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Breather solutions to the focusing nonlinear Schrödinger equation

Masayoshi Tajiri, Y. Watanabe

Open publisher page 164 citations

Abstract

The $N$-breather solution to the focusing nonlinear Schr\"odinger equation is presented. It is shown that the breather is linearly unstable, but the unstable modes are overstabilized and do not destroy the structure of the breather. It is also demonstrated that the breather solution can be constructed as an imbricate series of rational growing-and-decaying modes.

About this research paper

What this paper is about

The $N$-breather solution to the focusing nonlinear Schr\"odinger equation is presented. It is shown that the breather is linearly unstable, but the unstable modes are overstabilized and do not destroy the structure of the breather. It is also demonstrated that the breather solution can be constructed as an imbricate series of rational growing-and-decaying modes.

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OpenAlex reports 164 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

The $N$-breather solution to the focusing nonlinear Schr\"odinger equation is presented. It is shown that the breather is linearly unstable, but the unstable modes are overstabilized and do not destroy the structure of the breather. It is also demonstrated that the breather solution can be constructed as an imbricate series of rational growing-and-decaying modes.

Key concepts: Breather, Nonlinear system, Physics, Nonlinear Schrödinger equation, Series (stratigraphy), Classical mechanics, Quantum electrodynamics, Quantum mechanics

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