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
edited yesterday
dmtri
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asked yesterday
Tommy Nguyen
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add a comment |
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
edited yesterday
dmtri
1,2181520
asked yesterday
Tommy Nguyen
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.
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
edited yesterday
dmtri
1,2181520
asked yesterday
Tommy Nguyen
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.
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
edited yesterday
dmtri
1,2181520
asked yesterday
Tommy Nguyen
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.
edited yesterday
dmtri
1,2181520
asked yesterday
Tommy Nguyen
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.
edited yesterday
dmtri
1,2181520
edited yesterday
dmtri
1,2181520
edited yesterday
dmtri
1,2181520
1,2181520
asked yesterday
Tommy Nguyen
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.
asked yesterday
Tommy Nguyen
93
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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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