General Research Theme: Applied Analysis & Mathematical Physics (AAMP)
1. Functional Integrals in Mathematical Physics:
Formalization of Feynman Integral.
Applications in Theoretical Physics: Basic String Theory.
2. Non Linear Waves:
Mathematics and Physics of Solitons: Extension of IST (Inverse Scattering Technique), Multidimensional Solitons, Integrable Systems (Infinite Dimensional Hamiltonian Systems), Strings, Hirota & Sato Formalisms.
Mathematical Modelling of Surface Waves, Ocean & Seismic Waves.
3. Engineering & Industrial Mathematics: Mechanics & Environmental-Based Modelling Techniques & Problems
4. Philosophy of Mathematical Sciences & Applicable Mathematics Education: Islamic Science, Engineering & Industrial (STEM-related) Mathematics Curriculum Development.
