In recent years, due to the wide applications of nonlinear partial differential equations (PDEs) in nonlinear science, looking for exact or approximate solutions of the nonlinear PDEs plays an important and significant role for both mathematicians and physicists. These solutions may be well described in the study of the dynamics of those nonlinear phenomena such as nonlinear wave in hydrodynamics, atmosphere, plasma physics, solid state physics, optical fibers, and so forth, and thus they may give more insight into the physical aspects of the problems.

The aim of this special issue is to address the latest developments in searching for the exact and approximate solutions of nonlinear PDEs. The journal will accept high-quality articles containing original research results and survey papers of exceptional merit.

We are interested in articles that describe original research work and reflect the recent theoretical advances and new results. Each powerful method proposed recently to search for the solutions of nonlinear PDEs is welcome. Potential topics include, but are not limited to:

• Exact or approximate solutions for the continuous, discrete, fractional, stochastic, and perturbed nonlinear PDEs
• Lie group theory: Symmetries and conservation laws, Hirota’s bilinear method, mapping deformation method, and many other function expansion methods
• Variational iteration method, homotopy perturbation method, homotopy analysis method, multiple-scale method, and so forth

All accepted papers for this special issue will be published in the journal of Abstract and Applied Analysis, which is indexed by SCI.

Before submission authors should carefully read over the journal’s Authors 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/exap/ according to the following timetable: