how plot function sine wave in two variable in MATLAB like y(x,t)=a* sin(wt-kx)

i want to plot a model of travelling sin wave

y(x,t)=a* sin(ωt-kx)

at ω=2*π* λ* c ,k=2*π/ λ

t=linspace(0,50,100)

x=linspace(0,50,100)

and then need it to convert it in simulink

Answer 1

[Star Strider]

Provide the appropriate constants, then perhaps this —

% y(x,t)=a* sin(ωt-kx)
% at ω=2*π* λ* c*t       ,k=2*π/ λ

lambda = 6.5

lambda = 6.5000

k = 2*pi/lambda

k = 0.9666

a = 0.75

a = 0.7500

c = 299792458;                                  % m/s

omega = 2*pi*lambda*c;
y = @(x,t) a*sin(omega*t-k*x)

y = function_handle with value:
    @(x,t)a*sin(omega*t-k*x)

t=linspace(0,50,100);
x=linspace(0,50,100);

[T,X] = ndgrid(t, x);

figure
surf(X, T, y(X,T), 'EdgeColor','interp')
colormap(turbo)
xlabel('T')
ylabel('X')
zlabel('y(x,t)')

EDIT — (14 Aug 2023 at 01:22)

Code changed to reflect these updates in the original post:

y(x,t)=a* sin(ωt-kx)

at ω=2*π* λ* c ,k=2*π/ λ

EDIT — (14 Aug 2023 at 03:31)

Incorporated further amendments (changed from previous random values):

‘(a) is const assume =0.75 m and time period =6.5 sec’

.

Answer 2

[Walter Roberson]

syms a c k lambda omega t x
Pi = sym(pi);
k = 2 * Pi / lambda

k = 

omega = 2 * Pi * lambda * c * t

omega = 

y(x, t) = a * sin(omega*t - k * x)

y(x, t) = 

symvar(y)

ans = 

You have provided ranges for x and t, but if we substitute those we end up with expressions in a c lambda. It is quite difficult to make sense of any plot in 5 independent dimensions.

[Rania]

we can assume this is regural wave so the average amplitude (a) is const assume =0.75 m and time period =6.5 sec

[Walter Roberson]

That allows you to assign specific values for a but the time period does not give clear values for c or lambda . Is the time period 1/lambda so lambda = 1 / time period ? If so that would still not define c