| Summary: | 碩士 === 國立臺灣大學 === 數學研究所 === 94 === We add the trap potentials based on coupled systems of nonlinear Schrodinger equation in the previous paper, and use these to conjecture possible effect of compressible and incompressible limits. The main idea of our arguments is to define an ``H-function'', to prove some conservation laws, and to calculate for result after substitution.
There are four sections in this paper. In Section 1, we write the equations discussed in the main bibliography. Moreover, we discuss the result after adding one term(trap potential), and conclude the outcome. In Section 2, we prove some conservation laws. According to these,we prove the two main theorem in Section 3 and Section 4.
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