PAINLEVÉ ANALYSIS AND NEW ANALYTIC SOLUTIONS FOR (1+1)-DIMENSIONAL HIGHER-ORDER BROER–KAUP SYSTEM WITH SYMBOLIC COMPUTATION
作者： XIAO-NAN LI , GUANG-MEI WEI , YU-PING LIU , YUE-QIAN LIANG , XIANG-HUA MENG
DOI: 10.1142/S0217979214500672
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摘要: The (1+1)-dimensional higher-order Broer–Kaup (HBK) system is investigated in this paper. Painleve test shows that there are two solution branches, one of which has the resonance -2. And an auto-Backlund transformation obtained by truncated expansion. new analytic solutions presented means transformation, including periodic and soliton-like solutions. Similarity reductions for HBK given out to ordinary differential equations (ODEs) through CK direct method.
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