科研之友
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摘要
In this paper, we try to find bounded traveling wave solutions to short pulse equation (SPE) under different combinations of the coefficients of SPE. Results show that the global bounded traveling wave solutions to SPE are possible only in the focusing nonlinearity and impossible in the defocusing nonlinearity. The periodic loop or inverted loop, and the periodic hump or inverted hump global bounded traveling solutions are obtained in the focusing nonlinearity for three cases separately. The former can degenerate into loop or inverted loop solitary solutions.
- 出版日期2012-12
- 单位湖南大学
