Solitons, dispersive shock waves and Noel Frederick Smyth.

Noel Frederick Smyth (NFS), a Fellow of the Australian Mathematical Society and a Professor of Nonlinear Waves in the School of Mathematics at the University of Edinburgh, passed away on February 5, 2023. NFS was a prominent figure among applied mathematicians who worked on nonlinear wave theory in a broad range of areas. Throughout his academic career, which spanned nearly forty years, NFS developed mathematical models, ideas, and techniques that have had a large impact on the understanding of wave motion in diverse media. His major research emphasis primarily involved the propagation of solitary waves, or solitons, and dispersive shock waves, or undular bores, in various media, including optical fibers, liquid crystals, shallow waters and atmosphere. Several approaches he developed have proven effective in analyzing the dynamics and modulations of related wave phenomena. This tribute in the journal of Wave Motion aims to provide a brief biographical sketch of NFS, discuss his major research achievements, showcase his scientific competence, untiring mentorship and unwavering dedication, as well as share final thoughts from his former students, colleagues, friends, and family. The authors had a special connection with NFS on both on personal and professional levels and hold deep gratitude for him and his invaluable work. In recognition of his achievements in applied mathematics, Wave Motion hosts a Special Issue entitled "Modelling Nonlinear Wave Phenomena: From Theory to Applications," which presents the recent advancements in this field. • Biography of Noel Frederick Smyth. • Smyth's major contributions to nonlinear dispersive wave theory outlined. • Recent advances on the study of solitons and dispersive shock waves discussed. • Emerging trends on non-convex dispersive hydrodynamics considered. • Connection of nonlinear waves to the Special Issue emphasized. [ABSTRACT FROM AUTHOR]