User nixon - MathOverflow most recent 30 from http://mathoverflow.net 2013-05-25T04:43:58Z http://mathoverflow.net/feeds/user/23327 http://www.creativecommons.org/licenses/by-nc/2.5/rdf http://mathoverflow.net/questions/96651/the-approximation-to-perturbed-kdv-equation/101617#101617 Answer by Nixon for The approximation to perturbed KdV Equation Nixon 2012-07-08T02:12:37Z 2012-07-08T02:12:37Z <p>This is covered in Ablowitz and Segur (<a href="http://www.amazon.com/Solitons-Inverse-Scattering-Transform-Mathematics/dp/089871477X/ref=sr_1_sc_1?ie=UTF8&amp;qid=1341712856&amp;sr=8-1-spell&amp;keywords=Ablowitz+Seguer" rel="nofollow">Book</a>) for soliton initial conditions. An alternative method is given in a paper by Allen Newel. Neither of which use inverse scattering. Here multiples scales is used and much of the interest was on tails which would trail behind the soliton. Although, this doesn't exactly answer your question, since these methods are not concerned with convergence as much as accurate approximations. </p> http://mathoverflow.net/questions/89346/game-theory-is-there-a-mixed-strategy-nash-equilibrium/95548#95548 Answer by Nixon for Game Theory: Is there a Mixed Strategy Nash Equilibrium? Nixon 2012-04-30T04:27:55Z 2012-04-30T04:27:55Z <p>In the mixed strategy Nash equilibrium the column players will choose b with probability 1, thus there is never a mix that includes (15,1). However, the row player can mix with their weakly dominated strategy A. (probability A = 2/9, B = 7/9)</p>