Services & Resources / Wolfram Forums / MathGroup Archive
-----

MathGroup Archive 2007

[Date Index] [Thread Index] [Author Index]

Search the Archive

Re: using Dsolve for equation: y'' + |y|^2y=ay

  • To: mathgroup at smc.vnet.net
  • Subject: [mg84413] Re: using Dsolve for equation: y'' + |y|^2y=ay
  • From: Jens-Peer Kuska <kuska at informatik.uni-leipzig.de>
  • Date: Fri, 21 Dec 2007 20:43:57 -0500 (EST)
  • References: <fkeo6j$2il$1@smc.vnet.net>

Hi,

can you explain the difference between y[x]^3 and Abs[y[x]]^2*y[x]
for real functions ? If you don't find a difference try
DSolve[y''[x] + y[x]^3 - a y[x] == 0, y[x], x]
and get a solution with JacobiSN[]
But it may depend on a if the function is real

Regards
   Jens

kem wrote:
> Hi,
> 
> Is it possible to use DSolve to solve the equation:  y'' + |y|^2
> y=ay    ?
> 
> DSolve[y''[x] + Abs[y[x]]^2 y[x] - a y[x] == 0, y[x], x]
> 
> gives some strange solution with symbols like K$1764^2
> 
> thanks
> 


  • Prev by Date: Re: using Dsolve for equation: y'' + |y|^2y=ay
  • Next by Date: Re: using Dsolve for equation: y'' + |y|^2y=ay
  • Previous by thread: using Dsolve for equation: y'' + |y|^2y=ay
  • Next by thread: Integral form, possable to add "assumptions parameter?