Group analysis, differential equations,mathematical physics, mathematical modelling, Riemannian geometry.
Main publications:
N.Kh. Ibragimov, “Konformanaya invariantnost i printsip Gyuigensa”, Doklady Akademii nauk SSSR, 194:1 (1970), 24-27
N.Kh. Ibragimov, “Invariantnye variatsionnye zadachi i zakony sokhraneniya (zamechaniya k teoreme Neter)”, Teoreticheskaya i matematicheskaya fizika, 1:3 (1969), 350-359
N.Kh. Ibragimov, “K teorii grupp preobrazovanii Li-Beklunda”, Matematicheskii sbornik, 109 (151):2 (1979), 229-253
N.Kh. Ibragimov, Gruppy preobrazovanii v matematicheskoi fizike, Nauka, Moskva, 1983
N.H. Ibragimov, A practical course in differential equations and mathematical modelling., Russkii per.: Prakticheskii differentsialnykh uravnenii i matematicheskogo modelirovaniya. Fizmatlit. 2012, Higher Education Press and World Scientific, Beijing, Singapore, 2009
