Advances in Integrable Systems: Theory, Methods and Applications

Dear Colleagues,

We are pleased to invite you to contribute to a Topic on "Advances in Integrable Systems: Theory, Methods and Applications". Integrable systems have been an important research topic in mathematics and physics, whose theory, methods, and applications are now extensively studied in various scientific fields, such as theoretical physics, thermodynamics, plasma physics, statistic physics, life sciences, engineering theory, and so on. This Topic aims to highlight recent advancements in these areas and their applications by showcasing the interdisciplinary nature of research on integrable systems. This Topic will include, but is not limited to, the following fields:

• Inverse scattering transformations;
• The Dbar method and its various applications;
• Hamiltonian structures and their resulting theories and applications;
• Some computational approaches and theories on fractals, solitons, and chaos;
• Darboux transformations and Backlund transformations;
• Lie group analysis and applications;
• Riemann–Hilbert problems and complex theory;
• Stability and asymptotics of nonlinear PDEs;
• Solutions for algebraic and geometry;
• Lie algebra and its applications in differential equations.

We invite researchers to submit original research papers, comprehensive review papers, and insightful perspectives that contribute to the advances in integrable systems. The objective of this Topic is to provide a platform for researchers to disseminate their findings, engage in discussions about contemporary challenges, and explore new avenues in the study of dynamic systems and their applications.

Dr. Yufeng Zhang
Prof. Dr. Dengshan Wang
Topic Editors