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   Articles with "soliton solution" as a keyword



Data driven soliton solution of the nonlinear Schrödinger equation with certain P T-symmetric potentials via deep learning.

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recommendations! Published in 2022 at "Chaos"

DOI: 10.1063/5.0086038

Abstract: We investigate the physics informed neural network method, a deep learning approach, to approximate soliton solution of the nonlinear Schrödinger equation with parity time symmetric potentials. We consider three different parity time symmetric potentials, namely,… read more here.

Keywords: symmetric potentials; soliton solution; deep learning; equation ... See more keywords

Quasi-soliton solution to the model of two-color optical waves in PT-symmetry structures.

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recommendations! Published in 2025 at "Chaos"

DOI: 10.1063/5.0282090

Abstract: Soliton propagation of laser radiation in various nonlinear media is of great importance because of its numerous applications. Active periodic structures with parity-time symmetry provide the possibility for the solitons generation due to the balance… read more here.

Keywords: quasi soliton; soliton solution; solution; model ... See more keywords
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Bright-Dark Mixed $N$-Soliton Solution of the Two-Dimensional Maccari System

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recommendations! Published in 2017 at "Chinese Physics Letters"

DOI: 10.1088/0256-307x/34/7/070202

Abstract: The general bright-dark mixed N-soliton solution of the two-dimensional Maccari system is obtained with the KP hierarchy reduction method. The dynamics of single and two solitons are discussed in detail. Asymptotic analysis shows that two… read more here.

Keywords: solution two; mixed soliton; two dimensional; bright dark ... See more keywords

A view of optical soliton solution of the coupled Schrödinger equation with a different approach

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recommendations! Published in 2024 at "Physica Scripta"

DOI: 10.1088/1402-4896/ad5ec4

Abstract: The goal of this study is to investigate to optical soliton solution of the nonlinear coupled space-time Schrödinger equation using the Beta derivative and Sine-Gordon Expansion Method. All calculations in this study are made using… read more here.

Keywords: optical soliton; soliton solution; schr dinger; dinger equation ... See more keywords