Evolutionary Hirota Type (2+1)-Dimensional Equations: Lax Pairs, Recursion Operators and Bi-Hamiltonian Structures


Sheftel M. B. , YAZICI D.

SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS, cilt.14, 2018 (SCI İndekslerine Giren Dergi) identifier identifier

  • Cilt numarası: 14
  • Basım Tarihi: 2018
  • Doi Numarası: 10.3842/sigma.2018.017
  • Dergi Adı: SYMMETRY INTEGRABILITY AND GEOMETRY-METHODS AND APPLICATIONS

Özet

We show that evolutionary Hirota type Euler Lagrange equations in (2 + 1) dimensions have a symplectic Monge Ampere form. We consider integrable equations of this type in the sense that they admit infinitely many hydrodynamic reductions and determine Lax pairs for them. For two seven-parameter families of integrable equations converted to two-component form we have constructed Lagrangians, recursion operators and bi-Hamiltonian representations. We have also presented a six-parameter family of tri-Hamiltonian systems.