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2021•Theoretical and Mathematical PhysicsOpen access

Explicit breather solution of the nonlinear Schrödinger equation

Robert Conte

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Abstract

Abstract We present a one-line closed-form expression for the three-parameter breather of the nonlinear Schrödinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses generated in optical fibers are indeed such generalized breathers will be drastically simplified.

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Abstract We present a one-line closed-form expression for the three-parameter breather of the nonlinear Schrödinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses generated in optical fibers are indeed such generalized breathers will be drastically simplified.

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Available abstract

Abstract We present a one-line closed-form expression for the three-parameter breather of the nonlinear Schrödinger equation. This provides an analytic proof of the time period doubling observed in experiments. The experimental check that some pulses generated in optical fibers are indeed such generalized breathers will be drastically simplified.

Key concepts: Breather, Nonlinear Schrödinger equation, Nonlinear system, Mathematics, Rogue wave, Physics, Mathematical physics, Mathematical analysis

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