A bilinear Bäcklund transformation of a (3+1) -dimensional generalized KP equation

Wen Xiu Ma, Alrazi Abdeljabbar

Research output: Contribution to journalArticlepeer-review

122 Scopus citations


A bilinear Bäcklund transformation is presented for a (3+1)-dimensional generalized KP equation, which consists of six bilinear equations and involves nine arbitrary parameters. Two classes of exponential and rational traveling wave solutions with arbitrary wave numbers are computed, based on the proposed bilinear Bäcklund transformation.

Original languageBritish English
Pages (from-to)1500-1504
Number of pages5
JournalApplied Mathematics Letters
Issue number10
StatePublished - Oct 2012


  • Bäcklund transformation
  • Hirota bilinear form
  • Solitary wave solution


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