Scientific interests: Painleve ordinary differential equations, their higher analogues and applications, behaviour of solutions of PDE with small parameter near typical singularities of limiting equations. It is shown that universal special functions of wave catastrophes - solutions of nonlinear integrable PDE - are solutions of higher analogues of Painleve ODE.
Main publications:
Suleimanov B. I., Khabibullin I. T. Simmetrii uravneniya Kadomtseva–Petviashvili, izomonodromnye deformatsii i "nelineinye" obobscheniya nelineinykh spetsialnykh funktsii volnovykh katastrof // Teoreticheskaya i matematicheskaya fizika, 1993, 97, 2, 213–226.
Suleimanov B. I. Vozniknovenie bezdissipativnykh udarnykh voln i "neperturbativnaya" kvantovaya teoriya gravitatsii // Zhurnal eksperimentalnoi i teoreticheskoi fiziki, 1994, 105, 5, 1089–1097.
Suleimanov B. I. Gamiltonova struktura uravnenii Penleve i metod izomonodromnykh deformatsii // Differentsialnye uravneniya, 1994, 30, 5, 791–795.
Kudashev V. R., Suleimanov B. I. Osobennosti nekotorykh tipichnykh protsessov samoproizvolnogo padeniya intensivnosti v neustoichivykh sredakh // Pisma v zhurnal eksperimentalnoi i teoreticheskoi fiziki, 1995, 62, 4, 358–363.
Kudashev V. R., Suleimanov B. I. Vliyanie maloi dissipatsii na protsessy zarozhdeniya odnomernykh udarnykh voln // Prikladnaya matematika i mekhanika. 2001, 65, 3, 456–466.
