Thank you, Ian Clark, for the solution!
I use J602. 
I had in mind varying the phase keeping the wave length constant, like this.

   animate=: 3 : 0
   for_i. i.10 do.
     'dot; pensize 4' plot 32+64|wave 64 29 32, _0.5*_1^i%32
     pause 0.1
   end.
   )
   animate ''


It works in the beginning but not for big values of the index i. The'32+64|' is 
in order to keep the wave inside the fixed coordinate system.

- Bo


>________________________________
> Fra: Ian Clark <earthspo...@gmail.com>
>Til: Programming forum <programming@jsoftware.com> 
>Sendt: 9:46 søndag den 22. januar 2012
>Emne: Re: [Jprogramming] waves
> 
>Right... I should have said I was using J602 jwd, where plot updates
>the existing window.
>
>On Sun, Jan 22, 2012 at 6:05 AM, Linda Alvord <lindaalv...@verizon.net> wrote:
>> Using Chrome and Windows I get all of the images separately.
>>
>> -----Original Message-----
>> From: programming-boun...@jsoftware.com
>> [mailto:programming-boun...@jsoftware.com] On Behalf Of Ian Clark
>> Sent: Saturday, January 21, 2012 4:21 PM
>> To: Programming forum
>> Subject: Re: [Jprogramming] waves
>>
>>> Do anyone know how to animate this such that the waves are rolling?
>>
>> Not with the parameters you've chosen.
>>
>> But if it's just animation you want, this works for me (on the mac):
>>
>> animate=: 3 : 0
>> for_i. >:i.40 do.
>>  'dot; pensize 4' plot wave 65 29, i, _0.5
>>  pause 0.2
>> end.
>> )
>>
>> pause=: 3 : 0
>>        NB. pause for y seconds
>> if. y-: 0 do. return. end.
>> t1=. (|y) + t=. 6!:1''
>> while. t<t1 do. t=. 6!:1'' end.
>> i.0 0
>> )
>>
>> animate''
>>
>> Needs some tuning, though. (Plus specifying a vertical range.)
>>
>>
>> On Sat, Jan 21, 2012 at 10:51 AM, Bo Jacoby <bojac...@yahoo.dk> wrote:
>>> Hello J-ers.
>>> Consider this
>>>    wave=: 3 : 0
>>>    ('N';'D';'L';'S')=.y
>>>    A=.,(i.N)j./-i.D
>>>    k=.(0j_2p1%L)&*
>>>    c=.S&*&^&+
>>>    (+ c&.k)A
>>>    )
>>>
>>>    'dot; pensize 4' plot wave 65 29 32 _0.5
>>>
>>> Maximize the plot window to get the proportions right.
>>> This shows the power of J, arrays, and the complex number exponential
>> function.
>>> Do anyone know how to animate this such that the waves are rolling?
>>>
>>> -Bo
>>> ----------------------------------------------------------------------
>>> For information about J forums see http://www.jsoftware.com/forums.htm
>> ----------------------------------------------------------------------
>> For information about J forums see http://www.jsoftware.com/forums.htm
>>
>> ----------------------------------------------------------------------
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>
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