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    • Variable-coefficient nonisospectral Toda lattice hierarchy and its exact solutions

      Sheng Zhang Di Wang

      Volume 85 Issue 6 December 2015 pp 1143-1156

    • Fulltext

       

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      Permanent link:
      https://www.ias.ac.in/article/fulltext/pram/085/06/1143-1156

    • Keywords

       

      Variable-coefficient nonisospectral Toda lattice hierarchy; exact solution; compatibility condition; inverse scattering transformation.

    • Abstract

       

      In this paper, a hierarchy of nonisospectral equations with variable coefficients is derived from the compatibility condition of Toda spectral problem and its time evolution. In order to solve the derived Toda lattice hierarchy, the inverse scattering transformation is utilized. As a result, new and more general exact solutions are obtained. It is shown that the inverse scattering transformation can be generalized to solve some other nonisospectral lattice hierarchies with variable coefficients.

    • Author Affiliations

       

      Sheng Zhang1 Di Wang1

      1. School of Mathematics and Physics, Bohai University, Jinzhou 121013, People's Republic of China

    • Dates

       
      Published
      December 2015
      Manuscript received
      14 May 2014
      Manuscript revised
      6 August 2014
      Accepted
      21 August 2014
      Early published
      3 May 2015

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