Abstract
First, some progress of high-temperature superconductivity is discussed. Then we research its theory, including the extensive quantum theory, soliton solution, bag model and so on. Third, superfluidity and Bose-Einstein condensation (BEC), etc., are searched, such as the double solution of soliton-chaos in nonlinear equations. Finally, we predict existences of the hightemperature superfluidity and BEC, etc., and discuss some problems.
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