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Notes on Multi-linear Variable Separation Approach

Notes on multi-linear variable separation approach
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摘要 The multi-linear variable separation approach method is very useful to solve (2+1)-dimensional integrable systems. In this letter, we extend this method to solve (1+1)-dimensional Boiti system, (2+1)-dimensional Burgers system, (2+1)-dimensional breaking soliton system, and (2+1)-dimensional Maccari system. Some new exact solutions are obtained and the universal formula obtained from many (2+1)-dimensional systems is extended or modified.
出处 《Communications in Theoretical Physics》 SCIE CAS CSCD 2005年第4期582-584,共3页 理论物理通讯(英文版)
基金 浙江理工大学校科研和教改项目
关键词 variable separation approach (1+1)-dimensional Boiti system (2+1)-dimensional Burgers system (2+1)-dimensional breaking soliton system (2+1) -dimensional Maccari system 非线性物理学 多变量分离路径法 断裂孤波系统 偏微分方程
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参考文献6

  • 1S.Y. Lou, Phys. Lett. A277 (2000) 94.
  • 2X.Y. Tang and S.Y. Lou, J. Math. Phys. 44 (2003) 4000.
  • 3M. Boiti, J. Leon, F. Pempinelli, and A. Spire, J. Phys. A:Math. Gen. 37 (2004) 4243.
  • 4C.L. Zheng, J.F. Zhang, W.H. Huang, and L.Q. Chen,Chin. Phys. Lett. 20 (2003) 783.
  • 5Attilio Maccari, J. Math. Phys. 37 (1996) 6207.
  • 6X.Y. Tang, S.Y.Lou, and Y. Zhang, Phys. Rev. E66 (2002) 046601.

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