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physics.plasm-ph2024
Nonlinear Cnoidal Waves and Formation of Patterns and Coherent Structures in Intense Charged Particle Beams
Stephan I. Tzenov, Anton A. Volodin
The longitudinal dynamics of an intense high energy beam moving in a resonator cavity has been studied in some detail. Through the method of separation of variables and its obvious…
physics.acc-ph2024
The Method of Formal Series: Applications to Nonlinear Beam Dynamics and Invariants of Motion
Stephan I. Tzenov
A novel technique to determine invariant curves in nonlinear beam dynamics based on the method of formal series has been developed. It is first shown how the solution of the Hamilt…