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ISSN 1088-6826(e) ISSN 0002-9939(p)

On integrability of nonautonomous nonlinear Schrödinger equations

Author: Sergei K. Suslov
Journal: Proc. Amer. Math. Soc. 140 (2012), 3067-3082
MSC (2010): Primary 35Q55, 35Q51; Secondary 35P30, 81Q05
Posted: December 30, 2011
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Abstract: We show, in general, how to transform the nonautonomous nonlinear Schrödinger equation with quadratic Hamiltonians into the standard autonomous form that is completely integrable by the familiar inverse scattering method in nonlinear science. Derivation of the corresponding equivalent nonisospectral Lax pair is also outlined. A few simple integrable systems are discussed.

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