The breather-type and periodic-type soliton solutions for the (2+1 )-dimensional breaking soliton equation

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• 作者：Zhanhui Zhao^a ; ^{zhhzhao2010@yahoo.cn} ; Zhengde Dai^b ; ^{zhddai2004@yahoo.com.cn} ; Gui Mu^b
• 关键词：Breaking soliton equations ; Extended three-wave method ; Double-breather-type soliton ; Periodic-type two-soliton solution
• 刊名：Computers and Mathematics with Applications
• 出版年：2011
• 出版时间：April 2011
• 年：2011
• 卷：61
• 期：8
• 页码：2048-2052
• 全文大小：211 K

文摘

Exact breather-type and periodic-type soliton solutions including the double-breather-type soliton solutions, the breather-type periodic soliton solutions and breather-type two-soliton solutions, and the periodic-type two-soliton and three-soliton solutions for the (2+1)-dimensional breaking soliton equation are obtained using the extended three-wave method (ETM). The results show that the ETM may provide us with a straightforward and effective mathematical tool for seeking multi-wave solutions of higher dimensional nonlinear evolution equations.