Abstract and Applied Analysis

Integrable Couplings: Generation, Hamiltonian Structures, Conservation Laws, and Applications


Publishing date
21 Nov 2014
Status
Published
Submission deadline
04 Jul 2014

1College of Information Science and Engineering, Shandong University of Science and Technology, Shangong, China

2Department of Mathematics and Statistics, College of Arts and Sciences, University of South Florida, Tampa, FL, USA

3College of Science, University of Mining and Technology, Beijing, China


Integrable Couplings: Generation, Hamiltonian Structures, Conservation Laws, and Applications

Description

Integrable couplings are coupled systems for the integrable equations, which the given integrable equations as subsystems of coupled systems are contained. The research on integrable couplings has significant theoretical meaning and application value and attracts more and more attention in the mathematics and physics in the last decades. The method and topics on integrable systems and their couplings systems include Hamiltonian structures, conservation laws, exact solution, Darboux transformation, nonlinearization, and so on.

The special issue examines such topics as recent research advances based on the above method and new advance on integrable couplings as well as its application. We invite investigators to contribute original research articles as well as review articles that will stimulate to interpret and understand the generation, properties, and application of the integrable couplings as well as the related problems.

We are particularly interested in articles describing the nonlinear phenomenon with the integrable equations and their couplings systems, such as model of meteorology, water wave model, biology model, finance model, and so on. Potential topics include, but are not limited to:

  • Lie algebra and superalgebras and their prolongation
  • New generation of continue and discrete integrable couplings
  • Hamiltonian structures and conservation laws for integrable systems
  • Solution for integrable systems
  • Application in fluid mechanics, biology, and finance engineering

Before submission authors should carefully read over the journal’s Author Guidelines, which are located at http://www.hindawi.com/journals/aaa/guidelines/. Prospective authors should submit an electronic copy of their complete manuscript through the journal Manuscript Tracking System at http://mts.hindawi.com/submit/journals/aaa/hami/ according to the following timetable:


Articles

  • Special Issue
  • - Volume 2014
  • - Article ID 356350
  • - Editorial

Integrable Couplings: Generation, Hamiltonian Structures, Conservation Laws, and Applications

Huanhe Dong | Wen-Xiu Ma | ... | Tingting Chen
  • Special Issue
  • - Volume 2014
  • - Article ID 407468
  • - Research Article

Analysis of the Properties of Adjoint Equations and Accuracy Verification of Adjoint Model Based on FVM

Yaodeng Chen | Ruizhi Zhang | ... | Changna Lu
  • Special Issue
  • - Volume 2014
  • - Article ID 235159
  • - Research Article

Conservation Laws and Self-Consistent Sources for an Integrable Lattice Hierarchy Associated with a Three-by-Three Discrete Matrix Spectral Problem

Yu-Qing Li | Bao-Shu Yin
  • Special Issue
  • - Volume 2014
  • - Article ID 175841
  • - Research Article

Benjamin-Ono-Burgers-MKdV Equation for Algebraic Rossby Solitary Waves in Stratified Fluids and Conservation Laws

Hongwei Yang | Shanshan Jin | Baoshu Yin
  • Special Issue
  • - Volume 2014
  • - Article ID 592782
  • - Research Article

Gaussian Fibonacci Circulant Type Matrices

Zhaolin Jiang | Hongxia Xin | Fuliang Lu
  • Special Issue
  • - Volume 2014
  • - Article ID 214709
  • - Research Article

Super-Hamiltonian Structures and Conservation Laws of a New Six-Component Super-Ablowitz-Kaup-Newell-Segur Hierarchy

Fucai You | Jiao Zhang | Yan Zhao
  • Special Issue
  • - Volume 2014
  • - Article ID 643652
  • - Research Article

Dissipative Nonlinear Schrödinger Equation for Envelope Solitary Rossby Waves with Dissipation Effect in Stratified Fluids and Its Solution

Yunlong Shi | Baoshu Yin | ... | Zhenhua Xu
  • Special Issue
  • - Volume 2014
  • - Article ID 932672
  • - Research Article

A Few Integrable Couplings of Some Integrable Systems and ()-Dimensional Integrable Hierarchies

Binlu Feng | Yufeng Zhang | Huanhe Dong
  • Special Issue
  • - Volume 2014
  • - Article ID 840405
  • - Research Article

Invariant Solutions and Conservation Laws of the (2 + 1)-Dimensional Boussinesq Equation

Wenjuan Rui | Peiyi Zhao | Yufeng Zhang
  • Special Issue
  • - Volume 2014
  • - Article ID 678725
  • - Research Article

Nonlinear Integrable Couplings of Levi Hierarchy and WKI Hierarchy

Zhengduo Shan | Hongwei Yang | Baoshu Yin
Abstract and Applied Analysis
 Journal metrics
Acceptance rate13%
Submission to final decision47 days
Acceptance to publication84 days
CiteScore0.580
Impact Factor-
 Submit