The degeneration of the breathers for the BKP equation |
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| Institution: | 1. School of Mathematical Sciences, USTC, Hefei, Anhui 230026, PR China;2. Institute for Advanced Study, Shenzhen University, Shenzhen, Guangdong 518060, PR China;1. Department of Mathematical and Physical Engineering, Benha University, Faculty of Engineering, Shubra, Egypt;2. Neighbourhood of Akcaglan, Imarli Street, Number: 28/4, Eskisehir 26030, Turkey;1. School of Mathematical Sciences, USTC, Hefei, Anhui 230026, PR China;2. Department of Mathematics, Ningbo University, Ningbo, Zhejiang 315211, PR China;1. Department of Mathematics, Faculty of Science, University of Zakho, Zakho, Iraq;2. Department of Mathematics, Faculty of Science, Firat University, Elazig, Turkey |
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| Abstract: | In this paper, by the complexification of the wave number of the soliton given by the Hirota bilinear method, we get the breather solutions. Lumps of the BKP equations are constructed by full degeneration of the breathers, i.e., the limit of infinitely large period of the breathers. The localization characters of the 1-order lump by contour line method are studied analytically. The partial degeneration of the breathers yields hybrid solutions including soliton, lump and breathers. |
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