Canonical structure of evolution equations with non-linear dispersive terms

Pramana

J Shamanna¹  B Talukdar1¹  S Ghosh¹ 

[1] Department of Physics, Visva-Bharati University, Santiniketan 731 235, India$$

关键词: Evolution equations;    non-linear dispersive terms;    Lagrangian systems;    Hamiltonian structure.;   

DOI  :  

学科分类：物理（综合）

来源: Indian Academy of Sciences

【 摘 要 】

The inverse problem of the variational calculus for evolution equations characterized by non-linear dispersive terms is analysed with a view to clarify why such a system does not follow from Lagrangians. Conditions are derived under which one could construct similar equations which admit a Lagrangian representation. It is shown that the system of equations thus obtained can be Hamiltonized by making use of the Dirac’s theory of constraints. The specific results presented refer to the third- and fifth-order equations of the so-called distinguished subclass.

【 授权许可】

Unknown