Abstract
In this paper we consider that the momentum of a free particle motion with high-level speed presenting nonlinear effects may be expanded by using Laurent series and then obtain the complete expression of nonlinear and unsteady momentum. These nonlinear and unsteady phenomena of high-level speed may further expand to the theory of kinematics and it may be determined by Fredholm's integral equation of the first kind. In addition, according to the nonlinear and unsteady momentum obtained the relations of the nonlinear mechanics equations, work and energy, mass and energy may be derived. Finally, this paper also calculates those experimental results which done in particle physics for mu-mesons u± and fast neutrons n, these results are in agreement with data perfectly.
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Communicated by He Fu-bao
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Wen-xiong, Y. Generalized theory of nonlinear and unsteady mechanics and applications to particle physics. Appl Math Mech 16, 27–35 (1995). https://doi.org/10.1007/BF02453772
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DOI: https://doi.org/10.1007/BF02453772