The fourth order nonlinear Schrodinger limit for quantum Zakharov system

Abstract

This paper is concerned with the quantum Zakharov system. We prove that when the ionic speed of sound goes to infinity, the solution to the fourth order Schrodinger part of the quantum Zakharov system converges to the solution to quantum modified nonlinear Schrodinger eqaution.

arXiv comment30 pages

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Cited by in corpus (2)

• Non-delay limit in the energy space from the nonlinear damped wave equation to the nonlinear heat equation
• Modified Strichartz Estimate of the Periodic Fourth Order NLS