Nonlinear Partial Differential Equation (NPDE) including integrable, near-integrable, and non-integrable systems arise from a number of physical, chemical, biological, and life sciences. The complexity analysis of solutions for NPDE is a very important subject in nonlinear science all the time. In recent years, this research field has taken many new advances. This special issue offers a fast publication for advances in nonlinear complexity analysis for partial differential equations. It encourages the submission of new research on the following issues. Potential topics include, but are not limited to:

• Asymptotical behavior analysis of solution with initial boundary value problem
• Spatiotemporal feature analysis (theory, method, and application)
• Variety analysis of dynamics (numerical or explicit solution)
• Stochastic complexity analysis of solutions for stochastic infinite-dimensional system
• Numerical simulation and analysis of solutions for integrable, near-integrable, and nonintegrable systems

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/ancap/ according to the following timetable: