How plot 2D with inset zoom region?

i want plot 2D with zooming region i try to change something and make it more easier but not give me a better view i want something like the picture

but my code is so different

clear; clc; close all;

% Create high-resolution data for smooth curves
y = linspace(-20, 20, 5000);

% Create simple functions like in your image
exact_func = 0.12 * sech(y/3).^2;  
ladm_func = 0.12 * sech(y/3).^2 .* (1 - 0.001*sin(y*3));

% Main plot
figure('Position', [100, 100, 800, 600]);
plot(y, exact_func, 'b-', 'LineWidth', 3); hold on;
plot(y, ladm_func, 'r--', 'LineWidth', 2);
xlabel('y', 'FontSize', 12);
ylabel('|U(y,t)|^2', 'FontSize', 12);
legend('Exact', 'LADM', 'Location', 'northwest', 'FontSize', 10);
grid on;
xlim([-20, 20]);
ylim([0, 0.13]);

% Define zoom region
zoom_x_center = 8;
zoom_y_center = 0.01;

% Draw simple circle around zoom region
theta = linspace(0, 2*pi, 100);
circle_x = zoom_x_center + 1.5*cos(theta);
circle_y = zoom_y_center + 0.003*sin(theta);
plot(circle_x, circle_y, 'k-', 'LineWidth', 1.5);

% Create inset
axes('Position', [0.6, 0.6, 0.3, 0.25]);
zoom_range = [7.6, 7.7];
zoom_idx = find(y >= zoom_range(1) & y <= zoom_range(2));
plot(y(zoom_idx), exact_func(zoom_idx), 'b-', 'LineWidth', 2); hold on;
plot(y(zoom_idx), ladm_func(zoom_idx), 'r--', 'LineWidth', 2);
xlim([7.60, 7.70]);
ylim([0.0102, 0.0110]);
grid on; box on;
set(gca, 'FontSize', 8);

% Simple arrow
annotation('arrow', [0.5, 0.6], [0.35, 0.6], 'LineWidth', 1.5);

●

fprintf('Simple inset zoom created!\n');

Simple inset zoom created!

Answer 1

[Dyuman Joshi]

Two things -

1. There is no data in the zoom region, as you can see > Select the zoom region as per the values.
2. The zoom region and zoom range don't match > Modify the search parameters accordingly.

I have added comments in the code below, starting with %%

clear; clc; close all;

% Create high-resolution data for smooth curves
y = linspace(-20, 20, 5000);

% Create simple functions like in your image
exact_func = 0.12 * sech(y/3).^2;  
ladm_func = 0.12 * sech(y/3).^2 .* (1 - 0.001*sin(y*3));

% Main plot
figure('Position', [100, 100, 800, 600]);
plot(y, exact_func, 'b-', 'LineWidth', 3); hold on;
plot(y, ladm_func, 'r--', 'LineWidth', 2);
xlabel('y', 'FontSize', 12);
ylabel('|U(y,t)|^2', 'FontSize', 12);
legend('Exact', 'LADM', 'Location', 'northwest', 'FontSize', 10);
grid on;
xlim([-20, 20]);
ylim([0, 0.13]);

% Define zoom region
%% Select zoom region center nearby data points
zoom_x_center = 5;
zoom_y_center = 0.02;

% Draw simple circle around zoom region
theta = linspace(0, 2*pi, 100);
circle_x = zoom_x_center + 1.5*cos(theta);
circle_y = zoom_y_center + 0.003*sin(theta);
plot(circle_x, circle_y, 'k-', 'LineWidth', 1.5);

% Create inset
axes('Position', [0.6, 0.6, 0.3, 0.25]);
%% Specify Zoom range nearby the zoom center
zoom_range = 5+[-0.5 0.5];
zoom_idx = y >= zoom_range(1) & y <= zoom_range(2);
plot(y(zoom_idx), exact_func(zoom_idx), 'b-', 'LineWidth', 2); hold on;
plot(y(zoom_idx), ladm_func(zoom_idx), 'r--', 'LineWidth', 2);
xlim(zoom_range);
%% y-limit will be automatically adjusted
grid on; box on;
set(gca, 'FontSize', 8);

% Simple arrow
%% You can edit the x,y coordinates for arrow as you wish
annotation('arrow', [0.62, 0.65], [0.26, 0.58], 'LineWidth', 1.5);

●

fprintf('Simple inset zoom created!\n');

Simple inset zoom created!