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    Bai Yu-Mei, Taogetusang, Han Yuan-Chun
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    • New solutions of several kinds of auxiliary equations, Bcklund transformation and nonlinear superposition formula of the solutions are presented by studying a highly auxiliary equation method. Based on this and different m and n, the method of combining transformation and direct integration is used to obtain infinite sequence new exact solutions of K(m,n) equation and B(m,n) equation, which include infinite sequence smooth soliton solutions, peak soliton solutions and compact soliton solutions.
        • Funds:Project supported by the National Natural Science Foundation of China (Grant No. 10862003), the Science Research Foundation of Institution of Higher Education of Inner Mongolia Autonomous Region, China (Grant No. NJZY12031), and the Natural Science Foundation of Inner Mongolia Autonomous Region, China (Grant No. 2010MS0111).
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      Metrics
      • Abstract views:7067
      • PDF Downloads:590
      • Cited By:0
      Publishing process
      • Received Date:17 January 2012
      • Accepted Date:31 March 2012
      • Published Online:05 October 2012

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