期刊
PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY
卷 140, 期 9, 页码 3067-3082出版社
AMER MATHEMATICAL SOC
DOI: 10.1090/S0002-9939-2011-11176-6
关键词
Nonlinear Schrodinger equations; generalized harmonic oscillators; Green's function; propagator; completely integrable systems; Lax pair; Zakharov-Shabat system
资金
- National Science Foundation-Enhancing the Mathematical Sciences Workforce in the 21st Century (EMSW21) [0838705]
- Alfred P. Sloan Foundation-Sloan National Pipeline Program in the Mathematical and Statistical Sciences [LTR 05/19/09]
- National Security Agency-Mathematical & Theoretical Biology Institute [H98230-09-1-0104]
- Division Of Mathematical Sciences
- Direct For Mathematical & Physical Scien [0838705] Funding Source: National Science Foundation
We show, in general, how to transform the nonautonomous nonlinear Schrodinger 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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