Find intersections of curves

hello, I have the following two formulas and I want to know How can I find the intersection point of the two curves and how to mark it on the graph?

syms bL
ab=8.0901*10^(-5);
f12=ab*sinh(2*bL);
f22=sin(2*(ab)*bL);
fplot(bL,f12,'-or');
hold on
fplot(bL,f22,'-ob');

thank you

Answer 1

[Matt J]

syms bL
ab=8.0901*10^(-5);
f12=ab*sinh(bL);
f22=sin(2*(ab)*bL);

bLmax=fzero(matlabFunction(f12-f22)  ,2 );
rts=[-bLmax,0,+bLmax];
fnum=matlabFunction(f12);

fplot(bL,f12,'-r');
hold on
fplot(bL,f22,'-b');
plot(rts,fnum(rts),'ok','MarkerFaceColor','k')
hold off

xlim([-3,3])
ylim([-0.001,0.001])

Answer 2

[Torsten]

bL = 0 is the intersection point.

hold on
plot(0,0,'.')

[SAM]

I want a value other than 0

[Torsten]

  a = 8.0901e-5;
  fun1 = @(a,x) a*sinh(x);
  fun2 = @(a,x) sin(2*a*x);
  f=@(a,x)fun1(a,x)-fun2(a,x)
  x1 = fzero(@(x)f(a,x),[2,2.5])
  x2 = fzero(@(x)f(a,x),[-3,-2])
  x=-2.5:0.01:2.5;
  plot(x,fun1(a,x))
  hold on
  plot(x,fun2(a,x))
  hold on
  plot(x1,fun1(a,x1),'.')
  hold on
  plot(x2,fun1(a,x2),'.')
  hold on
  plot(0,0,'.')

Answer 3

[Sam Chak]

@Shahd Kasas

Try performing analysis on the problem first, before quickly attempting to solve it. The hyperbolic sine is unbounded. Do you think there are intersections other than the trivial solution at bL = 0? Seems there are another two at .