Data-driven discoveries of Bäcklund transforms and soliton evolution equations via deep neural network learning schemes

no code implementations • 18 Nov 2021 • Zijian Zhou, Li Wang, Weifang Weng, Zhenya Yan

We introduce a deep neural network learning scheme to learn the B\"acklund transforms (BTs) of soliton evolution equations and an enhanced deep learning scheme for data-driven soliton equation discovery based on the known BTs, respectively.