Show that the integral $int(xu - 3tu^2) dx$ is invariant for the $KdV$ equation.
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I have a problem solving the problem about showing the integral is invariant for the KdV equation.
The problem is as following:
Show that integral of $int(xu - 3tu^2) dx$ is invariant for the $KdV$ equation.
Can anyone help? I'm kind of stuck here...
pde
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up vote
1
down vote
favorite
I have a problem solving the problem about showing the integral is invariant for the KdV equation.
The problem is as following:
Show that integral of $int(xu - 3tu^2) dx$ is invariant for the $KdV$ equation.
Can anyone help? I'm kind of stuck here...
pde
New contributor
Tommy Nguyen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1
Welcome to MSE. Please read this text about how to ask a good question.
– José Carlos Santos
yesterday
1
Try defining $F(t)=int(xu - 3tu^2) dx$ and try to show that $F'(t)=0$. (You will need to insert the KdV and do some integration by parts.)
– maxmilgram
yesterday
add a comment |
up vote
1
down vote
favorite
up vote
1
down vote
favorite
I have a problem solving the problem about showing the integral is invariant for the KdV equation.
The problem is as following:
Show that integral of $int(xu - 3tu^2) dx$ is invariant for the $KdV$ equation.
Can anyone help? I'm kind of stuck here...
pde
New contributor
Tommy Nguyen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
I have a problem solving the problem about showing the integral is invariant for the KdV equation.
The problem is as following:
Show that integral of $int(xu - 3tu^2) dx$ is invariant for the $KdV$ equation.
Can anyone help? I'm kind of stuck here...
pde
pde
New contributor
Tommy Nguyen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Tommy Nguyen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
edited yesterday
dmtri
1,2181520
1,2181520
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Tommy Nguyen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
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asked yesterday


Tommy Nguyen
93
93
New contributor
Tommy Nguyen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
New contributor
Tommy Nguyen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
Tommy Nguyen is a new contributor to this site. Take care in asking for clarification, commenting, and answering.
Check out our Code of Conduct.
1
Welcome to MSE. Please read this text about how to ask a good question.
– José Carlos Santos
yesterday
1
Try defining $F(t)=int(xu - 3tu^2) dx$ and try to show that $F'(t)=0$. (You will need to insert the KdV and do some integration by parts.)
– maxmilgram
yesterday
add a comment |
1
Welcome to MSE. Please read this text about how to ask a good question.
– José Carlos Santos
yesterday
1
Try defining $F(t)=int(xu - 3tu^2) dx$ and try to show that $F'(t)=0$. (You will need to insert the KdV and do some integration by parts.)
– maxmilgram
yesterday
1
1
Welcome to MSE. Please read this text about how to ask a good question.
– José Carlos Santos
yesterday
Welcome to MSE. Please read this text about how to ask a good question.
– José Carlos Santos
yesterday
1
1
Try defining $F(t)=int(xu - 3tu^2) dx$ and try to show that $F'(t)=0$. (You will need to insert the KdV and do some integration by parts.)
– maxmilgram
yesterday
Try defining $F(t)=int(xu - 3tu^2) dx$ and try to show that $F'(t)=0$. (You will need to insert the KdV and do some integration by parts.)
– maxmilgram
yesterday
add a comment |
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Tommy Nguyen is a new contributor. Be nice, and check out our Code of Conduct.
Tommy Nguyen is a new contributor. Be nice, and check out our Code of Conduct.
Tommy Nguyen is a new contributor. Be nice, and check out our Code of Conduct.
Tommy Nguyen is a new contributor. Be nice, and check out our Code of Conduct.
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Welcome to MSE. Please read this text about how to ask a good question.
– José Carlos Santos
yesterday
1
Try defining $F(t)=int(xu - 3tu^2) dx$ and try to show that $F'(t)=0$. (You will need to insert the KdV and do some integration by parts.)
– maxmilgram
yesterday