{"690961":{"#nid":"690961","#data":{"type":"news","title":"Advances in Wave Mathematics: Gong Chen Awarded CAREER Grant for Soliton Research","body":[{"value":"\u003Cp dir=\u0022ltr\u0022\u003EWaves play a central role in systems ranging from fluids to fiber optics, yet their long-term behavior can be difficult to predict.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u003Ca href=\u0022https:\/\/math.gatech.edu\/people\/gong-chen\u0022\u003EGong Chen\u003C\/a\u003E, assistant professor in the\u003Ca href=\u0022https:\/\/math.gatech.edu\/\u0022\u003E\u0026nbsp;School of Mathematics\u003C\/a\u003E, has received a\u003Ca href=\u0022https:\/\/www.nsf.gov\/awardsearch\/show-award\/?AWD_ID=2540992\u0022\u003E\u0026nbsp;$450,000 National Science Foundation Faculty Early Career Development (CAREER) Award\u003C\/a\u003E to study the long-term behavior of solitons \u2014\u0026nbsp;coherent, particle-like waves observed across physics and mathematics.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EWhile most waves spread out as they disperse (for example, ripples on water), a soliton is different: it can keep a coherent shape while moving, and in some cases, it can interact with other waves and still emerge recognizable afterward.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cSolitons are important because they appear across many areas of science, including fluid dynamics, optics, plasma physics, field theory, and models from mathematical physics,\u201d says Chen. \u201cFrom a mathematical point of view, they are a beautiful testing ground for understanding nonlinear behavior.\u201d\u003C\/p\u003E\u003Ch2\u003E\u003Cstrong\u003EPredicting Waves\u003C\/strong\u003E\u003C\/h2\u003E\u003Cp dir=\u0022ltr\u0022\u003EAccording to Chen, a guiding idea in the field is that complex nonlinear waves may eventually resolve into a collection of stable solitons alongside dispersive radiation \u2014 the more diffuse portion of the wave that spreads out and weakens. Chen\u2019s research focuses on how these waves behave over long periods of time, especially when multiple solitons interact.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cIf we start with a complicated nonlinear wave, can we predict what it will look like far in the future?\u201d asks Chen. \u201cI want to understand not just whether a wave is stable, but how it evolves: how stability can fail, how energy is exchanged, and how complicated wave motion eventually organizes itself.\u201d\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EHis work examines multi-soliton systems and more complex wave structures, including topological solitons, where long-range interactions and internal fluctuations make the mathematics more challenging.\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EChen is developing new mathematical frameworks tailored to these moving and interacting waves, including tools from spectral theory and nonlinear scattering. These approaches allow researchers to analyze wave behavior with new precision in settings where existing methods are limited.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EA key part of this work involves nonlinear dispersive equations, which capture the competing effects that shape wave systems.\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cA complicated wave may contain several solitons, some radiation that spreads away, and small oscillations trapped near the solitons,\u201d explains Chen. \u201cNonlinear dispersive equations allow us to ask precise questions: Which part of the wave persists? Which part disperses? How much energy is released during a collision? Does the system eventually simplify into solitons plus radiation?\u201d\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EAlthough the work is theoretical, it strengthens the foundation for models used widely in science and engineering.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cA better theoretical understanding of solitons and dispersive waves improves the reliability of these models,\u201d Chen says. \u201cIt helps us know when coherent structures should persist, when they should radiate energy, and when instability or collision effects may change the outcome.