Search for rogue waves in Bose-Einstein condensates via a theory-guided neural network

Bai，Xiao Dong1; Zhang，Dongxiao2

2022-08-01

10.1103/PhysRevE.106.025305

Physical Review E   Impact Factor & Quartile

2470-0045

2470-0053

An important and incompletely answered question is whether machine learning methods can be used to discover the excitation of rogue waves (RWs) in nonlinear systems, especially their dynamic properties and phase transitions. In this work, a theory-guided neural network (TgNN) is constructed to explore the RWs of one-dimensional Bose-Einstein condensates. We find that such method is superior to the ordinary deep neural network due to theory guidance of underlying problems. The former can directly give any excited location, timing, and structure of RWs using only a small amount of dynamic evolution data as the training data, without the tedious step-by-step iterative calculation process. In addition, based on the TgNN approach, a phase transition boundary is also discovered, which clearly distinguishes the first-order RW phase from the non-RW phase. The results not only greatly reduce computational time for exploring RWs, but also provide a promising technique for discovering phase transitions in parameterized nonlinear systems.

SCI ; EI

English

Corresponding

Physics

Physics, Fluids & Plasmas ; Physics, Mathematical

WOS:000862890200008

AMER PHYSICAL SOC

20223412609271

Bose-Einstein condensation ; Computation theory ; Deep neural networks ; Iterative methods ; Learning systems ; One dimensional ; Statistical mechanics

Ergonomics and Human Factors Engineering:461.4 ; Computer Theory, Includes Formal Logic, Automata Theory, Switching Theory, Programming Theory:721.1 ; Numerical Methods:921.6 ; Mathematical Statistics:922.2 ; Mechanics:931.1 ; Physical Properties of Gases, Liquids and Solids:931.2 ; Atomic and Molecular Physics:931.3 ; Systems Science:961

PHYSICS

2-s2.0-85136104670

Scopus

1.Department of Mathematics and Theories,Peng Cheng Laboratory,Shenzhen,Guangdong,518055,China
2.National Center for Applied Mathematics Shenzhen (NCAMS),Southern University of Science and Technology,Shenzhen,Guangdong,518055,China

Bai，Xiao Dong,Zhang，Dongxiao. Search for rogue waves in Bose-Einstein condensates via a theory-guided neural network[J]. Physical Review E,2022,106(2).

Bai，Xiao Dong,&Zhang，Dongxiao.(2022).Search for rogue waves in Bose-Einstein condensates via a theory-guided neural network.Physical Review E,106(2).

Bai，Xiao Dong,et al."Search for rogue waves in Bose-Einstein condensates via a theory-guided neural network".Physical Review E 106.2(2022).