Solitary Wave
Solitary waves, self-reinforcing waves maintaining their shape and speed during propagation, are studied across diverse fields to understand their dynamics and applications. Current research focuses on developing novel machine learning models, including physics-informed neural networks and scale-translation equivariant convolutional neural networks, to efficiently simulate, predict, and analyze solitary wave behavior in various contexts, such as oceanography and acoustics. These advancements improve our ability to model complex systems and extract meaningful information from large datasets, impacting fields ranging from tsunami detection to ship performance optimization. The development of more efficient and accurate computational methods for solitary wave analysis is driving progress in diverse scientific and engineering disciplines.