Rigorous proof of soliton stability and absence of collapse in Kerr media and Bose-Einstein condensates with a general nonlocal nonlinearity

Bang, Ole; Krolikowski, Wieslaw; Wyller, John; Rasmussen, Jens Juul

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Rigorous proof of soliton stability and absence of collapse in Kerr media and Bose-Einstein condensates with a general nonlocal nonlinearity

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2001

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We prove that nonlocality of the nonlinear response means that collapse cannot occur in Bose-Einstein condensates and optical Kerr media in all physical dimensions. The nonlocal nonlinear response is symmetric, but of arbitrary shape.

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https://dspace-test.anu.edu.au/handle/1885/733739022

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DevOps Pure Testing

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Rigorous proof of soliton stability and absence of collapse in Kerr media and Bose-Einstein condensates with a general nonlocal nonlinearity

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