\u201d\u003C\/p\u003E\u003Ch2\u003E\u003Cstrong\u003EBeyond Research: Teaching and Impact\u003C\/strong\u003E\u003C\/h2\u003E\u003Cp dir=\u0022ltr\u0022\u003EChen plans to use the CAREER Award to integrate research and education. He is organizing a summer school focused on dispersive waves and developing new courses, including a second-level course in partial differential equations that emphasizes connections to physical phenomena.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cThe CAREER Award provides the stability and long-term support needed to pursue a coherent research program rather than isolated projects,\u201d says Chen. \u201cFor me, the award is especially meaningful because the research and education components are closely connected.\u201d\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EChen aims to help students connect mathematical theory with real-world phenomena.\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EFor Chen, that connection is what makes the field compelling.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u201cOne point I would emphasize is that soliton dynamics is a place where abstract mathematics meets very intuitive physical pictures,\u201d says Chen. \u201cUnderstanding when that particle-like behavior persists, when it breaks down, and what remains afterward is both mathematically deep and scientifically natural.\u201d\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003EThe NSF Faculty Early Career Development Program is a five-year grant designed to help promising researchers establish a foundation for a lifetime of leadership in their field. Known as CAREER awards, the grants are NSF\u2019s most prestigious funding for early-career faculty.\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u0026nbsp;\u003C\/p\u003E\u003Cp dir=\u0022ltr\u0022\u003E\u0026nbsp;\u003C\/p\u003E","summary":"","format":"limited_html"}],"field_subtitle":"","field_summary":[{"value":"\u003Cp\u003EWith support from\u003Cstrong\u003E\u0026nbsp;\u003C\/strong\u003Ean NSF CAREER Award, Gong Chen is advancing new mathematical frameworks to predict how complex wave systems evolve\u0026nbsp;\u2014\u0026nbsp;\u0026nbsp;unlocking deeper insights into solitons, the rare waves that hold their shape while traveling at a constant speed.\u003C\/p\u003E","format":"limited_html"}],"field_summary_sentence":[{"value":"With support from an NSF CAREER Award, Gong Chen is advancing new mathematical frameworks to predict how complex wave systems evolve \u2014  unlocking deeper insights into solitons, the rare waves that hold their shape while traveling at a constant speed."}],"uid":"36607","created_gmt":"2026-06-29 14:51:53","changed_gmt":"2026-06-29 17:23:30","author":"ls67","boilerplate_text":"","field_publication":"","field_article_url":"","location":"Atlanta, GA","dateline":{"date":"2026-06-29T00:00:00-04:00","iso_date":"2026-06-29T00:00:00-04:00","tz":"America\/New_York"},"extras":[],"hg_media":{"678904":{"id":"678904","type":"image","title":"Gong Chen","body":"\u003Cp\u003EGong Chen\u003C\/p\u003E","created":"1767127050","gmt_created":"2025-12-30 20:37:30","changed":"1767127050","gmt_changed":"2025-12-30 20:37:30","alt":"Man sitting in wall in front of brick building.","file":{"fid":"263000","name":"IMG_7035-2.png","image_path":"\/sites\/default\/files\/2025\/12\/30\/IMG_7035-2.png","image_full_path":"http:\/\/hg.gatech.edu\/\/sites\/default\/files\/2025\/12\/30\/IMG_7035-2.png","mime":"image\/png","size":4852545,"path_740":"http:\/\/hg.gatech.edu\/sites\/default\/files\/styles\/740xx_scale\/public\/2025\/12\/30\/IMG_7035-2.png?itok=OJKdlm_g"}}},"media_ids":["678904"],"related_links":[{"url":"https:\/\/math.gatech.edu\/news\/chen-named-bergman-fellow","title":"Chen Named Bergman Fellow"}],"groups":[{"id":"1278","name":"College of Sciences"},{"id":"1279","name":"School of Mathematics"}],"categories":[{"id":"135","name":"Research"}],"keywords":[{"id":"192249","name":"cos-community"},{"id":"7842","name":"NSF CAREER Award"},{"id":"193356","name":"cos-math"},{"id":"173647","name":"_for_math_site_"},{"id":"193733","name":"_for_math_site_manual_feed_"}],"core_research_areas":[],"news_room_topics":[],"event_categories":[],"invited_audience":[],"affiliations":[],"classification":[],"areas_of_expertise":[],"news_and_recent_appearances":[],"phone":[],"contact":[{"value":"\u003Cp\u003ELaura S. Smith, writer\u003C\/p\u003E","format":"limited_html"}],"email":["laura.smith@cos.gatech.edu"],"slides":[],"orientation":[],"userdata":""}}}