Manuscript Topics

Integrable systems in higher dimensions remain at the forefront of research in nonlinear science, offering rich mathematical structures and profound connections to physics, geometry, and applied sciences. This special issue invites contributions that explore recent advances in higher dimensions, especially (2+1)- and (3+1)-dimensional integrable systems, with a focus on algebraic, geometric, and analytical aspects, as well as practical applications across mathematics, physics, and engineering.

This special issue aims to bridge theory and application, bringing together advances that highlight the continued impact of higher-dimensional integrable systems on mathematics and the applied sciences

Scope and Topics
We welcome original research articles, comprehensive reviews, and short communications.
Topics of interest include, but are not limited to:
• Derivation and analysis of novel higher-dimensional integrable equations
• Soliton solutions, rogue waves, and breathers in higher dimensions
• Painlevé analysis, Hirota bilinear forms, and related integrability tests
• Algebraic and geometric structures underlying integrable systems
• Computational approaches and simulations of higher-dimensional soliton dynamics
• Applications in fluid dynamics, optical systems, plasma physics, and related fields

Types of Submissions Accepted
• Original Research Articles presenting new theoretical or computational results
• Review Articles providing a comprehensive overview of current progress and challenges
• Short Communications highlighting recent developments or preliminary findings of significant interest

Instructions for authors
https://www.aimspress.com/math/news/solo-detail/instructionsforauthors
Please submit your manuscript to online submission system
https://aimspress.jams.pub/