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Integrable Couplings of the Kaup-Newell Soliton Hierarchy by. Mengshu Zhang. A thesis submitted in partial fulfillment of the requirements for the degree of. Master of Arts. Department of Mathematics Statistics. College of Arts and Sciences. University of South Florida. Major Professor Wen-Xiu Ma, Ph.D. Arthur Danielyan. Powerful multi-dimensional simulation platforms developed on thesis solutions gmbh the basis of magazine photo essay AVLs engineering knowledge guide you to practical. Aug 6, 2016. In this thesis, classical solitons are constructed in the context of the quantum Nonlinear. Schrdinger equation (NLS). Solitons arise as stable, localized solutions to the classical. NLS equation, which can be seen as a mean field version of its fully quantum mechanical counterpart. This thesis aims to identify.