- #1
hanson
- 319
- 0
Hi all.
I have seen a lot of different forms of the KdV equation...
The derivation of it results in a form like
Ut+Ux+epsilon(UUx+Uxxx)=0
and after some transformation, the epsilon is removed the equation becomes
Ut+Ux+UUx+Uxxx=0, and, still, after some sort of transformation, it becomes the standard KdV..
Ut+6UUx+Uxxx=0
I just don't know what the physical meaning of these transformation is...
Sometimes the times scale is magnified, what does it mean? does it mean the solitary wave have to be observed in a fast motion or what?
So many doubts.
I am wondering if someone can write a full paragraph explaining the meanings of individual transformation and the form of KdV arrived by that transformation.
Please give me some clues...
I have seen a lot of different forms of the KdV equation...
The derivation of it results in a form like
Ut+Ux+epsilon(UUx+Uxxx)=0
and after some transformation, the epsilon is removed the equation becomes
Ut+Ux+UUx+Uxxx=0, and, still, after some sort of transformation, it becomes the standard KdV..
Ut+6UUx+Uxxx=0
I just don't know what the physical meaning of these transformation is...
Sometimes the times scale is magnified, what does it mean? does it mean the solitary wave have to be observed in a fast motion or what?
So many doubts.
I am wondering if someone can write a full paragraph explaining the meanings of individual transformation and the form of KdV arrived by that transformation.
Please give me some clues...