Jacobe supta

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These are replies submitted by escorpsy

@Rouben Rostamian  Thank you for your answer. 

I made a mistake in writing the denominator!


Thank you for your time


Absolutely right , i want to obtain  [ Omega, alpha, beta, k] in terms of the others.

@Rouben Rostamian  

 I want to calculate the integral of " L"  for some solution of the equations of motion over some period of time. your solution just try to obtain equation of motion. the solution must be set into the Lagrangian and then you must integral over some period of time. The final result must have a shape like "A".





@John Fredsted  I made a mistake. you can take the end of time "t=t_0" or other thing else you like. It is a constant and doesn't matter. I don't understand what do you mean about "locf". where I mentioned to this quantity?

@John Fredsted yes I used from this package and obtained the equation of motion but my problems is the next step: when I must use from these solution, put into "L" and integrate it from "t=0" to "t=L". I must obtain at last a solution like "A" regardless what is the constants "a, b, s, L" 

PS: z(t)[h] is a constant as well and not be important

@Rouben Rostamian  

No I just want to solve the Euler-Lagrange equation for "L" and find equation of motions and then extermise "L" by them. I can't reach to a solution like "A" and I don't know where the problem is. I edited the maple file:


I am soory for the late. at the maple file attached here I describe the procedure  step by step. I hope it has enough clarification.

Thank you for your time 


First of all, I really appreciate your help.

I know what is happening physically but dont know how to translate to maple language.

let me try to explain what is happening there ,

we have a differential equation (3.3) ( i replaced theta by t ) , you solved numerically ( with your values for paramters M,l,C,Q,a,w) and find r against t diagram . now auther insert that in (3.2) then integrated  ( with theta_0=0.16 and r(0.159) ) and studied the relation between (3.2) and (2.6 T not t) that is figure 3 .

well how to find r(t) from your plot and integrate (3.2)


thank you for your help


actually this differential equation is equation 3.3 In the below paper which authors solved numerically..



thanks for the point you indicated , it was really crucial point .


considering your point i did two example , i think i have problem with one of them.



thanks in advance



uptodated worksheet

still no answer !!

@Carl Love  @tomleslie @Preben Alsholm


my goal is to find the values of alpha and beta and gamma and lambda so that can solve equations ( and so now i have two equations f(alpha,beta,gamma,lambda,w)=0 and g(alpha,beta,gamma,lambda,w)=0 by and respectively , so there is exist the values of alpha and beta and gamma and lambda so that can solve de2 and corrected equations ?


how can i check this case ?


thank you guys

@tomleslie @Preben Alsholm


i have 5 differential equation which this one is one of them , so this differential equations are very complicated i guess a solution as above and put in equations to see what's happening.


this one is another one and i did your method for getting better looking result but still it has ugly face !



** i corrected the worksheet**


diff(A(r),r)^2 is correct or (diff(A(r),r))^2 for A'^2 ?


can numerical method for differential equation help us for this equations ?



thank you in advance guys



thanks so much , its looking so pretty now . i see Q ( its a constant , actually it is phi_0) is not involved in result equation , is not it strange ?

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