3 papers
math-ph2026
Integrability of Hamiltonian systems on COLCS Manifold
Antonio J. Pan-Collantes, Xuefeng Zhao
We develop an integrability framework for Hamiltonian dynamics on \emph{con-locally conformal symplectic} (COLCS) manifolds, odd-dimensional quadruples where $dΩ=θ\wedg…
math.CA2026
From curvature to Kovacic: a geometric approach to integrability of scalar ODEs
A. J. Pan-Collantes, J. A. Ãlvarez-GarcÃa
We study first-order ordinary differential equations such that the intrinsic Gauss curvature of the associated surface depends only on the independent variable: $\mathcal{K}(x,u)=Î…
math.AP2025
A -structure-based approach to traveling wave solutions of the gKdV equation
Antonio J. Pan-Collantes
A novel geometric method is applied to the problem of describing traveling wave solutions of the generalized Korteweg--de Vries (gKdV) equation in the form $$ u_t + u_{xxx} + a(u)u…