Numerical study
Noise Effects on Periodic Soliton
Tracking how stochastic noise intensity κ reshapes the amplitude of a periodic soliton across space and time.
Applied & Computational Mathematics
Tobibur Rahman
Researcher & Aspiring Scientist
Hi, I'm an enthusiastic researcher and aspiring scientist exploring how noise and fractional-order effects reshape solitons and other nonlinear wave structures — then carrying those same numerical tools into messier, real-world signals like river floods and shifting land cover.
|φ(x,t)| — periodic soliton amplitude under stochastic perturbation
Research focus
Solitons, noise, and fractional order
Four linked numerical studies on how stochastic noise and fractional-order derivatives change the behaviour of soliton solutions — amplitude, stability, and growth rate.
Numerical study
Fractional Order & Noise Affect Soliton
Combining fractional-order derivatives with stochastic noise to see how the two effects compound in soliton evolution.
Numerical study
Modulation Instability with Noise
Growth-rate analysis of modulation instability as a function of noise intensity σ, tracked across real and imaginary components.
Numerical study
Fractional Effect on Solitons
Comparing soliton solutions Q(x,t) across fractional orders α, from integer order down to near-integer fractional dynamics.
From theory to the field
Applied computational work
The same numerical instincts, pointed at real, messy data.
Dinajpur, Bangladesh
Flood dynamics modelling
Adapted a fractional stochastic PDE model from Maple into MATLAB and Python — debugging the symbolic-to-numeric conversion until it recovered stable solution families for flood behaviour.
Gazipur District
Land cover change & prediction
Thesis work detecting and predicting land use / land cover change — Random Forest classification over multi-epoch satellite imagery, projected forward with CA-Markov modelling.
Get in touch
Want to get in touch?
Drop me a line.
If you're interested in joining my research team, collaborating, or just want to talk about fractional PDEs and solitons, I'd love to hear from you.
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