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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
>