Advanced Search
Article Contents
Article Contents

Even solutions of the Toda system with prescribed asymptotic behavior

Abstract Related Papers Cited by
  • Every solution of the Toda system, describing the behavior of a finite number of mass points on the line, each one interacting with its neighbors, is asymptotically linear at infinity. We show the existence and uniqueness of even solution with suitable prescribed asymptotic behavior, by analyzing a system of algebraic equations derived from the relation between the slopes and the intercepts of the asymptotic lines.
    Mathematics Subject Classification: Primary: 34B30, 34E99, 35J60.


    \begin{equation} \\ \end{equation}
  • [1]

    M. Del Pino, M. Kowalczyk, F. Pacard and J. Wei, Multiple-end solutions to the Allen-Cahn equation in $R^2$, J. Funct. Anal., 258 (2010), 458-503.doi: 10.1016/j.jfa.2009.04.020.


    M. Del Pino, M. Kowalczyk, F. Pacard and J. Wei, The Toda system and multiple-end solutions of autonomous planar elliptic problems, Adv. Math., 224 (2010), 1462-1516. arXiv:0710.0640.doi: 10.1016/j.aim.2010.01.003.


    M. Del Pino, M. Kowalczyk and J. Wei, The Toda system and clustering interfaces in the Allen-Cahn equation, Arch. Ration. Mech. Anal., 190 (2008), 141-187.doi: 10.1007/s00205-008-0143-3.


    B. Kostant, The solution to a generalized Toda lattice and representation theory, Adv. Math., 34 (1979), 195-338.doi: 10.1016/0001-8708(79)90057-4.


    J. Moser, Finitely many mass points on the line under the influence of an exponential potential-an integrable system, in "Dynamical Systems, Theory and Applications," Lecture Notes in Phys., Vol. 38, Springer, (1975), 467-497.doi: 10.1007/3-540-07171-7_12.

  • 加载中

Article Metrics

HTML views() PDF downloads(49) Cited by(0)

Access History

Other Articles By Authors



    DownLoad:  Full-Size Img  PowerPoint