Solvable and Integrable SystemsHigh Energy Physics - Theory (hep-th)Lax pairField theory (psychology)Mathematical PhysicsSymplectic geometryMathematical physicsMathematicsCommunications in Mathematical Physics
researchProduct

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
researchProduct

An exact soliton solution for an averaged dispersion-managed fibre system equation

2001

We consider the nonlinear wave propagation in an averaged dispersion-managed (DM) fibre system. We present the explicit Lax pair with a variable spectral parameter and derive the exact soliton solution using the Backlund transformation. A similar study is also carried out for simultaneous propagation of N nonlinear pulses in the averaged DM fibre system.

PhysicsOptical fiberMathematical analysisGeneral Physics and AstronomyStatistical and Nonlinear Physicslaw.inventionNonlinear systemNonlinear Sciences::Exactly Solvable and Integrable SystemsTransformation (function)lawLax pairDispersion managedSolitonReduction (mathematics)Mathematical PhysicsVariable (mathematics)Journal of Physics A: Mathematical and General
researchProduct