Data driven soliton solution of the nonlinear Schrödinger equation with certain P T-symmetric potentials via deep learning.
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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
Bright-Dark Mixed $N$-Soliton Solution of the Two-Dimensional Maccari System
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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