{"paper":{"title":"Cosmology and the Korteweg-de Vries Equation","arxiv_id":"1205.5641","primary_cat":"astro-ph.CO","submitted_at":"2012-05-25T09:13:37+00:00","version_compiled":"v2"},"notice":"Every quoted sentence is the authors' text from the arXiv listing abstract. Labels and probabilities are the outputs of classifier-1.13-20260917 on the question bank abstract-p1-20260923, exactly as returned. 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cosmology.","hedge":{"p":0.51,"label":"unclear"},"own_p":0.7,"main_claim_p":0.03,"quantitative":false,"quantitative_p":0.02,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.0,"background":0.06,"limitation":0.0,"future_work":0.0,"contribution":0.94,"interpretation":0.0}},{"i":2,"p":0.94,"id":"s2","own":true,"role":"result","text":"It is found that the KdV equation arises in a number of important scenarios, including inflationary cosmology, the cyclic universe, loop quantum cosmology and braneworld models.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.74,"main_claim_p":0.43,"quantitative":false,"quantitative_p":0.21,"role_probabilities":{"gap":0.0,"method":0.0,"result":0.94,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.06,"interpretation":0.0}},{"i":3,"p":0.42,"id":"s3","own":true,"role":"result","text":"Analogies can be drawn between cosmic dynamics and the propagation of the solitonic wave solution to the equation, whereby quantities such as the speed and amplitude profile of the wave can be identified with cosmological parameters such as the spectral index of the density perturbation spectrum and the energy density of the universe.","hedge":{"p":0.79,"label":"asserted"},"own_p":0.6,"main_claim_p":0.37,"quantitative":false,"quantitative_p":0.41,"role_probabilities":{"gap":0.0,"method":0.03,"result":0.42,"background":0.0,"limitation":0.0,"future_work":0.0,"contribution":0.15,"interpretation":0.4}},{"i":4,"p":0.72,"id":"s4","own":false,"role":"method","text":"The unique mathematical properties of the Schwarzian derivative operator are important to the analysis.","hedge":{"p":1.0,"label":"asserted"},"own_p":0.17,"main_claim_p":0.04,"quantitative":false,"quantitative_p":0.04,"role_probabilities":{"gap":0.0,"method":0.72,"result":0.0,"background":0.23,"limitation":0.0,"future_work":0.0,"contribution":0.05,"interpretation":0.0}},{"i":5,"p":0.72,"id":"s5","own":true,"role":"contribution","text":"A connection with dark solitons in 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