On Integrability of Nonautonomous Nonlinear Schroedinger Equations

2010/12/16 by Suslov, Sergei K. · 1 citation
#35Q51. Secondary 35P30 #81Q05 #FOS: Physical sciences #Mathematical Physics (math-ph) #Primary 35Q55

paper · doi:10.48550/arxiv.1012.3661

Abstract

We show, in general, how to transform the nonautonomous nonlinear Schroedinger 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 outlined. A few simple integrable systems are discussed.

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• Bifurcation Analysis, Modulational Instability and Solitons Solutions for a Coupled Nonlinear Schrödinger-Type Equations with Variable Coefficients

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