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Study of Integrability and Exact Solutions for Nonlinear Evolution Equations

Call for Papers

Many problems in nonlinear science associated with mechanical, structural, aeronautical, ocean, electrical, and control systems can be summarized as solving nonlinear evolution equations which arise from important models with mathematical and physical significances. Investigating integrability and finding exact solutions to the discrete and continuous evolution equations have extensive applications in many scientific fields such as hydrodynamics, condensed matter physics, solid-state physics, nonlinear optics, neurodynamics, crystal dislocation, model of meteorology, water wave model of oceanography, and fibre-optic communication. The research methods for solving nonlinear evolution equations deal with inverse scattering transformation, Darboux transformation, bilinear method and multilinear method, classical and nonclassical Lie group approaches, Clarkson-Kruskal’s direct method, deformation mapping method, truncated Painlevé expansion, mixing exponential method, function expansion method, geometrical method, dressing method, bifurcation theory of planar dynamical system, auxiliary equation method, integral bifurcation method, and so forth. The special issue examines such topics as recent research advances based on the above methods and new investigation results on solving exact solutions. Knowledge and understanding of the integrability of system and dynamical behaviors (properties) of solutions for nonlinear evolutions have led to the development of nonlinear science and successfully explained all kinds of nonlinear dynamic phenomena appeared in many scientific fields.

We invite investigators (authors) to contribute original research articles as well as review articles that seek to improve the existing research method and new exact solutions of nonlinear evolution equations. We are particularly interested in articles describing the nonlinear dynamic phenomena on some new mathematical and physical models. Potential topics include, but are not limited to:

  • New results of nonlinear evolution equations based on analytical, computational, and experimental methods
  • New nonlinear models associated with mechanical, structural, aeronautical, ocean, electrical, and control systems
  • Investigation of integrability for nonlinear evolution equations
  • Investigation of new exact solutions of nonlinear evolution equations and their dynamical behaviors

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/inex/ according to the following timetable:

Manuscript DueFriday, 10 January 2014
First Round of ReviewsFriday, 4 April 2014
Publication DateFriday, 30 May 2014

Lead Guest Editor

  • Weiguo Rui, Chongqing Normal University, Chongqing 401331, China

Guest Editors

  • Wen-Xiu Ma, Department of Mathematics and Statistics, University of South Florida, Tampa, FL 33620-5700, USA
  • Chaudry Masood Khalique, International Institute for Symmetry Analysis and Mathematical Modelling, Department of Mathematical Sciences, North-West University, Mafikeng Campus, Private Bag X 2046, Mmabatho 2735, South Africa
  • Zuo-nong Zhu, Department of Mathematics, Shanghai Jiao Tong University, 800 Dongchuan Road, Shanghai 200240, China