Super Jaulent-Miodek hierarchy and its super Hamiltonian structure, conservation laws and its self-consistent sources

نویسندگان

  • Hui WANG
  • Tiecheng XIA
چکیده

Abstract A super Jaulent-Miodek hierarchy and its super Hamiltonian structures are constructed by means of a kind of Lie super algebras and super trace identity. Moreover, the self-consistent sources of the super Jaulent-Miodek hierarchy is presented based on the theory of self-consistent sources. Furthermore, the infinite conservation laws of the super Jaulent-Miodek hierarchy are also obtained. It is worth noting that as even variables are boson variables, odd variables are fermi variables in the spectral problem, the commutator is different from the ordinary one.

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

منابع مشابه

Self-Consistent Sources and Conservation Laws for a Super Broer-Kaup-Kupershmidt Equation Hierarchy

Soliton theory has achieved great success during the last decades; it is being applied to mathematics, physics, biology, astrophysics, and other potential fields [1–12]. The diversity and complexity of soliton theory enable investigators to do research from different views, such as Hamiltonian structure, self-consistent sources, conservation laws, and various solutions of soliton equations. In ...

متن کامل

Self-Consistent Sources and Conservation Laws for Super Tu Equation Hierarchy

Based upon the basis of Lie super algebra B(0,1), the super Tu equation hierarchy with self-consistent sources was presented. Furthermore, the infinite conservation laws of above hierarchy were given.

متن کامل

The separability and dynamical r-matrix for the constrained flows of Jaulent-Miodek hierarchy

We show here the separability of Hamilton-Jacobi equation for a hierarchy of integrable Hamiltonian systems obtained from the constrained flows of the Jaulent-Miodek hierarchy. The classical Poisson structure for these Hamiltonian systems is constructed. The associated r-matrices depend not only on the spectral parameters, but also on the dynamical variables and, for consistency, have to obey t...

متن کامل

Explicit solutions , conservation laws of the extended (2+1)-dimensional Jaulent-Miodek equation

By applying the direct symmetry method, the symmetry reductions and some new group invariant solutions were obtained, We have derived some exact solutions by using the relationship between the new solutions and the old ones, which include Weierstrass periodic solutions, elliptic periodic solutions, triangular function solutions and so on. Also, in order to reflect the characteristics and proper...

متن کامل

Bi-Hamiltonian Structure of Super KP Hierarchy

We obtain the bi-Hamiltonian structure of the super KP hierarchy based on the even super KP operator Λ = θ + ∑∞ i=−2 Uiθ , as a supersymmetric extension of the ordinary KP bi-Hamiltonian structure. It is expected to give rise to a universal super W -algebra incorporating all known extended superconformal WN algebras by reduction. We also construct the super BKP hierarchy by imposing a set of an...

متن کامل

ذخیره در منابع من


  با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید

برای دانلود متن کامل این مقاله و بیش از 32 میلیون مقاله دیگر ابتدا ثبت نام کنید

ثبت نام

اگر عضو سایت هستید لطفا وارد حساب کاربری خود شوید

عنوان ژورنال:

دوره   شماره 

صفحات  -

تاریخ انتشار 2014