Sometimes I have to get my hands dirty while doing research

01
Soliton-3d
3D surface plot showing a sharp, symmetrical peak centered at origin on a graph with axes labeled t, x, and φ.3D plot showing three wave-like surfaces in blue, cyan, and orange colors, representing values for ρ=0.01, ρ=0.02, and ρ=0.03 over time t and variable x with vertical axis labeled phi.3D surface plot of a soliton wave with axes labeled t, x, and φ, and the parameter r set to -2.0, showing a colorful peaked shape transitioning from blue to red.
02
Soliton-2d
Graph of four colored curves showing soliton solutions with parameter c values -1.10, -1.20, -1.30, and -1.40, plotted against x from -5 to 5, with ϕ on the y-axis.Line graph with three oscillating curves labeled ρ=0.001, ρ=0.002, and ρ=0.003 plotted against x-axis from 0 to 30 and y-axis from 7.1 to 7.8 with pink background.Animated graph showing a soliton wave traveling along the x-axis, with the wave peak moving smoothly from left to right.
03
Soliton Contour
Contour plot with diagonal gradient bands in colors from dark blue to red across x and t axes ranging from -3 to 3.Color contour plot showing three sections with different functions β(t)=1×cos(t), β(t)=2×cos(t), and β(t)=3×cos(t) along the x-axis from 0 to 70 and t-axis from 0 to 30.
04
Navier-Stokes Equations
Colorful simulation of fluid flow around a circular obstacle showing velocity gradients in a rectangular domain with X and Y axes labeled in meters.Heatmap and vector field showing fluid flow around a circular obstacle, with red arrows indicating flow direction and a color scale from blue to red indicating velocity magnitude.
05
Quantum Mechanics
Two mathematical expressions showing wave function psi as a product of u(r,z), an exponential term with imaginary time it/2, and an exponential with imθ in the first and square root of negative theta in the second.
06
Quantum Computing
Quantum circuit diagram with three qubits showing resets to zero states, quantum gates including Hadamard and CNOT, measurements, and classically conditioned Z and X quantum gates.
07
Soliton polar
3D colorful plot of a soliton-like shape with upper and lower lobes, spanning t and x axes from -8 to 8.
08
Soliton-Real Time Simulation
Close-up of a flowing, wavy blue fabric against a plain gray background.
09
Chaos
3D plot of Lorenz attractor with green lines forming two butterfly-shaped lobes labeled with axes X, Y, and Z.3D plot of a Lorenz attractor showing chaotic trajectories in red with axes labeled X, Y, and Z.3D wireframe plot of a toroidal shape with X, Y, Z axes and a legend indicating ψ(t)=0.99.
10
Fractals
Plot of the Mandelbrot fractal set with a white central shape and red surrounding area, labeled with (Re) and (Im) axes.
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