On a Generalized Fifth-Order Integrable Evolution Equation and its Hierarchy
Exactly Solvable and Integrable Systems
2015-06-26 v1
Abstract
A general form of the fifth-order nonlinear evolution equation is considered. Helmholtz solution of the inverse variational problem is used to derive conditions under which this equation admits an analytic representation. A Lennard type recursion operator is then employed to construct a hierarchy of Lagrangian equations. It is explicitly demonstrated that the constructed system of equations has a Lax representation and two compatible Hamiltonian structures. The homogeneous balance method is used to derive analytic soliton solutions of the third- and fifth-order equations.
Cite
@article{arxiv.nlin/0603038,
title = {On a Generalized Fifth-Order Integrable Evolution Equation and its Hierarchy},
author = {Amitava Choudhuri and B. Talukdar and S. B. Datta},
journal= {arXiv preprint arXiv:nlin/0603038},
year = {2015}
}
Comments
16 pages, 1 figure