Manuscript Topics

In the field of mathematical physics, soliton systems have long captivated researchers, revealing anintricate interplay between algebraic structures, geometric properties, and topological characteristics. This special issue, titled "Emerging Trends in Algebra, Geometry, and Topology of Soliton Systems," aims to explore the forefront of developments in these intertwined domains. Solitons, which are localized wave phenomena that maintain their shape and energy while propagating, provide a fertile ground for investigating deep connections between algebraic methods, geometric insights, and topological considerations.

The contributions within this issue will explore emerging advancements, shedding light on how algebra, geometry, and topology collectively contribute to the evolving landscape of soliton research. Submissions on original research and review articles from diverse areas are welcomed. Topics of this special issue include (but are not limited to):

• Hamiltonian Systems
• Applications of Lie Groups to Nonlinear Differential Equations
• Lie Algebraic Methods and Integrability
• Riemann-Hilbert Problems
• Inverse Scattering Method
• Symmetry and Conservation Laws
• Soliton and Nonlinear Wave Solutions
• Topological or Knot Solitons
• Special Polynomials and Solitons

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