A Solvable N-body Problem of Goldfish Type Featuring N2 Arbitrary Coupling Constants
نویسندگان
چکیده
منابع مشابه
Three New Classes of Solvable N-Body Problems of Goldfish Type with Many Arbitrary Coupling Constants
Abstract: Three new classes of N-body problems of goldfish type are identified, with N an arbitrary positive integer (N ě 2). These models are characterized by nonlinear Newtonian (“accelerations equal forces”) equations of motion describing N equal point-particles moving in the complex z-plane. These highly nonlinear equations feature many arbitrary coupling constants, yet they can be solved b...
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A new solvable many-body problem is identified. It is characterized by nonlinear Newtonian equations of motion (“acceleration equal force”) featuring one-body and twobody velocity-dependent forces “of goldfish type” which determine the motion of an arbitrary number N of unit-mass point-particles in a plane. The N (generally complex ) values zn(t) at time t of the N coordinates of these moving p...
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A new class of solvable N -body problems is identified. They describe N unitmass point particles whose time-evolution, generally taking place in the complex plane, is characterized by Newtonian equations of motion “of goldfish type” (acceleration equal force, with specific velocity-dependent one-body and two-body forces) featuring several arbitrary coupling constants. The corresponding initial-...
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ژورنال
عنوان ژورنال: Journal of Nonlinear Mathematical Physics
سال: 2021
ISSN: 1776-0852
DOI: 10.1080/14029251.2016.1175823