Please help me in solving the given coupled differential equation? Please also tell me the numerical recipe availabe in matlab for handling such equations.

Please help to solve given differential equation numerically.

[Captain Rituraj Singh]

[Torsten]

Can you give us an idea where this kind of differential equations appear ? They look quite unusual.

[Captain Rituraj Singh]

These types of equations appear in the research areas of theoretical high energy physics. If you have idea how to solve such equations numerically through MATLAB.

Answer 1

[Torsten]

MATLAB has no tools to solve this kind of equations.

I guess they are hyperbolic in nature - so take a look at CLAWPACK:

https://www.clawpack.org/

But I doubt you will be able to handle equations of this generality.

Can you give a literature link where equations like these are used ?

[Captain Rituraj Singh]

These are modified equation of original form of the equationwhich can not be make public. I don't know why are you so much intersted to look into the related literature. If I belive you in that case using matlab we can solve such types of equations. Right?

Thank for your response

[Torsten]

I don't know why are you so much intersted to look into the related literature.

If equations are so far away from the standard, usually methods to solve them are suggested in the literature where they are used. I'm not a western spy :-)

If I belive you in that case using matlab we can solve such types of equations. Right?

It means there is no ready-to-use solver in MATLAB for this type of equations. But you are of course free to write your own application. In your case, this would most probably lead to a system of nonlinear equations. You can then use "fsolve" to solve it. But I'd suggest having a look into the software I linked to and see whether there is an example that comes close to your case.

[Captain Rituraj Singh]

If equations are so far away from the standard, usually methods to solve them are suggested in the literature where they are used. I'm not a western spy :-)

If you are s spy then aslo it aslo doesn't matter :-), the basic equations related to this problem are already available in the given link https://doi.org/10.48550/arXiv.2302.07668. The present equations are based on these, may be I can send you the all set of equation in your personel mail id. Then you might be able to help me better.

Sure I will take a look at CLAWPACK and thanks for sharing.

[Star Strider]

@Captain Rituraj Singh — The link is broken.

[Torsten]

@Star Strider

The dot at the end of the link has to be removed.

[Captain Rituraj Singh]

Please click on this link https://doi.org/10.48550/arXiv.2302.07668

You may look Eq. 29, 33 and 34 these equations I solved using MATLAB. The Above mentioned equation are just the extension and modified version of Eq. 29 and 34.