As a faculty member in the Department of Mathematics at SR University, I specialize in non-linear partial differential equations, dynamical systems, wave dynamics, and integer and fractional calculus. My research applies analytical methods and integrable systems to model complex phenomena in fluid dynamics, plasma physics, and solid mechanics. Combining theoretical derivation with computational mechanics in Mathematica, MATLAB, and Python, I drive both symbolic and numerical investigations. My teaching portfolio encompasses ordinary and partial differential equations, real and complex analysis, linear algebra, statistics, and computational mathematics. Through dedicated mentorship, I link deep mathematical theory with real-world engineering challenges, equipping the next generation of scholars with robust research aptitude and problem-solving skills.