Power solution expansions of the analogue tothe first Painleve equation

Details Power solution expansions of the analogue tothe first Painleve equation Power solution expansions of the analogue tothe first Painleve equation

2005-11-03

arxiv.org/abs/nlin/0511008v1

Nonlinear Sciences

Exactly Solvable and Integrable Systems

27 pages, 3 figures

Scientific paper

The fourth-order analog to the first Painlev\'{e} equation is studied. All power expansions for solutions of this equation near points $z=0$ and $z=\infty$ are found. The exponential additions to the expansion of solution near $z=\infty$ are computed. The obtained results confirm the hypothesis that the fourth-order analog of the first Painlev\'{e} equation determines new transcendental functions. By means of the methods of power geometry the basis of the plane lattice is also calculated.

Affiliated with

Also associated with

No associations

Rating

Power solution expansions of the analogue tothe first Painleve equation does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Power solution expansions of the analogue tothe first Painleve equation, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Power solution expansions of the analogue tothe first Painleve equation will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-483155