Soliton profiles in 1D: Classical numerical schemes vs. neural network-based solvers Article

Haight, Chandler, Roudenko, Svetlana, Wang, Zhongming. (2026). Soliton profiles in 1D: Classical numerical schemes vs. neural network-based solvers . Chaos, Solitons and Fractals, 210 10.1016/j.chaos.2026.118646

cited authors

  • Haight, Chandler; Roudenko, Svetlana; Wang, Zhongming

authors

publication date

  • September 1, 2026

published in

keywords

  • APPROXIMATION
  • Deep operator network
  • EQUATION
  • Finite-difference
  • Fourier neural operator
  • GROUND-STATES
  • Ground state
  • INSTABILITY
  • ITERATION METHOD
  • Mathematics
  • Mathematics, Interdisciplinary Applications
  • Petviashvili's method
  • Physical Sciences
  • Physics
  • Physics, Mathematical
  • Physics, Multidisciplinary
  • Physics-informed neural networks
  • STABILITY THEORY
  • Science & Technology
  • Solitary wave
  • WAVES

Digital Object Identifier (DOI)

publisher

  • PERGAMON-ELSEVIER SCIENCE LTD

volume

  • 210