Title
Two (2+1)-dimensional expanding dynamical systems associated to the mKP hierarchy
Abstract
An isospectral problem with a parameter ¿ is presented, for which a modified KdV (mKdV) hierarchy is easily derived from the Tu scheme. Then two different expanding integrable models are obtained, respectively. The main purpose for this focuses on deriving a (2+1)-dimensional mKdV hierarchy (called the mKP hierarchy) and the corresponding different (2+1)-dimensional expanding models (including the linear and nonlinear), whose Hamiltonian structures are obtained by employing an identity developed by us in the paper. As the reduced consequences, the linear and nonlinear (2+1)-dimensional expanding models of the mKP equation are generated.
Year
DOI
Venue
2015
10.1016/j.amc.2015.06.112
Applied Mathematics and Computation
Keywords
Field
DocType
mKP hierarchy,TAH scheme,(2+1)-dimensional hierarchy
Integrable system,Nonlinear system,Hamiltonian (quantum mechanics),Mathematical analysis,Isospectral,Dynamical systems theory,Hierarchy,Korteweg–de Vries equation,Mathematics,One-dimensional space
Journal
Volume
Issue
ISSN
268
C
0096-3003
Citations 
PageRank 
References 
0
0.34
2
Authors
2
Name
Order
Citations
PageRank
Yufeng Zhang100.34
Lixin Wu29435.60