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Two‐soliton solutions to the three‐dimensional gravitational Hartree equation
Author(s) -
Krieger Joachim,
Raphaël Pierre,
Martel Yvan
Publication year - 2009
Publication title -
communications on pure and applied mathematics
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 3.12
H-Index - 115
eISSN - 1097-0312
pISSN - 0010-3640
DOI - 10.1002/cpa.20292
Subject(s) - soliton , hartree , gravitation , classical mechanics , mathematical physics , gravitational wave , mathematics , physics , astrophysics , quantum mechanics , nonlinear system
We construct nondispersive two‐soliton solutions to the three‐dimensional gravitational Hartree equation whose trajectories asymptotically reproduce the nontrapped dynamics of the gravitational two‐body problem. © 2009 Wiley Periodicals, Inc.