Why doesn’t my figure look correct? Is there something wrong with it?

Question

salim 2024-12-16

0
链接

此问题的直接链接

https://ww2.mathworks.cn/matlabcentral/answers/2172196-why-doesn-t-my-figure-look-correct-is-there-something-wrong-with-it

评论： salim 2024-12-17

In stochastic processes, the Brownian motion should appear throughout the entire function, but in my figure, it only appears at the top. What could be causing this mistake? I consulted an expert in stochastic processes, and they confirmed that this is an error. How can I fix it? i am looking for a plot like that

% Parameters

n = 1;

A = 1; % Amplitude

B = 1; % Width parameter of soliton

v = 1; % Velocity of soliton

alpha = 1; % Nonlinearity parameter

beta = 0.1; % Dispersion parameter

gamma = 0.05; % Noise intensity for multiplicative noise

% Grid for xi and time

xi = linspace(-20, 20, 2000); % Spatial range in transformed coordinates

t = linspace(-20, 20, 2000); % Time range

dt = t(2) - t(1); % Time step

% Generate Wiener process (increments) for time

W = cumsum(sqrt(dt) * randn(size(t))); % Wiener process for each time step

W = gamma * W; % Scale Wiener process by gamma

% Define initial soliton profile (deterministic solution)

u_deterministic = abs(((tanh(0.192e3 ./ 0.35e2 .* t' + xi) - 0.1e1) .^ (0.1e1 ./ 0.4e1)) .* exp(i * (-0.3e1 .* xi - 0.8e1 * t' + (3 .* W' ))));

% Ensure u_deterministic has the correct dimensions (time x space)

if size(u_deterministic, 1) ~= length(t) || size(u_deterministic, 2) ~= length(xi)

error('Mismatch in dimensions of u_deterministic. Check calculations.');

end

% Initialize storage for the stochastic solution

u_stochastic = zeros(length(t), length(xi));

% Time evolution

for n = 1:length(t)

% Apply the Wiener noise factor at time step n

noise_factor = 1 + W(n);

% Update solution with multiplicative noise

u_stochastic(n, :) = u_deterministic(n, :) * noise_factor;

end

% Plot the 3D surface of the stochastic Kudryashov soliton

figure;

surfc(xi, t, u_stochastic, 'EdgeColor', 'none');

xlabel('Transformed Space (\xi)');

ylabel('Time (t)');

zlabel('Amplitude (u)');

title('Stochastic Kudryashov Soliton Solution with Multiplicative Noise (Wiener Process)');

colormap jet;

color

4 个评论
显示 2更早的评论隐藏 2更早的评论

Mathieu NOE 2024-12-17

hello again @salim saeed

no , un fortunately this is not a topic I a working on... sorry . As I said I had some luck finding the paper from which you extracted the figure , but I just see that between the two plots there are differences (the publication mention S1 plot and S4 plot , so I wonder if you are comparing the same type of plots).

also I didn't recognize the equations you used in the code vs the one in the publication but maybe you have cretaed your plots from another reference - it could be beneficial to share as well the references you used.

salim 2024-12-17

@Mathieu NOE This is my own solution, and I need assistance with the plotting part. If you know of any plotting techniques or tools or something similar, please share them with me.

请先登录，再进行评论。

请先登录，再回答此问题。

Why doesn’t my figure look correct? Is there something wrong with it?

4 个评论
显示 2更早的评论隐藏 2更早的评论

回答（0 个）

另请参阅

类别

标签

产品

版本

Community Treasure Hunt

Why doesn’t my figure look correct? Is there something wrong with it?

4 个评论 显示 2更早的评论隐藏 2更早的评论

回答（0 个）

另请参阅

类别

标签

产品

版本

Community Treasure Hunt

4 个评论
显示 2更早的评论隐藏 2更早的评论