Browsing by Subject "Lax pairs"

Now showing items 1-2 of 2

    • Article  

      Equivalence transformations in the study of integrability 

      Vaneeva, Olena O.; O Popovych, R.; Sophocleous, Christodoulos (2014)
      We discuss how point transformations can be used for the study of integrability, in particular, for deriving classes of integrable variable-coefficient differential equations. The procedure of finding the equivalence ...
    • Article  

      Generalized Lotka - Volterra systems connected with simple Lie algebras 

      Charalambides, Stelios A.; Damianou, Pantelis A.; Evripidou, Charalambos A. (2015)
      We devise a new method for producing Hamiltonian systems by constructing the corresponding Lax pairs. This is achieved by considering a larger subset of the positive roots than the simple roots of the root system of a ...